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  • UPTEC-ES13023

    Examensarbete 30 hpJuni 2013

    Study of auxiliary power systems for offshore wind turbines an extended analysis of a diesel gen-set

    solution

    Joakim Berggren

  • Teknisk- naturvetenskaplig fakultet UTH-enheten Besksadress: ngstrmlaboratoriet Lgerhyddsvgen 1 Hus 4, Plan 0 Postadress: Box 536 751 21 Uppsala Telefon: 018 471 30 03 Telefax: 018 471 30 00 Hemsida: http://www.teknat.uu.se/student

    Abstract

    Study of auxiliary power systems for offshore windpower

    Joakim Berggren

    Until today the offshore wind power has grown in a steady pace and many new windfarms are being constructed around the globe. An important factor that is investigatedtoday in the industry are the security of power supply to the equipment needed forcontrolling the offshore system during emergency situations. When a offshore windfarm is disconnected from the external grid and an emergency case occur the windturbine generators lose their ability to transfer power and they are forced to be takenout of operation. As there are a number of loads in the wind turbines (navigationlights, sensor- and communication-apparatus, ventilation- and heating equipment etc.)they have a load demand which must be supplied in emergency mode. The GermanTransmission System operator (TSO) TenneT GmbH has set a requirement that thewind turbines is to be supplied by an auxiliary power supply (APS) in 12 hours andtherefore there is need for a long-term auxiliary power supply system. This masterthesis was assigned to investigate the most feasible APS-system. From the study of anumber of different APS's one concept was chosen. This was the diesel gen-setsolution placed on an offshore substation at sea. The system was modeled in thesoftware DIgSILENT PowerFactory where a load flow analysis validated the calculateddata and a study of the impact of transients in the system was performed.

    ISSN: 1650-8300, UPTEC ES13023Examinator: Kjell Pernestlmnesgranskare: Sandra ErikssonHandledare: Magnus Tarle, Ann Palesj

  • J. Berggren Master thesis, Spring 2013

    Acknowledgements

    In this master thesis study, several people have been involved and I like to acknowledge

    them all here.

    A special thanks to my supervisors at ABB, Magnus Tarle and Ann Palesj who steadily

    have pushed me forward and help me through the work. With interesting discussions and

    with their strong energy they have supported me with all their spirit and commitment.

    My evaluator at Uppsala University Sandra Eriksson have helped me with good discussions

    as the master thesis work has preceded especially questions regarding generator design issues.

    She has helped me to organize the thesis report in a good way.

    I want to thank the other co-workers at ABB / Oshore Wind Connections who have

    provided me with detailed information and with discussion that have given me many new

    experiences and much new knowledge. Especially Thorulf Brattstrm, Mikael Svedung, Jorge

    Brischetto, Drasko Skenderija, Steven Coppens, Fernando Sada, Nassim Raoo and Oskar

    Bjrkbacka.

    Other persons in the ABB concern I'd like to thank are:

    Gnter Stark and Stefan Hopp from ABB Germany which has provided me with infor-

    mation about diesel gen set and the dynamical transients present in the oshore wind

    farm.

    Jan Westerlund at ABB Helsinki with the help of rating the synchronous generator in

    the diesel gen set.

    Rudolf Moeckli at ABB Schweiz that have help with information about the control

    procedure when starting a diesel gen set.

    Marja-Liisa Marttila and Sakari Laine at ABB Vaasa with the knowledge about shunt

    reactors in the oshore wind farm.

    Apart from the people at ABB I want to acknowledge the extensive assisting aid and infor-

    mation that Luis Leal from the wind turbine manufacturer REpower has given me. Without

    his help with essential information about the Wind turbine equipment this master thesis study

    couldn't be completed.

    With the help of contacts at dierent diesel gen set manufacturers a specic diesel gen

    set solution wouldn't have been possible and hereby I'd like to acknowledge this people. They

    are Jrg Haabermaas at MTU, Gran sterdahl at Wrtsil, Peter Bojtas at MAN and Karl

    Stapelfeldt at the company CATUM.

    3(75)

  • J. Berggren Master thesis, Spring 2013

    Populrvetenskaplig sammanfattning

    Fram till idag har havsbaserad vindkraft kat i en jmn takt och mnga nya vindkraft-

    parker byggs eller tas i drift. Skerhetskraven p vindkraftverken kar idag och kraftsys-

    temsoperatrer (TSOs) krver att ndkraft kopplas in till vindkraftverk inom en kort period

    (TenneT har ett krav p 12 timmar). Nr ett lngvarigt avbrott (t.ex. kabelbrott) uppstr

    kan vindkraftsparker till havs vara utan el/energi i era mnader och om inte vindkraftverk

    underhlls (med vrme, ventilation etc.) under denna tid kan de bli skadade. Samtidigt mste

    navigationsbelysning vara tillgnglig som en skerhet fr sjfart och ygplan.

    Nr en vindkraftpark blir bortkopplad frn det externa ntet vid ett ndfall frlorar vin-

    dkraftverken sin frmga att verfra eekt och de tas ur drift. Eftersom det nd nns ett

    antal laster i vindkraftverken (lanternor, sensor- och kommunikations- apparater, ventilations-

    och vrmeanlggningar) mste de ha ett ndkraftsystem som tillgodoser eektbehovet.

    Inom detta examensarbete undersktes frst olika ndkraftssystem p en grundlggande

    niv fr att urskilja ett eller era lmpliga system att anvnda som reservkraft. De un-

    derskta systemen var dieselgen-set(s) p en havsbaserad plattform eller placerad vid vind-

    kraftverk, gas/dieselgen-set, solceller (ev. kombinerat med batterier), vgkraftverkskoncept och

    fullomriktar-vindturbiner i kombination med dieselgen-sets.

    Utifrn en grundlggande studie av ndkraftsystemen pvisades ett koncept som ansgs

    vara frdelaktigt att genomfra. Detta var ett dieselgen-set system som placerats p en havs-

    baserad transformatorstation kopplad till vindkraftsparken.

    En modell av en vindkraftspark med ca 500 MW nominell eekt installerad i totalt 82 vin-

    dkraftverk konstruerades i programvaran DIgSILENT PowerFactory dr en lastdesanalys

    validerade berknade data frn Microsoft Oce Excel.

    Utifrn lastdesanalyser i en ytterligare DIgSILENT PowerFactory modell ver den stud-

    erade vindkraftparken i ndlge (nr vindkraftverken har laster som behver frses med eekt)

    kunde olika nominella eekter p era generator typer och p en motor bestmmas. Diesel

    motorn krvde ca 4 MW och den lgsta generator storleken var 4.2 MVA med shunt reaktorer

    inkopplade p en havsbaserad plattform.

    En underskning av transienter som r nrvarande i det svaga kraftsystem (inrusningsstrm-

    mar, spnningsvariationer) som den havsbaserade vindkraftparken utgr nr det r bortkop-

    plat frn det externa ntet genomfrdes. Olika koncept fr att minska pverkan av de tran-

    sienta eekterna freslogs efter att ha studerat olika tekniker. Tv koncept som diskuteras r

    spnningsrampning av vindparksntet utan att ha vindturbinlaster inkopplade och mjukstart

    av vindkraftspark i ndlge dr strng efter strng av vindturbiner energiseras tills att alla

    laster i vindparken tagits i drift.

    Slutsatsen av de olika resultaten detta examensarbete har genererat sammanfogades till

    en beskrivning av de mest frdelaktiga dieselgen-set:en (med/utan shunt reaktorer) och en

    diskussion angende alternativa framtida ndkrafts-koncept som eventuellt kan vara frdelak-

    tiga presenterades.

    4(75)

  • J. Berggren Master thesis, Spring 2013

    Abbrevations and clarications

    A Ampere

    AC Alternating Current

    APS Auxiliary Power System

    CS Collector System

    DC Direct Current

    DFIG Doubly Fed Induction Generator

    Gen-set Generator set

    HV High Voltage

    HVDC High Voltage Direct Current

    MV Medium Voltage

    O&M Operation and Maintenance

    OS Oshore Substation

    OnS Onshore Substation

    OS Oshore System

    OWF Oshore Wind Farm

    OWP Oshore Wind Power

    PF Power factor

    pu Per Unit

    PV Photo Voltaic

    RMS Root Mean Square

    SG Synchronous Generator

    TC Transmission Cable

    Trafo Transformer

    TS Transmission System

    TSO Transmission System Operator

    UPS Uninterrupted Power Supply

    V Volt

    VA VoltAmpere

    WECS Wind Energy Conversion System

    WT Wind Turbine

    WTG Wind Turbine Generator

    W Watt

    WPP Wave Power Plant

    WPF Wave Power Farm

    5(75)

  • J. Berggren Master thesis, Spring 2013

    Description of parameters

    C Capacitance

    cos Power Factor denition Load angle of GeneratorE Electromagnetic force

    f Electrical Frequency of grid

    module PV module Eciencytot PV system EciencyI Current

    k linear constant

    L Inductance

    m Mass

    Angular frequency OhmP Active Power

    Pf Packing factor Numerical operator phi which determines the angle between P & QQ Reactive Power

    R Resistance

    DensityS Complex Power

    |S| Apparent PowerU Voltage

    V Volume

    Z Impedance

    X Reactance

    uk Relative voltage drop over transformer (no-load)

    6(75)

