Power System Stability Enhancement by Using Static Synchronous Series Compensator

POWER SYSTEM STABILITY ENHANCEMENT BY USING SSSC DEPT OF EEE

GKCE, SULLURUPETA Page 1

Chapter 1

INTRODUCTION



1. INTRODUCTION

Nowadays, the need for flexible and fast power flow control in the

transmission system is anticipated to increase in the future in view of utility deregulation

and power wheeling requirement. The utilities need to operate their power transmission

system much more effectively, increasing their utilization degree. Reducing the effective

reactance of lines by series compensation is a direct approach to increase transmission

capability. However, power transfer capability of long transmission lines is limited by

stability considerations. Because of the power electronic switching capabilities in terms

of control and high speed, more advantages have been done in FACTS devices areas and

presence of these devices in transient stability during transient faults resulting in

improvement in power system stability. This paper investigates the static synchronous

series compensator (SSSC) FACTS controller performance in terms of stability

improvements.

A Static Synchronous Series Compensator (SSSC) is a member of FACTS

family which is connected in series with a power system. It consists of a solid state

voltage source converter (VSC) which generates a controllable alternating current voltage

at fundamental frequency. When the injected voltage is kept in quadrature with the line

current, it can emulate as inductive or capacitive reactance so as to influence the power

flow through the transmission line. While the primary purpose of a SSSC is to control

power flow in steady state, it can also improve transient stability of a power system.



CHAPTER 2

FACTS



2. FACTS

2.1 Introduction

With the history of more than three decades and widespread research and development,

FACTS controllers are now considered a proven and mature technology. The operational

flexibility and controllability that FACTS has to offer will be one of the most important

tools for the system operator in the changing utility environment. In view of the various

power system limits, FACTS provides the most reliable and efficient solution. The high

initial cost has been the barrier to its deployment, which highlight the need to device

proper tools and methods for quantifying the benefits that can be derived from use of

FACTS.

Why power flow control is important

For economic reasons most if not all of the worlds electric power supply are widely

Interconnected, involving interconnections Inside utilities own territories which extend

To inter-utility interconnections and then t o Inter - regional’s .We need these

interconnections because apart From delivery, the purpose of the transmission Network is

t o pool power plants and load Centers, in order to minimize the number of Power

generation sources needed, taking Advantage of diversity of loads, availability Of sources

and fuel in order to supply the Load a t a required reliability . If we just had radial lines,

we would need many more Generation resources to serve the load with the same

reliability. If you look a tit that Way, transmission is an alternative to a new Generation

resource. Less transmission Capability means that more generation Resources would be

required regardless of whether we have large or small power plants. Often as power

transfers grow, the power system becomes increasingly more complex to operate and the

system can become more insecure with large power flows with inadequate control and

inability to utilize the full potential of transmission interconnections.

FACTS – What and why?

FACTS are the acronym for Flexible AC Transmission Systems and refer to a group of

resources used to overcome certain limitations in the static and dynamic transmission



capacity of electrical networks.The IEEE defines FACTS as “alternating current

transmission systems incorporating power-electronics based and other static controllers to

enhance controllability and power transfer capability. The main purpose of these systems

is to supply the network as quickly as possible with inductive or capacitive reactive

power that is adapted to its particular requirements, while also improving transmission

quality and the efficiency of the power transmission System”.

FACTS for supplying power –Now and in the future

The inevitable globalization and liberalization of energy markets associated with

growing deregulation and privatization are increasingly resulting in bottlenecks,

uncontrolled load flows, instabilities, and even power transmission failures. Power

supplies are increasingly dependent on distributed power plants with higher voltage

levels, and transport to large load centers over what are often long distances. This type of

power transmission must be implemented safely and cost effectively

With a view to the future. Implementing new transmission systems and

components is a long-term strategy for meeting these challenges. Over the short and

medium term, modern transmission technologies can be employed at comparatively little

expense to rectify or minimize bottlenecks and substantially improve the quality of

supply. Often, this makes it possible to postpone investing in new plants and, as a result,

to achieve critical advantages over the competition – especially important in de-regulated

energy markets in which power supply companies are subject to extreme conditions.