  • J. Berggren Master thesis, Spring 2013

    Contents

    1 Introduction 9

    1.1 Emergency requirements for an oshore wind farm . . . . . . . . . . . . . . . . 9

    2 Purpose and delimitations 10

    3 Background 10

    3.1 Oshore system description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

    3.2 Load demand in Wind turbines . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

    4 Theory of the investigated oshore wind farm system 13

    4.1 Oshore Wind turbines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

    4.1.1 Wind turbine generator . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

    4.1.2 UPS-system in wind turbines . . . . . . . . . . . . . . . . . . . . . . . . 15

    4.2 Inter array cables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

    4.3 Wind turbine transformers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

    4.4 Load demand in Wind turbines . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

    4.5 Grid stability of electrical oshore systems . . . . . . . . . . . . . . . . . . . . . 17

    5 Investigated oshore wind farm system 17

    6 DiGSILENT PowerFactory 18

    7 Modeling in DiGSILENT PowerFactory 20

    7.1 Modeling of OWF in Normal operation . . . . . . . . . . . . . . . . . . . . . . . 20

    7.2 Calculations of load ow in Emergency mode . . . . . . . . . . . . . . . . . . . 21

    7.3 Modeling of OWF in Emergency mode . . . . . . . . . . . . . . . . . . . . . . . 22

    8 Auxiliary power supply concepts 24

    8.1 Diesel gen-set(s) used as APS-system . . . . . . . . . . . . . . . . . . . . . . . . 24

    8.1.1 Stationary diesel gen-set concepts . . . . . . . . . . . . . . . . . . . . . . 25

    8.1.2 Mobile diesel gen-set concept . . . . . . . . . . . . . . . . . . . . . . . . 26

    8.2 Gas/diesel gen-set(s) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

    8.3 Photovoltaic's (PV's) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

    8.3.1 PV's on Platform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

    8.3.2 PV's on WT nacelles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

    8.4 Batteries combined with PV's . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29

    8.5 Wave Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

    8.6 Full converter wind turbines & diesel gen-set . . . . . . . . . . . . . . . . . . . . 33

    9 Summary of APS-system studies 34

    9.1 Diesel gen-set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

    9.1.1 On oshore substation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

    9.1.2 at WT towers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

    9.1.3 Mobile diesel gen-set on marine vessel . . . . . . . . . . . . . . . . . . . 35

    9.2 Gas/diesel gen-set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

    9.3 Photovoltaic's (PV's) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

    7(75)

  • J. Berggren Master thesis, Spring 2013

    9.3.1 On OS roof . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

    9.3.2 On WT nacelle roof . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

    9.4 Batteries combined with PV's . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

    9.5 Full converter wind turbines & diesel gen-set . . . . . . . . . . . . . . . . . . . . 37

    9.6 Chosen APS-system for further investigation . . . . . . . . . . . . . . . . . . . . 37

    10 Sizing of diesel gen-set: Calculations 38

    10.1 Sizing of diesel gen-set without wind turbine UPS-system utilised . . . . . . . . 38

    10.1.1 Rating of standard generator . . . . . . . . . . . . . . . . . . . . . . . . 38

    10.1.2 Rating of special generator . . . . . . . . . . . . . . . . . . . . . . . . . 41

    10.2 Sizing of diesel gen-set with wind turbine UPS-system utilised . . . . . . . . . . 42

    10.2.1 Rating of standard generator . . . . . . . . . . . . . . . . . . . . . . . . 44

    10.2.2 Rating of special generator . . . . . . . . . . . . . . . . . . . . . . . . . 45

    10.3 Reactive power compensation equipment . . . . . . . . . . . . . . . . . . . . . . 45

    11 Slow start of OWF with diesel gen-set 47

    12 Transient studies 48

    12.1 Connection of WT loads in sequence . . . . . . . . . . . . . . . . . . . . . . . . 49

    12.2 Ramping up voltage over diesel gen-set . . . . . . . . . . . . . . . . . . . . . . . 50

    12.2.1 Basic voltage ramping study . . . . . . . . . . . . . . . . . . . . . . . . . 51

    13 Diesel gen-set summary 54

    14 Discussion 55

    15 Conclusions 58

    16 Future Work 59

    A Basic theory of Oshore wind farm systems 67

    A.1 Fundamentals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

    A.2 Generators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

    A.2.1 Magnetic end core heating limit . . . . . . . . . . . . . . . . . . . . . . . 71

    A.3 Transformers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71

    A.4 Cables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72

    B Transients theory and calculations 73

    B.1 Voltage ramping power ow calculations . . . . . . . . . . . . . . . . . . . . . . 74

    B.1.1 OWF equivalent data . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75

    C Control systems of diesel gen-sets 75

    8(75)

  • J. Berggren Master thesis, Spring 2013

    1 Introduction

    Today, our society's energy need is mainly supplied by the use of fossil fuels. The age of the

    fossil fuels has led the humanity to an advanced development in the technological area and we

    have created the modern society. However, as the Stone Age did not end because of the lack

    of stone the Age of the fossil fuels will not end because we run out of oil, gas and coal. It will

    end sooner. The fact is that the fossil fuels are nite energy resources which eventually will

    be consumed. In the striving towards a more sustainable energy system, many countries in

    Europe are trying to increase the use of renewable electricity sources in the system. This has

    started a large-scaled development in areas like oshore wind power area all over the world,

    especially in Europe, North America and China [1].

    In the future, the Oshore wind farm industry is expected to grow in a steady pace and the

    installed power is expected to increase. For Europe, there are scenarios for the development

    both in medium term (2020) and in long term (2030) [2]. In these scenarios the largest nations

    that will produced most of the oshore wind farms (OWFs) are UK and Germany, followed by

    France, Netherlands, Belgium, Denmark and Sweden. In total the amount of installed power

    could grow from present values of approximately 5 GW to 42 GW in 2020 and 126 GW in

    2030. However, these numbers should only be treated as indications of the increased installed

    power and not as exact values.

    Figure 1: The development of the oshore wind farm industry in the future, in a perspective of the

    year 2020 and 2030. The increase in OWFs are shown per country in GW [2].

    1.1 Emergency requirements for an oshore wind farm

    The large-scale development in oshore wind power have led to increased security restrictions

    of the components in an oshore wind farm during emergencies. Under these, the park is

    cut-o from the external grid (i.e. a cable failure) and no power can be transferred to land

    through the export cables.

    In order to certicate an OWF, governmental institutions as transmission system operators

    (TSOs) require a complete auxiliary power supply, an APS-system that support acting wind

    9(75)

  • J. Berggren Master thesis, Spring 2013

    turbine loads with power during extreme emergencies where the wind farm is disconnected

    from the power grid in up to three months [3].

    Due to the fact that the UPS-system consists of limited energy storage capability the WTs

    only have a power supply of maximum 12 hours today [4], the need of an APS-system is

    required.

    As WT manufacturer REpower has raised a question to the ABB division ABB / Power

    Systems / Oshore Wind Connections (OWC) regarding the design of an APS-system, sup-

    plying the wind turbine loads during emergencies, this study was created with the aim of

    pointing out suitable system designs.

    2 Purpose and delimitations

    This study will produce a technical overview of dierent auxiliary power supply systems

    (APS's) that must be constructed when an emergency occur. First, a distinguishing of inter-

    esting designs is to be performed in order to nd and clarify which systems that are theoretical

    & economical possible to design. The dierent cases examined are listed below in the text:

    Diesel Gen-set(s)

    Placed on OS

    Placed at WTs

    Placed on mobile watercraft

    Gas/diesel gen-set

    Photovoltaic cells combined with batteries

    Batteries

    Wave power

    Full converter WT's & diesel gen-set's

    The dierent system concepts are all investigated by the assumption that they all have

    the potential to be a future constructed APS-system. The system(s) that could be of special

    interest is determined and can be investigated more deeply in coming sections later on. From

    the results of this deeper study, conclusions regarding the APS-system concept(s) will be

    taken.

    3 Background

    3.1 Oshore system description

    In order to understand the headline of this study, the electrical topology of an OWF is ex-

    plained in this chapter. The design can be classied into a number of dierent categories

    with all the necessary infrastructure and components required for the dierent designs. They

    are the transmission system (TS), the collector system (CS) and the wind energy conversion

    10(75)

  • J. Berggren Master thesis, Spring 2013

    Figure 2: Electrical layout of an OWF with two oshore substations (example).

    system (WECS) of the OWF [5]. A simple and overseeing picture which shows the overall

    electric design of an oshore system is visible in Figure 2.

    The Collector System (CS)

    Switchgear in Wind Turbines (WTs)

    Switchgear in Oshore System (OS)

    Submarine inter array cables in OWF connecting the MVAC Oshore Substation

    (OS) with the wind turbines

    The Transmission System (TS)

    Submarine transmission cables from OS to land

    Transmission lines or underground cables on land to the Onshore Substation (OnS)

    The Wind Energy Conversion System (WECS)

    Gearboxes

    Transformers

    Cables in the wind turbines

    Electrical converters

    Additional power electronics

    Main structures and systems in the Wind turbines

    WECS

    Shaft

    Tower

    11(75)

  • J. Berggren Master thesis, Spring 2013

    Turbine

    Generator

    Foundation to place WT on

    Additional equipment in the OS

    Platform Transformer

    Switchgear

    Today wind farms are placed long away from shore (> 10 km) and sometimes the need

    of both AC and DC OS(s) are needed to minimize the transmission losses to onshore [1].

    Due to the technology in HVDC cables the losses are lower relative to HVAC cables and with

    increased distance there is more and more economical to use HVDC instead of HVAC [1, 6].

    Closest to the OWF, an AC OS is always placed and this is the last link before the OWF. The

    study is focused to investigate a APS-system placed on the AC OS or at the wind turbines

    in the OWF, see the scope presented in Figure 2. In Figure 3 the geographical layout of a

    OWF system is seen.

    Figure 3: A schematic picture of an oshore wind farm [7].

    3.2 Load demand in Wind turbines

    Oshore wind turbines have both constant and alternating loads that always are in need of

    power even during emergency situations when the OWF is without a power supply. The total

    WT load demand consists of a number of dierent smaller loads [3]:

    Heating loads

    Ventilation loads

    Transformer magnetisation loads

    1

    Navigation-lights

    Additional loads for operating the necessary load equipment

    1

    See Appendix A.3 for information regarding the transformer losses.

    12(75)

  • J. Berggren Master thesis, Spring 2013

    4 Theory of the investigated oshore wind farm system

    In order to nd a suitable APS-system, a basic scenario of an oshore wind farm scenario

    consisting of 82 WTs with a rated output of 500 MW was chosen. This is a common size of

    a OWF constructed today and is therefore used as a reference design, as this study doesn't

    investigate any real OWF structure. The OWF conguration in emergency mode is shown

    in Figure 4. To fully understand the system design, the included dierent substructure parts

    (TCs, WTs, WT transformers) are described with their specic characteristics in this section.

    WT loads Heating, Ventilation, NavLights,

    Transformer magnetisation losses

    Array with 6 WT loads

    A total of 82 WTs in (82/6) strings Wind Farm rated output production

    of 500 MW

    Offshore substationHVAC platform

    Array with 6 WT loadsTo onshore

    Figure 4: The investigated scenario of a OWF with POWF 500 MW .

    4.1 Oshore Wind turbines

    There are a number of dierent manufacturers which constructs WTs for OWFs as Siemens,

    Vestas, Nordex, REpower etc. In this study, data from the German manufacturer REpower is

    used and the basic information of the wind turbine is shown in Table 1.

    Table 1: Basic data of REpower 6M WT [8].

    Wind turbine data

    cos 0.925Rated Complex power S 6.65 MVA

    Rated Active power P 6.15 MW

    The inside of the WTs structure is shown in Figure 5 and the following list shows the most

    important equipments [9].

    13(75)

  • J. Berggren Master thesis, Spring 2013

    Figure 5: The REpower 6M WT [9].

    DFIG generator

    converter

    Three winding transformer

    UPS-system (Backup-system consisting of lead-acid batteries)

    Heating and ventilation equipment for power electronics, gearbox, etc.

    Navigation lights for visualising the WT for aircrafts and ships

    4.1.1 Wind turbine generator

    The DFIG generator is a common wind turbine generator (WTG) type that is used in REpower

    6M WTs. It is built up by a variable speed constant-frequency induction generator [10]. The

    generator has 0.66 kV as maximal rotor voltage with a stator voltage of 6.6 kV. During

    emergencies the circuit breakers from the WT transformer to the excitation of the generator

    are open and only the loads are energised from the transformer, see Figure 6.

    Figure 6: The DFIG REpower 6M WT when wind turbine is in APS-system mode [4].

    14(75)

  • J. Berggren Master thesis, Spring 2013

    4.1.2 UPS-system in wind turbines

    The WTs in OWFs can sometimes have an existing emergency power supply placed in connec-

    tion to the WT structure. The manufacturer REpower has in every WT placed a UPS-system

    which main component is a leadacid battery with a capacity of supplying the average WT

    load demand of 42 kW up to 12 hours [4].

    The batteries have specic charge-rates (C-rates) which describes the batteries ability to

    be recharged (can also represent discharge) [11]. A high charge-rate means that a battery will

    be recharge in a short time and a low charge-rate represent the opposite where the batteries

    have a long recharge-time. The C-rate depends on the battery type, i.e. a lead-acid battery

    is not able to recharge in a short time and has therefore a low C-rate.

    The usage of the existing UPS-system together with a new APS system could be a useful

    combination in order to utilize the available emergency systems in the OWF. In that way, it

    could maybe be possible to make a sustainable adaption to a APS-system which is a design

    of both old and new equipment in the OWF. The use of the UPS-system in the WTs together

    with diesel gen-sets are investigated in Section 10.2.2.

    4.2 Inter array cables

    The TCs in the OWF are chosen to be typical MV 30 kV AC XLPE three-core cables with

    simple reinforcement because of the simplicity of this cable type [12]. They have dierent

    current ratings, cable parameters (capacitance C & inductance L) and dierent impedances

    (Z0, Z1 and Z2) that depends on seabed conditions and load proles/duty cycles, see Table 2.

    Table 2: The dierent MV 30 kV cables used in a OWF [13].

    30 kV threecore cables, XLPE 3-conductor cable parameters

    Cross-section of conductor 120 mm2 240 mm2 400 mm2 630 mm2

    Current rating [A] 340 480 590 715

    Capacitance C [F/km] 0.19 0.24 0.29 0.35Inductance L [mH/km] 0.42 0.38 0.35 0.32

    Z1 & Z2 [Ohm] 0.221 + j0.13 0.123 + j0.116 0.088 + j0.107 0.067 + j0.1

    Z0 [Ohm] 0.416 + j0.118 0.306 + j0.104 0.262 + j0.095 0.228 + j0.088

    4.3 Wind turbine transformers

    There are two kinds of transformer types in the OWF, the AC OS transformer and the WT

    transformer(s). The OS transformer is a step-up transformer where the voltage is transformed

    from 33 kV to 132 kV, 150 kV or 220 kV (MVAC TCs) and is the connection point in the OWF

    where transmission cables to land are connected. As an OWF can have a rated output of a

    hundreds of MWs the OS transformer can be large in size with > 100 MVA [14] in output.

    The WT transformer used in this study is the rated three-winding transformer given by

    REpower [15]. The transformer is adapted for the normal mode where the WTGs are pro-

    ducing power to the onshore power grid. Therefore the rating of the transformer S=6.7 MVA

    corresponds to the rated power of the WTG, S=6.65 MVA with PF=0.925.

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    Figure 7: The WT transformer in reality [9].

    Table 3: The basic data of REpower 6M WTG transformer [15].

    Transformer design data

    Rated power S1 6.7 MVARated power S2 6 MVARated power S3 1.1 MVA

    Rated voltage U1 33 kV2

    Rated voltage U2 6.6 kV3

    Rated voltage U3 0.66 kV4

    4.4 Load demand in Wind turbines

    The load demand in a WT is made up by a number of smaller loads that contribute to the total

    load demand which are previously described in Section 3.2. They consists mainly of dierent

    motors and pumps which supports the heat, ventilation, navigation lights, magnetisation

    losses

    5

    etc. in the WTs. The total load demand of a REpower 6M WT is shown in Table 4.

    Table 4: The load demand in a REpower 6M WT [3].

    Basic WT load data

    Average load demand 42 kW

    Peak load demand 193 kVA

    2

    HV side of trafo

    3

    MV side of trafo

    4

    LV side of trafo

    5

    See Appendix A.3 for information regarding the transformer losses.

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    4.5 Grid stability of electrical oshore systems

    The Oshore wind farm in auxiliary power mode is a very weak grid operating in island mode

    where the only generation is the APS-system supply. This impacts the system stability when

    the OWF is going into emergency mode and the APS-system is started from a blackout.

    The relatively large amount of capacitance in the TCs in the OWF impacts the system

    as the capacitance together with the inductance in the cables and in transformers give

    rise to resonance and voltage oscillations.

    When the wind farm is energised, so called "transformer inrush currents" occurs which

    can damage the transformers or other OWF equipment. The currents can be as high as

    9 Inom of the WT transformer nominal current [3]. This phenomena is further describedin section 12.

    5 Investigated oshore wind farm system

    Due to the fact that the strings in OWFs consists of WTs connected in parallel by TCs, the

    power ow in the connecting TCs are dierent depending on the position in the string. For

    example a cable outermost doesn't have as high current rating Irated as a TC innermost in astring. Thus the rating of the TCs can be chosen according to the required Irated. Figure 8shows a string in the studied OWF.

    Figure 8: Power ow and length of TCs in a string of the studied OWF.

    In each string the power ow in TC nr 1-6 is determined with the help of Equation 1,

    Equation 2 and Equation 3. Equation 1 describes the active power ow in a string PstringNormal ,

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    Equation 2 describes the apparent power in a string SStringNormal and Equation 3 the reactivepower ow in a string QStringNormal .

    PstringNormal =POWFNormalnStrings(1)

    |S|StringNormal =PstringNormal

    cos(2)

    QStringNormal =|S|2stringNormal P 2StringNormal (3)

    ITCString =|S|StringNormal

    3ULN(4)

    The currents that ow through the TCs in a string ITCString are calculated from Equation 4.

    Table 5: Powers P, Q, |S| and the currents owing in one string ITCString of the selected OWF duringnormal operational mode, where WTs produce power to the onshore power system.

    From the current ratings of the TCs in a string it's possible to correlate consistent TC

    cable dimensions that match the currents in the string, seen in Table 6. The dierent TCs

    used in a OWF are compared to the specied cable dimensions described in Section 4.2.

    Table 6: The currents owing in a OWF string with corresponding TC ratings.

    6 DiGSILENT PowerFactory

    The software DIgSILENT PowerFactory is used in power system modelling, analysis and

    simulation of electric systems and includes a large variation of functions and applications that

    are used to create a model of a power system which can be simulated with respect to load

    ow calculations (steady-state), dynamical electromagnetic transients (EMTs), continency

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    analyses, short circuit analyses etc. [16]. The model parameters that are important to know

    of in the software are visualized in Table 7.

    Table 7: Dierent model parts in the software DiGSILENT PowerFactory [16].

    Review of Model parts used in DIgSILENT PowerFactory

    Model part Characteristic values

    PowerFactory picture

    Busbar 33 kV, 16 kV and 0.66 kV

    Node (connection point)

    Transmission lines

    33 kV, rated currents for dierent

    conductor mm2, Z0, Z1 and Z2

    WT transformer

    (3winding), rated power, rated

    voltages, Z0, Z1 and Z2, vectorgroup ( YY)

    WT transformer

    (2windings), rated power, rated

    voltages, Z0, Z1 and Z2

    External grid

    Reference for the power system

    outside of the OWF

    WT loads

    Average power demand of

    42 kW/WT

    Circuit breakers

    WTG Rated power, cos

    Shunt reactor Rated power

    Diesel genset Rated Apparent power |S|

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    7 Modeling in DiGSILENT PowerFactory

    7.1 Modeling of OWF in Normal operation

    A model of a string in the oshore wind farm during normal operation mode was created in

    the software DiGSILENT PowerFactory, in order to simulate the "loading" of the TCs for

    verication of the oshore wind farm layout. As the strings in the OWF have the same layout

    it's possible to only investigate one string. Data was taken from Section 4.1, Section 4.2,

    Section 4.3 and Section 5 to implement into the model parameters which consists of:

    A central busbar (symbolizing the AC OS)

    TCs

    WT transformers

    WTGs

    The model layout in non energised and in energised mode is shown in Figure 9a and Figure 9b.

    The loading on the TCs in a string were under 100 % not exceeding the current ratings of

    each cable selection, validating the design.

    (a) Model of an OWF string in normal operation

    (non energised) [16].

    (b) Model of an OWF string in normal operation

    (energised) [16].

    Figure 9: The model of an OWF string (non-energised/energised).

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    7.2 Calculations of load ow in Emergency mode

    Calculations of the active and reactive power transmitted in the system during emergencies

    are performed in the software Microsoft oce Excel.

    The active power transmitted in the system answers to the load demand of the WTs during

    emergencies, PWTGEmergency stands for 42 kW per WT including with the WT transformermagnetisation losses, see section 4.4. The copper losses in the transmission cables is neglected

    (Pcopper I2) as the the current is very low through a string during emergency operationcompared to normal operation. The total load demand in the WTs is POWFEmergency and thetotal load demand answers to POWFEmergency = 42 kW 82WTs = 3.44 MW .

    To be able to calculate the reactive power transmitted in the OWF in emergency mode and

    compare it with a load ow analysis in DiGSILENT PowerFactory the following assumptions

    are used:

    The TCs are perfect capacitors (basic assumption as there in reality are both resistive

    and inductive parameters present in a TC).

    The reactive power demand is mainly coming from the capacitive part of the TC.

    The load demand of 193 kVA present in eight seconds is neglected.

    The reactive power in the OWF is therefore calculated with the assumption that the

    capacitive part of the TCs in the OWF is the part which contributes to the load ow as

    XC U2 with a voltage of 33 kV (see Appendix A.4). QTC produced in the transmissionlines is calculated with Equation 5 and Equation 6.

    Z =U2

    |S| V A (5)

    For a perfect capacitor or inductor there is no net power transfer, thus all the power in

    the TCs is reactive, see Equation 6. The results of the calculations is shown in Table 8.

    QTC = QCap =U2

    XCV ar (6)

    Table 8: The reactive power in a string of the OWF (emergency mode).

    Cable number [F/km] [F] QTC [MVAr]

    1 0.35 0.875 -0.299

    2 0.29 0.203 -0.069

    3 0.24 0.168 -0.057

    4 5 0.19 0.133 -0.046

    6 QString -0.575QTot -7.86

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    7.3 Modeling of OWF in Emergency mode

    The design of a model for the oshore wind farm during emergencies is constructed in DiGSI-

    LENT PowerFactory to analyse the load ow in the system during the special operational

    mode. The simulated load ow is needed to be found in order to investigate any APS-system

    concepts further.

    The model is presented in Figure 10 consisting of a central busbar with connected strings.

    In each string the specic layout determined in Section 7.1 is used and a more detailed layout

    of strings nr 1-3 in the OWF is seen in Figure 11a. Figure 11b show a detailed layout of a

    part of string 1-3 in the OWF.

    Figure 10: The model of the OWF in emergency mode [16].

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    (a) A part of the model layout of

    the OWF during an emergency

    situation [16].

    (b) More detailed view of the system design. A part of

    string 1 is visualised [16].

    Figure 11: Detailed layout of the OWF in emergency mode.

    A load ow analysis was simulated by the help of a Newton-Raphson iteration [16] in order

    to nd the power ow in the system. From the results of the load ow analysis, the values of

    active power P and reactive power Q in the OWF in emergency operation mode are presented

    in Figure 12.

    Figure 12: Load ow in OWF during emergencies from the PowerFactory model.

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    The reactive power in the PowerFactory model is diering 0.235 MVAr or 3 % fromthe calculated values, (see Table 9). This might be an eect of some inductive reactive power

    reduction from TCs and a voltage level which isn't exactly 1.0 pu. The results, however

    validates the reactive load ow in the OWF during emergencies in a good way.

    Table 9: Load ow analysis in PowerFactory model and calculations.

    Load ow comparison of OWF in (emergency mode)

    Scenario P [MW] Q [MVAr]

    DiGSILENT PowerFactory 3.44 -8.09

    Calculations 3.44 -7.86

    8 Auxiliary power supply concepts

    In this section the possible APS-systems that theoretically can be of interest as an emergency

    power supply is discussed and reviewed. This include a fundamental technical evaluation in

    order to synthesise the most interesting concepts that will be studied deeper later on in the

    report.

    8.1 Diesel gen-set(s) used as APS-system

    A diesel gen-set is visualised in Figure 13 and consists of an engine, generator and a control

    system with including an Auto Voltage Regulator (AVR).

    Figure 13: A diesel gen-set consisting of a engine, synchronous generator and necessary control equip-

    ment as the governor of the engine and the AVR of the generator [17].

    .

    It is a common APS-system that is used as a backup in emergency cases. There are several

    possible diesel-gen-set conguration that are investigated, they are:

    Diesel gen-set on Oshore substation

    Diesel gen-set on WTs

    Diesel gen-set on mobile vessel

    These concepts uses dierent congurations which alter the rating of the equipment, depending

    on which conguration that is studied. The following section describe the concepts in detail.

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    8.1.1 Stationary diesel gen-set concepts

    Basic descriptions are introduced in this section and the most important advantages and

    disadvantages of the system designs are pointed out. There are two possible solutions for

    placing a stationary diesel gen-set in the OWF, the diesel gen-set is either placed on the

    oshore substation or at the bottom of the WT tower in at every turbine. The system designs

    are showed in Figure 14.

    (a) Diesel gen-set placed on oshore substation (Ma-

    nipulated picture) [7].

    (b) Diesel gen-set placed at bottom of all WT towers

    in the OWF (Manipulated picture) [7].

    Figure 14: THe stationary diesel gen-set concepts in the OWF.

    The dierence between the two stationary diesel gen-set concepts are:

    A diesel gen-set placed on a OS require reactive power compensation or a special

    designed generator which can operate under-excited and consume reactive power from

    the MV 33 kV TCs in the OWF.

    No magnetisation losses in the WT transformer with diesel gen-sets placed at WT towers,

    due to the fact that the gen-set is directly connected via a 660 V busbar to the WT

    loads.

    Limited place at the bottom of the WT tower to place a diesel gen-set. The area also

    require placing of a fuel tank which additonally reduces the available space.

    Simple design of diesel gen-set at WTs as they are small in size, standard equipment

    used in many applications today.

    The total power demand in the studied OWF during to be supplied of the dierent diesel

    gen-set concepts are shown in Table 10.

    Table 10: Power demand: Stationary diesel gen-set concepts used on AC OS or placed at WT towers.

    Power demand: Stationary diesel gen-set concepts

    Diesel gen-set scenario P [MW] Q [MVAr] |S| [MVA]Placed on AC OS 3.44 -8.09 9Placed at every WT tower 0.042 06 0.05

    6

    Peaks of 193 kVA present in 8 seconds interval which demands an overrating of the power supply.

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    8.1.2 Mobile diesel gen-set concept

    A mobile diesel gen-set consists of a standby marine vessel which in emergencies travels out

    to the OWF. The system design is similar to the stationary concept of having a diesel gen-set

    placed on a OS or at the WT towers, the only dierence is that the diesel gen-set are placed

    in the OWF when an emergency has happened. A stationary concept have the diesel gen-set

    placed at the OWF at all time. The procedure to do this are explained below [4, 18]:

    1. The marine vessel travels to the OS when an large emergency occur.

    2. When the marine vessel has reach the OWF it places a diesel gen-set on the OS or at

    the WT towers.

    3. The loads in the WTs are supplied, either from the diesel gen-set on the OS or at the

    WT towers.

    To fulll the TSO TenneT criteria and supply the WT loads in twelve hours, there are an

    uncertainty whether the marine vessel will have time to place diesel gen-set(s) at the OWF

    when an emergency occur. The vessel availability, diesel gen-set availability, travel time etc.

    impacts the time. In that case its possible that an additional short-term power supply are

    needed to stationary be placed at a OWF, to handle the WT load demand until the mobile

    vessel has installed the long-term diesel gen-set(s).

    The required diesel gen-set ratings of this APS-system are the same as for the stationary

    diesel gen-set concepts, see Table 10 in Section 8.1.1.

    8.2 Gas/diesel gen-set(s)

    A similar concept to the diesel gen-set placed on the AC OS is the usage of an gas/diesel gen-

    set with a piston engine. It works in the same way as the diesel gen-set (see Section 8.1.1), but

    can also run on gas and not only diesel. The advantage is that there could be less vibrations

    and less pollution of the environment [19]. The exhaust gases have reduced concentrations of

    nitrogen-oxides (NOx) and sulfur-oxides gases. A major disadvantage is that an additional

    fuel tank for gas is required in addition to the diesel tank.

    The load ow is the same as in the diesel gen-set placed on the AC OS with the genera-

    tor/reactive power compensation equipment handling the active and reactive power ow.

    8.3 Photovoltaic's (PV's)

    A sustainable energy resource that possibly could be used as a APS-system would be to utilize

    the energy from the sun by using PV's. The solar cells produces electric energy for free and

    support the WT loads with power. PV eciency depends on the PV module eciency, module,the packing factor of the modules (the fraction of absorber plate area covered by the solar

    cells) Pf and on the eciency of the converter system (power conditioner) that deliver a goodvoltage quality to load equipment pc. The resulting eciency of a PV module tot is foundfrom the relationship between these factors and is shown in Equation 7 [20, 21].

    tot = module pc Pf (7)

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    From [20] a specic site consisting of 329 m2 had a total tot = 8 % which are used as areference for a low total eciency of the the PV system in this study. To examine the power

    production, a study of the power production in W/m2 with dierent tot and weather condi-tions (sunny, partly cloudy and cloudy conditions) were examined. For simplifying reasons,

    the PV's are placed on a at area pointing directly vertical to the sky. Then the need of taking

    care of the tilt angle and the compass directions relative to the sun that otherwise will aect

    the power production were omited. The results of the examination are shown in Table 11.

    Table 11: Power production in W/m2 of a PV [20, 22].

    Power production in W/m2 of a PV with respect to tot

    Weather condition Sunny Partly cloudy Cloudy

    tot = 8 % 80 W/m240 W/m2 8 W/m2

    tot = 11 % 111 W/m256 W/m2 11 W/m2

    tot = 13 % 133 W/m267 W/m2 13 W/m2

    8.3.1 PV's on Platform

    The possibility to utilize some of the area on a OS roof to place PV's is investigated.

    Figure 15: PVs placed on the OS roof. The dimensions of the roof is assumed to be 40 m in length

    and 20 m in width. The total area AreaOffS = 800 m2(Manipulated picture) [7].

    There is assumed that half of a typical AC OS roof area is available for installing PV's

    AreaOffS = 400 m2, shown in Figure 15. Equipment like the Helipad, diesel gen-set, crane,

    fuel tanks, etc. require place and therefore much of the total roof area can't be utilized.

    The total power produced from the PVs placed on the OS is determined by Equation 8

    and the results are shown in Table 12 and Figure 16.

    PPVOffS = PPV AOffS (8)

    From the results it's visible that the PV's are not producing enough of power for supplying

    the WT load demand with only a small portion of the load demand supported. In addition

    the PV's won't produce any power at night-time which must come from another power source.

    This can for example be the (UPS)-system in the WTs which is assumed to have an energy

    supply for the WT loads in 12 hours.

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    Table 12: The total power POWFAPS with dierent tot of the PVs placed on OS with half of platformcovered with PVs.

    Power production of PV's

    tot Sunny Partly cloudy Cloudy

    8 % 32 kW 16 kW 3 kW

    11 % 44 kW 22 kW 4 kW

    13 % 53 kW 27 kW 5 kW

    Figure 16: The power production from PVs versus the WTG load demand in the OWF.

    8.3.2 PV's on WT nacelles

    This scenario is similar to the previous section with PVs on the OS, but here the roof of the

    WT nacelles is utilized for power production by PV's. The PVs have been assumed to occupy

    the roof of the WT nacelle with a width of 6 m and a length of 15 m. The total area of the

    roof of one WT nacelle is AWTnacelle = 90 m2[23]. The total area of all WT nacelles in the

    OWF that consists of 82 WTs is APVWTs = 90 m2 82 WTs = 7380 m2.

    Similar to the previous Section 8.3.1, the total power produced by the PV's PPVWTs isrelated to the total eciency of the PV system tot and the total area available for installingPVs, see Equation 9, the total power production is shown in Table 13 and Figure 17.

    PPVWTs = PPVAWTnacellenWTs (9)

    The power production of PV's placed on WT nacelles consists of a larger total area relative

    to placing the PV's on the OS (7380 m2 400 m2). This increases the maximum powerproduction from 53 kW to 492 kW, please see Figur 16 and Figure 17. The results shows

    that the power demand from the WTs isn't supported by only using PVs placed at the WT

    nacelles.

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    Table 13: The total power PPVWTGs with dierent tot of the PVs placed on the WT nacelles.

    Power production of PV's

    tot Sunny Partly cloudy Cloudy

    8 % 590 kW 295 kW 59 kW

    11 % 820 kW 410 kW 82 kW

    13 % 984 kW 492 kW 98 kW

    Figure 17: The power production from PVs on WT nacelles versus the WT load demand in the OWF.

    The load demand is lowered as the magnetisation losses in the WT transformers are avoided by the

    concept design.

    8.4 Batteries combined with PV's

    Another APS-system can be to use batteries in combination with PVs placed on the OS or

    at the WTs, then the WT loads might be supplied with enough power. The reference battery

    used in the study are assumed to be Lead Acid batteries which are used in the DolWin1

    OS project for supporting the internal load demand of the substation [24].

    A battery is built up by a number of cells that each have their own characteristics and

    they are combined one battery. Such batteries have the following characteristics, shown in

    Table 14 [24].

    The power required to be handled by the batteries are calculated with Equation 10 and

    the total required power are shown in Table 15.

    Ptot = PWTs PPV (10)

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    Table 14: Characteristics of OS battery for auxiliary power supply needs [24].

    (a) Cell characteristics

    Battery cell

    Height 0.824 m

    Length 0.225 m

    Width 0.580 m

    Area 0.130 m2

    Volume 0.108 m3

    (b) Battery characteristics

    Battery

    Cell voltage 2.00 V

    Battery voltage 110 V

    Number of cells 53 cells

    Area of battery 6.917 m2

    Volume of battery 5.700 m3

    where Ptot is the resulting required power supply from the PV/battery system, PWTs is theload demand of the WTGs and PPV is the produced power by the PVs.

    Table 15: Maximal Power demand with minimal PV production (tot = 8%, Cloudy)

    Battery power requirement

    Concept Ptot [kW]

    Placed in OS 3441

    Placed in WT nacelles 2237

    The batteries must both support the WT loads on the day when the PVs lack the ability

    to produced enough power and recharge the UPS-system with batteries placed in the WT that

    is supplying the OWF during night-time. The total energy demand of one day with batteries

    is calculated with Equation 11.

    WDemandOWF = WBatteryDAY +WBatteryNIGHT = Ptottday + PWTstnight (11)

    The length of the day is changing on yearly basis depending on the geographical location

    where the site is placed the total energy demand will dier. A OWF placed in the North Sea

    will set the energy requirement by batteries from the darkest time of the year, the winter,

    with the assumption that tday = 4 hours and tnight = 20 hours.

    The energy demand in [Ah] required for the batteries of one day of supply is calculated

    with Equation 12 and presented in Table 16.

    WBattery =WDemandOWFUBusbar(12)

    where WBattery is the required battery capacity in [Ah] and UBusbar is the voltage on thebusbar the batteries are connected to.

    It is clear that there are no possibility to use Lead-Acid batteries as a APS-system together

    with PV's as the energy storage capability of the batteries are far to low. By using other

    battery types that are more eective and can contain more energy than Lead Acid the

    scenario may change, see Table 17.

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    Table 16: Required capacity in [kWh], [kAh] and numbers of batteries needed to fulll the required

    energy demand for the specied APS-system with PV's and batteries on OS or at WT nacelles.

    Concept [kWh] [kAh] Batteries [Nr] Volume [m3] Weight [ton]

    Placed in OS 82644 751 216 1231 48

    Placed in WT nacelles 54868 499 144 821 32

    Table 17: Dierent battery types (lead acid, NiCd, NiMH and Liion) characteristics. The voltage

    / cell, the specic energy content and required maintenance can be viewed [11].

    Battery characteristics

    Parameters LeadAcid NiCd NiMH Liion

    Cell voltage [V] 2 1.2 1.2 3.2 3.6

    Specic energy [Wh/kg] 30 50 48 80 60 120 90 190

    Maintenance requirement 3 6 months 30 60 days 60 90 days N/A

    8.5 Wave Power

    There is a possibility to use a wave power farm as a APS-system and therefore it is examined

    here in a technical review of a point absorber wave power pland (WPP) concept created by

    the Swedish manufacturer Seabased with roots from research at the University of Uppsala [25].

    The power of the ocean waves is seem in Equation 13 [26, 27] and the potential of wave power

    in the world are pointed out in Figure 18.

    Pwave = 0.5H2sTp (13)

    where Pwave is the power in the wave, Hs is the signicant wave height and Tp is the periodtime of the wave.

    Figure 18: The annual mean direction of the waves are shown with () and the area where wavepower plant can be placed are visualized by the thick lines around the continents [28].

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    The concept is seen in Figure 19 and includes a buoy connected by a rope to a linear

    generator placed at the bottom of the sea. When the buoy moves up and down the translator

    connected to the rope that binds the buoy together with the generator are moving. The end

    stop consists of springs that are attached to the translator. The springs store energy during

    half a wave cycle and simultaneously act as a restoring force in the wave troughs [25]. The

    movement of the translator inside the stator give rise to a generation of electricity and a

    power output from the WPP. The company is today constructing units with nominal power

    of 10-50 kW [29] which are designed to handle depths ranging from 20-100 m [26].

    (a) A sketch of the point absorber WPP

    concept Seabased [30].

    (b) [A schematic picture of a wave power farm (WPF) where

    the generator structure are visible standing on the seabed, the

    TCs that transfer the power to an central hub/converter sta-

    tion and the wires with connected buoys at the surface of the

    sea [31].

    Figure 19: The Seabased concept with substructure.

    The wave climate outside of the Danish coast in the North Sea, were OWFs often are

    constructed is presented in (kW/m) of signicant wave height Hs in Table 18 [27, 32]. Thewave climate at the Swedish west coast is also included in order to understand the potential

    for dierent locations.

    Table 18: Average wave climate at the Baltic and Nordic Sea in kW/m with respect to the signicant

    wave height [27, 32].

    Location Wave climate [kW/m]

    North Sea 9.8

    Skagerrak 5.2

    Kattegatt 2.4

    Apart from the wave climate the utility factor of the WPPs is an important economic

    factor to take account for. Dierent utility factors will aect the amount of WPPs needed

    for supporting the WT loads. Therefore the calculations in this report has taken this into

    consideration and the results are seen in Table 19 with initial data is taken from [27].

    A large amount of WPPs of approximately 300-800 WPPs are needed to handle the WT

    loads. This is a large quantity that require an extensive installation and maintenance proce-

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    WPP rated power [kW] 10 20 30 40 50

    Utility factor [%] 0.44 0.32 0.25 0.2 0.18

    (a) Power rating of WPP with corresponding utility factors.

    WPP rated power [kW] 10 20 30 40 50

    Required number of WPPs 783 539 460 431 383

    (b) Number of WPPs required for WT load demand.

    Table 19: Wave power calculations.

    dure. In addition, the technology is not commercial yet and will therefore not be sutible as

    an APS-system today for the studied OWF. There is a possibility that this may change in the

    future as larger WPPs is created which can utilize the power in the waves more ecient.

    8.6 Full converter wind turbines & diesel gen-set

    A future APS-concept that may be of interest could be to utilize the wind turbines in the

    OWF by restart some of the wind turbines in the OWF with a few small diesel gen-sets placed

    at a handful number of WTs [33]. These diesel gen-sets energise the WTGs (full converter

    wind turbines) after a grid blackout if needed and in that way restart the WTs to normal

    operation mode where they are producing power from the wind.

    The full converter WT is probably a suitable type to use in this application as it can

    control the voltage at the stator and by the converter control, the frequency on the stator.

    Thereby, the speed of the rotor can be used in a wide area so that the wind turbine always

    rotates with optimal speed in order to produce the highest possible power [34]. The converter

    closest to the grid can fast change the active/reactive power transferred from the WT to

    the system which can contribute to maintaining stability. When an emergency occur and a

    system fault is present the WT have inertial energy preserved from normal operation which

    may help restarting the system in emergency mode (diesel gen-set's available with extra power

    if needed) when its operating as an APS-system [35]. Figure 20 show a schematic picture of

    a full converter WT.

    Figure 20: A full converter wind turbine [34].

    This APS-system concept is nevertheless without implications and problems and is not

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  • J. Berggren Master thesis, Spring 2013

    investigated today. The power and frequency stability of the system is to be carefully con-

    sidered because of the weak grid, issues with black start, fault management etc. needs to be

    solved. The concept is further discussed in Section 14.

    9 Summary of APS-system studies

    The number of APS-system supplies that have been studied earlier in the text are summarized

    here in order to focus the remaining part of the study to the most feasible concept(s). A

    summary of each APS-concept studied is described in the list that follows. The Diesel gen-

    set(s), Gas gen-set(s), Photo voltaic's (PV's), Batteries combined with PV's and nally full

    converter WT's & diesel gen-set's is reviewed.

    9.1 Diesel gen-set

    The dierent concepts of placing diesel gen-set(s) on oshore substation, at WT towers and

    mobile diesel gen-set on marine vessel are summarised here with the dierent advantages and

    disadvantages.

    9.1.1 On oshore substation

    The diesel gen-set solution placed on the OS includes a possible concept with a motor rated

    approximately 3.5 MW and a generator that can handle the active and reactive load ow in

    the system during emergencies.

    Stationary solution which are able to be placed on the OS roof.

    Reactive power production in the system must be handled by either generator or reactive

    power compensation equipment.

    Limited fuel capabilities.

    O & M in continuous intervals as the gen-set under long-term standstill needs to be

    maintained.

    9.1.2 at WT towers

    The diesel gen-set solution that is placed at WT towers have the required rating of approxi-

    mately 50 kW and supports the WT load demand. There is no reactive power present as the

    diesel gen-set is directly connected via a 660 V busbar to the WT loads.

    Stationary solution which are placed at every WT.

    No reactive power in the system (no TCs).

    No magnetisation losses in WT transformers as the power supply is directly connected

    via a busbar and with circuit breakers to the WT loads. The magnetisation losses in

    the WT transformer are 14 kW which in this case have lowered the total load demand

    to 28 kW.

    34(75)

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    The limitation of available space reduces the possibility to use the concept as a APS-

    system, however, the exact available space is set by the WT manufacturer. By [4] this

    concept is used today for 5-10 kW loads in times when the erection of the WTs are

    taking place.

    9.1.3 Mobile diesel gen-set on marine vessel

    The diesel gen-set solution placed on a mobile vessel that travels out to the oshore wind

    farm in case of an emergency could be benecial if a standby crew with a vessel for example

    is stationed near the oshore wind farm today. The concept however has some other aspects

    which are important to mention.

    The fuel tank may be of great size depending on the available space on the marine vessel

    Not the same limitations in diesel mobile diesel gen-set as a large piece can be placed on

    the marine vessel. Then the reactive power in the TCs is less of an issue for the system

    design.

    An mobile diesel gen-set on a marine vessel could be advantageous when the reactive

    power is compensated by the gen-set instead of shunt reactors as no space on platform

    and less maintenance is required.

    The solutions feasibility additionally depends on the distance from shore the wind farm

    is placed.

    9.2 Gas/diesel gen-set

    gas/diesel gen-set placed on a AC OS as a APS-system has almost the same conguration

    as a diesel gen-set alone, see Section 9.1.3. The gas gen-set major disadvantage compared

    to a diesel gen-set is related to the gas fuel. A gas/diesel gen-set require an gas fuel tank in

    addition to the existing diesel tank(s) and this demand valuable space on the OS [19]. There

    are also some logistical problems when handling gas which are not fully developed for oshore

    substations today.

    A gas engine is more ecient and produces less vibrations than a diesel engine.

    Lower emissions of nitrogen-oxides (NOx) and sulfur-oxides from gas have an positive

    environmental impact.

    A gas turbine can be used instead of a gas engine. The turbine will have a quicker

    starting sequence and a reliable operation but with the disadvantage of lower eciency

    (this is however not investigated in this study).

    A gas gen-set needs additional equipment compared to a diesel gen-set as extra gas tanks

    in addition to diesel tanks and more regulation equipment.

    The storage of the explosive gas are today not fully developed and therefore have some

    logistical diculties [19].

    The economy of a gas/diesel gen-set may be dierent compared to a diesel gen-set

    as additional fuel capabilities and logistical cost of handling gas has to be taken into

    consideration.

    35(75)

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    9.3 Photovoltaic's (PV's)

    From the basic feasibility study the use of PV's on part of a AC OS roof or placed on WT

    nacelle roof aren't enough to support the WT loads during emergencies. The oscillations in

    power productions due to weather conditions and dierent ecencies tot of the PV systemswill make it an unreliable power supply, it is therefore not recommended that a PV system is

    used stand-alone as a APS-system.

    9.3.1 On OS roof

    The PV's placed on half of the studied AC OS isn't producing by far enough power and is

    only powering approximately one WT with its loads in cloudy weather and minimal tot.

    Not enough power production when PV's are placed on OS (32-53 kW to the load

    demand of 3444 kW).

    Reactive power compensation equipment is needed to handle the capacitance in TCs.

    No power supply during night-time when navigation lights are essential for the security

    of the OWF.

    9.3.2 On WT nacelle roof

    A larger total area compared to the available AC OS area increases the power production

    relative to the other PV concept. This, however isn't enough for supplying all WT loads.

    Not enough power production when PV's are placed on OS (295-492 kW comparedto

    the load demand of 2296 kW).

    No need of reactive power compensation equipment as the PVs fed the WT loads directly

    with power via the 660 V (or similar voltage level) busbar.

    No power supply during night-time when navigation lights are essential for the security

    of the OWF.

    9.4 Batteries combined with PV's

    The concept of placing batteries in combination with PV's on the AC OS showed to be

    impossible with the use of Lead-Acid batteries. The requirement of 216 batteries with a total

    volume and weight of approximately 1230 m3 respectively 48 ton are nether possible noradvantageous. The case when batteries were placed in WT nacelles was a better solution with

    less requirements of 144 batteries,a volume of 821 m2 and a weight of 32 ton. This is still nota realistic scenario to investigate as the WT nacelles would require 2 batteries/WT whichnot is likely to t in the nacelle or at the WT tower structure. The use of more advanced

    and suitable batteries may reduce the total numbers of batteries needed, but will not enable

    batteries used with PV's as APS-system.

    To low energy storage capability in batteries.

    Not technical possible to create on AC OS as the batteries are not tted to the limited

    AC OS area, the total weight is very high and the system is ineective.

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    In cases when the load demand is very small (a couple of kWs) the system may be

    theoretical possible, however the need of reactive power compensation equipment will

    be present as well as the need of recharging the batteries after 24 hours when theyare discharged.

    9.5 Full converter wind turbines & diesel gen-set

    The concept isn't investigated any deeper in this work and its therefore hard to draw any

    conclusions. The system is not operated today and needs research before it can be commented.

    The concept is still discussed in Section 14 but any deeper investigations are leaved to others

    to perform.

    9.6 Chosen APS-system for further investigation

    To simplify the review of the dierent APS-system concepts, a short summary of each concept

    is seen in Table 20 where the most feasible concept was selected with respect to the technical

    possibility of constructing the APS-system together with the weighted feasibility (expected

    economical costs of installation and operation, O & M requirements, logistical aspects, etc.).

    Table 20: An overview of the investigated APSsystems that have been studied. They are all ranked

    in order to visualise the most feasible concept.

    Summary of APS systems

    Concept Technical possible Feasible Rating

    7

    Stationary diesel gen-set on OS Yes Yes

    8

    1

    Stationary diesel gen-sets at WT towers Yes Yes

    9

    2

    Stationary gas/diesel gen-set on OS Yes Yes

    10

    3

    Mobile diesel gen-set on marine vessel Yes Yes

    11

    4

    Wave power farm No No 5

    PVs combined with batteries No No 6

    PVs on WT nacelles No No 7

    PVs on OS No No 8

    Batteries No No 9

    This showed to be the diesel gen-set placed on the OS when all the aspects were evaluated,

    however the result of the ranking depends on the actual site where the OWF is placed. The

    summary should therefore be treated as a guideline. A deeper analyse of the the diesel gen-set

    placed on the OS concept is followed in coming sections.

    7

    Weighted feasibility (expected economical costs & technical functionality.

    8

    Reliable energy source, relatively ecient, manageable construction, limited space requirement etc.

    9

    Requirement of a low WT load demand to be feasible ( 5-10 kW) [4].10

    Logistical problems with fuel and reduced platform area (gas tank + diesel tank) [19].

    11

    Can be feasible, needs deeper review of economical costs.

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    10 Sizing of diesel gen-set: Calculations

    The diesel gen-set sizing procedure is described here and the validated power ow calculated

    in Section 7.2 is used as a reference to nd the right dimensions and rating of a diesel gen-set

    placed on an OS. The size of the Diesel gen-set system depends on both steady-state load

    demand and transient eects studied later on in Section 12 [36].

    Steady state requirements when energising the OWF in APS-system mode.

    Steady state requirements when the APS-system is in operation in the OWF.

    Transients (voltage drops/peaks, frequency oscillations) when energising the OWF in

    APS-system mode.

    Transients as (inrush currents) in equipment when switching in WT transformers after

    the OWF is energised and in APS-system mode.

    10.1 Sizing of diesel gen-set without wind turbine UPS-system utilised

    The diesel gen - set placed on the AC OS needs to handle the power ow transferred through

    the system which are: P = 3.44 MW and Q = -8.09 MVAr, see Section 7.2. The sign before the

    powers refer to the WT loads which require active power (+), and TCs that produce reactive

    power Q (-). The calculated apparent power |S| is shown to be the 8.80 MVA.

    The diesel gen-set rating must answer to the apparent power demand, however this require

    a special diesel gen-set solution with the ability to work well in under-excited mode (see

    Appendix A.2.1). The generator is producing active power P and consuming reactive power

    Q with respect to the power ow.

    10.1.1 Rating of standard generator

    Standard diesel gen-sets are not created to work in this area as most power systems require

    a production of reactive power, but as the emergency layout of the OWF symbolises a "weak

    grid" with reactive power production in TCs and no major reactive power consumption, the

    generator instead needs to produce active power and consume reactive power. To handle the

    reactive power, the standard diesel gen-set needs to be overrated. Manufacturers visualises

    the generators ability to work in under/over-excited mode by capability curves.

    The synchronous generators have a magnetic end core heating limit that for standard diesel

    gen-sets are a limit of the possibility to operate under-excited, see Appendix A.2.1 for more

    information regarding the issue.

    By creating a linear function that starts in the origin (y = kx + m = kx (m = 0)) that

    takes the ratio between the reactive and apparent power (Q/S) into account, a crossing point

    where the linear function intersects with a capability curve stability limit is found. This is

    the point where the magnetic end core heating limit is intersecting the linear function in a

    capability curve. This point will be the optimal limit of active vs. reactive power in p.u that

    the generator must handle. The reactive power will at this point be compensated and the

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    Figure 21: A capability curve of a synchronous generator with a rated power of 2.2 MVA considered to

    be representable for larger generator's by Leroy-Somer [37]. Operation inside the area of the capability

    curve is required to avoid damages. Note that the red and blue lines in the diagram is specied by the

    manufacturer.

    Figure 22: The determination of a linear function.

    generator will produce enough amount of active power that is required. Figure 22 shows the

    procedure to nd the linear function.

    Two dierent capability curves are used (ABB 17.9 MVA and Leroy-Somer 2.2 MVA)

    where the adapted linear functions are shown in Figure 23.

    The rating of the diesel gen-set supporting the OWF can now be calculated with Equa-

    tion 14 and Equation 15.

    QRated = QSystem = 8.09 MVAr (14)

    SRated =QRatedQ/S(15)

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    (a) The capability curve of an ABB syn-

    chronous generator where the linear function

    is intersecting the stability limit of the capa-

    bility curve [38]. From the intersection point,

    P/S=0.18 pu and Q/S=-0.42 pu.

    (b) The capability curve of an Leroy-Somer

    synchronous generator where the linear func-

    tion is intersecting the stability limit of the

    capability curve [37]. P/S=0.19 pu Q/S =0.43 pu at the intersection.

    Figure 23: The determination of generator ratings by the help of capability curves.

    Sizing of generator

    Part PRated QRated |S|Rated (Leroy-Somer) |S|Rated (ABB)Wind farm 3.44 MW -8.09 MVAr 19.26 MVA 18.81 MVA

    Table 21: The sizing of a diesel gen-set on a OS with a standard generator (overrated).

    Figure 24: The sizing of a diesel gen-set on a OS with a standard synchronous generator that needs

    to be overrated to handle the reactive power demand.

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    10.1.2 Rating of special generator

    If a special designed gen-set is used the rating of the gen-set supplying the whole OWF can

    be downsized. The gen-set is constructed to work in under-excited mode and the system isn't

    needed to be overrated [39]. The system design have been validated by ABB - Helsinki and is

    shown in Table 22.

    Table 22: Special generator : Diesel gen-set rating without overrating.

    Active Power P Reactive Power Q Apparent Power |S|3.44 MW - 8.09 MVAr 8.8 MVA

    Figure 25: The special diesel gen-set capability curve which shows the generators ability to operate

    under-excited. You can see the slightly coloured area where the generator can operate [39].

    The magnetic end core heating eects are not an issue here, the limit is outside the ca-

    pability curve in Figure 25 and will not limit the the generator operation. This is an eect

    of increased air-gap between stator and rotor (25 mm-35 mm) [39]. It usually decreases the

    magnetic ux in the stator (and reduce eciency), however in this case the magnetisation

    instead is coming from the stator side of the generator. It should be clear that the generator

    can't consume the required Q=-8.09 MVAr if P=3.44 MW isn't produced.

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    10.2 Sizing of diesel gen-set with wind turbine UPS-system utilised

    The REpower 6M WTs have (UPS)-systems consists of batteries with an energy storage of

    12 horus, see Section 4.1.2. These systems can possibly be utilized together with the diesel gen-

    set(s) placed on the AC OS to limit the operational time, decrease the size of the generator

    and possibly reduced fuel use, as the gen-set is less frequently in operation. By altering some

    of the WT loads to be supplied from diesel gen-set or batteries it could be possible to use

    special sequential power production schemes,see Figure 26.

    (a) Diesel gen set sizing: 1/2 OWF in sequence (b) Diesel gen set sizing: 1/3 OWF in sequence

    (c) Diesel gen set sizing: 1/4 OWF in sequence (d) Diesel gen set sizing: 1/5 OWF in sequence

    Figure 26: Diesel gen set loading scheme of energising the studied OWF in sequence.

    The calculation of the active power rating for the corresponding diesel gen-set sizes for all

    scenarios are done from Equation 16, Equation 17, Equation 18 and Equation 19.

    WLoad.GenSet = PWT.load (nWTs Seq) tSequence (16)Where WLoad.GenSet is the energy needed for the gen-set, PWT.load is the WT load demand,nWTs is the number of WTs, Seq is the sequence scenario used (i.e. 1/2) and tSequence isthe operational time for the gen-set when it is in sequence until the batteries are recharge

    (recharge time depend on which sequence that is used).

    WSupply.UPSbattery = PWT.load (nWTs Seq) tDischarge (17)

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    WSupply.UPSbattery is the energy stored in the batteries in WTG UPS system and tDischargeis the discharge time for batteries. See Equation 16 for the other parameters.

    Wtot = WLoad.GenSet +WSupply.UPSbattery (18)

    where Wtot is the total energy needed for the diesel gen set to supply.

    PGenset =WtottCharge(19)

    where PGenset is the active power required rating of the diesel gen-set and tCharge is the timefor all UPS batteries in the OWF to be recharged.

    Figure 27 shows the active power required to be handled by the generator in sequential

    operation schemes. The results showed that the sizing in all case have a total active power

    demand of P=3.44 MW and is not depending on the sequential operation (symbolised by the C-

    rate of batteries (Section 4.1.2)).The dierent C-rates depending on the Sequence operational

    procedure demands dierent recharge times of the batteries, see Table 23.

    Figure 27: Sequential operation of diesel gen-set vs. required C-rate of batteries.

    The reactive power demand is reduced depending on the sequence used when energising

    the WT loads. The smaller sequence, the lower the reactive power demand, fewer TCs in the

    OWF simply doesn't have to be operation at the same time. The disadvantage is that the

    UPS normally doesn't operate in on/o mode. The deep discharge of the batteries may reduce

    the total number of operating cycles and the lifespan of the batteries are shorten.

    The best concept is the sequence where 1/2 of the OWF supported by WT UPS-system

    batteries and 1/2 OWF on diesel gen-set savings on the fuel is done, the reactive power in

    the system is reduced from -8.09 MVAr -4.045 MVAr and the C-rate of the batteries aren'taected. In that way the batteries will be recharge on 12 hours.

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    Table 23: Diesel gen-set size with UPS-system batteries utilized in the OWF.

    10.2.1 Rating of standard generator

    The rating of the generator calculated by data from Table 23, with the same overrating

    generator procedure used as in Section 10.1.2, calculated from the two dierent capability

    curves, are given in Figure 28.

    Figure 28: Standard generator size with UPS-system batteries utilized in the OWF.

    Apparent power |S|Sequence ABB [MVA] Leroy-Somer [MVA] Average size [MVA]

    Whole wind farm 19.27 18.82 19.04

    1/2 wind farm 11.56 9.63 10.60

    1/3 wind farm 8.70 6.58 7.64

    1/4 wind farm 7.49 5.06 6.28

    1/5 wind farm 6.47 4.15 5.31

    Table 24: Standard generator sizing: UPS-system batteries in combination with diesel gen-set.

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    10.2.2 Rating of special generator

    The ratings of the generator depending on the sequence loading scheme is calculated by using

    data from Table 23. No overrating is required as the special generator [40] works well in

    under-excited generator mode, shown in Figure 29.

    Figure 29: Special generator sizing.

    Apparent power |S|Sequence Size [MVA] [MVA]Whole wind farm 8.79 8.8

    1/2 wind farm 5.31 5.3

    1/3 wind farm 4.37 4.4

    1/4 wind farm 3.99 4.0

    1/5 wind farm 3.80 3.8

    Table 25: Special generator sizing: UPS-system batteries in combination with diesel gen-set.

    The rating of the generator is down-scaled with a smaller part of the OWF in sequential

    loading. This is the eect from the less reactive power in the system (i.e. it is assumed that

    a sequence loading of (1/2 wind farm) is operated with (1/2 of the TCs in the wind farm).

    10.3 Reactive power compensation equipment

    To decrease the reactive power ow produced by the TCs, a reactive power compensation unit

    in form of shunt reactors can be used. A shunt reactor is a piece of equipment that basically

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  • J. Berggren Master thesis, Spring 2013

    is an inductor that can consume reactive power built up by HV TCs [41]. The shunt reactor

    sizing is adapted so that the generator doesn't need to be overrated.

    A shunt reactor can be rated dierently depending on which standard generator rating

    that is used. To optimise the shunt reactor size vs. the standard generator size, dierent

    generator rating and corresponding shunt reactor sizing are investigated. From a capability

    curve by the manufacturer Leroy-Somer 2.2 MVA [37] shown in Figure 30. It is visible in

    the gure that the maximum capability for the generator to work under-excited is relatively

    constant (Q/S) = const. Therefore Qmax 0.40 Sgenerator. The shunt reactor sizing thenonly depends on the overrating of the generator.

    Figure 30: Dierent generator ratings in under-excited mode (consuming Q), depending on chosen

    (P/S) in pu from the Leroy-Somer capability curve and Qmax/Sgenerator = 0.40. The curve is usedas a reference for other diesel gen-set standard generators [37].

    The ratings of the generator is determined by Equation 20, Equation 21 and the shunt

    reactor by Equation 22. In Table 26, the generator and shunt reactor size is shown.

    |S|Generator = PgeneratorPF

    =Pgeneratorcos

    =PgeneratorP/S(20)

    where PGenerator = 3.44 MW

    QGenerator =QmaxSmax

    SGenerator = 0.40SGenerator (21)

    QShuntreactor = |QOS | |QGenerator| (22)where QOS = 8.09 MVAr

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    Table 26: Generator & shunt reactor rating with respect to dierent (P/S)'s in pu.

    (P/S) pu. 0.9 0.6 0.3

    SGenerator 3.8 MVA 5.7 MVA 11.5 MVAQGenerator 1.5 MVAr 2.3 MVAr 4.6 MVAr

    QShuntreactor 6.6 MVAr 5.8 MVAr 3.5 MVAr

    Table 27: Overrated (10 %) generator and corresponding shunt reactor with respect to dierent (P/S)'s.

    (P/S) pu. 0.9 0.6 0.3

    SGenerator 4.2 MVA 6.3 MVA 12.6 MVAQGenerator 1.7 MVAr 2.5 MVAr 5.0 MVAr

    QShuntreactor 6.4 MVAr 5.6 MVAr 3.0 MVAr

    To handle the peak demand of 193 kVA of WT loads that occur during 8 seconds interval

    the generator rating is a bit overrated (10 %) which also would decrease the required shunt

    reactor rating, see Table 27.

    The results show that with a Qmax = 0.4 SGenerator the shunt reactor size only dependson the generator rating. A higher ratio in this study is P/S=0.9 that will overrate the generator

    but in return the shunt reactor size is minimised and vice versa. Depending on the user

    requirements either system could be benecial, the question is whether the user want to

    reduce shunt reactor size or generator size. it's suitable to have multiple shunt reactors with a

    total reactive power which answers to the dierent generator ratings or a tap-changing shunt

    reactor that can vary its reactive power consumption as all TCs and WT loads may not be

    energised instantaneously [41].

    11 Slow start of OWF with diesel gen-set

    The starting scheme of an APS-system with a diesel gen-set where the WT loads are energised

    in sequence is described in this section [40, 42, 43, 44]. The concept is explained and an

    overview of the system can be seen in Figure 31.

    1. The engine rst power up and increase its torque on the shaft that combines the diesel

    engine with the generator.

    2. As the rotational speed of the shaft is increased, the torque produced by the engine

    increases the generator rotor speed.

    3. There will be a point where the rotor windings in the generator can be excited. An Auto

    Voltage Regulator (AVR)

    12

    is enabled at this point (control equipment) and a magnetic

    ux is generated and transferred through the air-gap.

    12

    See Appendix C for more information about diesel gen-set control system

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    4. The rotating magnetic ux in the stator (rotor is moving) give rise to a voltage which

    increases as the excitation of the rotor windings is increased. When the voltage has

    reached Unom the generator circuit breaker is closed.

    5. Each string

    13

    of WTs in the system checks the auxiliary power themselves to connect to

    the power supply with delay times between each new string that is energised until the

    whole OWF is in operation.

    (a) Part of the loads (WT transformers, TCs, WT loads are connected in sequence

    when the diesel engine is in cold mode.

    (b) The residual loads in the system are connected and energised when the diesel engine

    is heated up and operates at full eciency in warm mode. When the diesel engine

    is at full capacity all remaining loads in the OS are energised.

    UVoltage

    over Generator

    The rotor windings are

    excited (80 90 % of

    rated speed of diesel engine)

    Urated = 100 %, fel = 50 Hz Generator synchronised to the grid

    5 - 10 seconds

    Generator breaker are closed now: Switchgear ON

    Diesel engine mode: Cold Diesel engine mode: Warm

    Base load of diesel gen set system: Switchgear, Breakers,

    Control equipment etc.

    Srated = 0.6 pu

    Srated = 1.1 pu

    hour 1 hour

    Continency mode

    Srated = 1 pu

    Frequency oscillations fel and dynamical transient control when OWF loads are energised

    fel

    Energising of OWF loads: OffS Transformer for diesel gen-set Transmission cables in OWF Wind turbine transformers Wind turbine loads

    Wh

    ole O

    WF en

    ergised

    Figure 31: Sequential starting procedure for WTs in OWF [18, 42, 43, 44, 40, 45].

    12 Transient studies

    There are dierent transients that occur in the OWF when it is in APS-system mode and in

    island operation. The stability of the power system is aected by these transients when the

    APS-system is energised and the need of studying these issues are required.

    Voltage transients as a result of the diesel control system together with wind farm

    resonances.

    13

    By [18] it's possible to energise string by string of WT loads in the OWF.

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    Inrush currents in WT transformers and other equipment when they are energised from

    system blackouts. This is the case when the APS-system of the OWF are starting up.

    The voltage transients in the system occur due to the harmonic content in the circuit of

    the OS and is a result of a MV circuit consisting primarily of the 33 kV TCs in the OWF that

    builds up capacitance. The capacitance can create resonance loops in the MV circuit which

    are transferred to the LV circuit and the generator may be forced out of synchronisation [36].

    Inrush currents in transformers and in other equipment is a well known problem in power

    systems and specially when a weak grid is started up and energised. This is the case with the

    APS - system energising the OWF. Therefore the phenomena is important factor that has to

    be considered when designing a APS-system. The transient phenomena is not modelled and

    validated in this study but previous work regarding the topic have been done [36, 46, 47]. In

    [46] it was shown that the worst inrush current occurred when the last WT transformer the

    farthest away from the OS was energised. The inrush current is causing the following eects

    on the OWF when energising in APS-system mode:

    High currents (9 Inom of REpower 6M WT transformers can occur) [4] that can damagethe transformers.

    The diesel gen-set may trip because of the fact that the currents aren't linear with

    respect to time and contains many harmonics which creates oscillating torques for the

    diesel gen-set to handle [36]. The generator therefore might fall out of synchronisation

    when the dynamical transients rise as protection devices disconnect the equipment. As

    a result


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