FACTS provide

1. Fast voltage regulation

2. Increased power transfer over long AC lines

3. Damping of active power oscillations

4. Load flow control in power system

5. Balance reactive power



This means that with FACTS, power companies will be able to better utilize their existing

transmission networks, substantially increase the availability and reliability of their line

networks, and improve both dynamic and transient network stability while ensuring a

better quality of supply.

2.2 FACTS BASIC TERMS AND DEFINITION:-

The definitions presented in the following are divided into basic definitions and

Definitions of Controllers that serve specific function(s). The given categorization is the

Result of extensive discussions and compromises.

Basic Definitions:-

1. Flexibility of Electric Power Transmission:-

The ability to accommodate changes in the electric transmission system or operating

Conditions while maintaining sufficient steady state and transient margins.

2. Flexible AC Transmission System:-

Alternating current transmission systems incorporating power electronic-based and Other

static controllers to enhance controllability and increase power transfer capability.

3. FACTS Controller:-

A power electronic-based system and other static equipment that provide control of one

or more AC transmission system parameters.

4. FACTS Controllers Definitions:-

The definitions presented in the following are organized according to their respective

connection to the controlled ac transmission system.

(A) Shunt Connected Controllers:-

1. Battery Energy Storage System (BESS):- A chemical-based energy storage system

using shunt connected, voltage sourced converters capable of rapidly adjusting the

amount of energy which is supplied to or absorbed from an ac system.

2. Static Synchronous Compensator (SSC or STATCOM):- A static synchronous

generator operated as a shunt-connected static var compensator whose capacitive or

inductive output current can be controlled independent of the ac system voltage.

3. Static Condenser (STATCON):- This term is deprecated in favor of the Static

Synchronous Compensator (SSC or STATCOM



4. Static Synchronous Generator (SSG):- A static, self-commutated switching power

converter supplied from an appropriate electric energy source and operated to produce a

set of adjustable multi-phase output voltages, which may be coupled to an ac power

system for the purpose of exchanging independently controllable real and reactive power.

5. Static Var Compensator (SVC):- A shunt-connected static var generator or absorber

whose output is adjusted to exchange capacitive or inductive current so as to maintain or

control specific parameters of the electrical power system (typically bus voltage).

6. Static Var Generator or Absorber (SVG):- A static electrical device, equipment, or

system that is capable of drawing controlled capacitive and/or inductive current from an

electrical power system and thereby generating or absorbing reactive power. Generally

considered to consist of shunt connected, thyristor-controlled reactor(s) and/or thyristor-

switched capacitors.

7. Static Var System (SVS):- A combination of different static and mechanically-

switched var compensators whose outputs are coordinated.

8. Superconducting Magnetic Energy Storage (SMES): - A Superconducting

electromagnetic energy storage device containing electronic converters that rapidly

injects and/or absorbs real and/or reactive power or dynamically controls power flow in

an ac system

9. Thyristor Controlled Braking Resistor (TCBR):- A shunt-connected, thyristor-

switched resistor, which is controlled to aid stabilization of a power system or to

minimize power acceleration of a generating unit during a disturbance.

10. Thyristor Controlled Reactor (TCR):- A shunt-connected, thyristor-controlled

inductor whose effective reactance is varied in a continuous manner by partial conduction

control of the thyristor valve.

11. Thyristor Switched Capacitor (TSC):- A shunt-connected, thyristor-switched

capacitor whose effective reactance is varied in a stepwise manner by full- or zero

conduction operation of the thyristor valve.

12. Thyristor Switched Reactor (TSR):- A shunt-connected, thyristor-switched

inductor whose effective reactance is varied in a stepwise manner by full- or zero

conduction operation of the thyristor valve.



13. Var Compensating System (VCS):- A combination of different static and rotating

var compensators whose outputs are coordinated.

(B) Series Connected Controllers:-

1. Static Synchronous Series Compensator (SSSC):- A static, synchronous generator

operated without an external electric energy source as a series compensator whose output

voltage is in quadrature with, and controllable independently of, the line current for the

purpose of increasing or decreasing the overall reactive voltage drop across the line and

thereby controlling the transmitted electric power . The S3C may include transiently

rated energy storage or energy absorbing devices to enhance the dynamic behavior of the

power system by additional temporary real power compensation, to increase or decrease

momentarily, the overall real (resistive) voltage drop across the line.

2. Thyristor controlled Series Capacitor (TCSC):- A capacitive reactance compensator

which consists of a series capacitor bank shunted by thyristor controlled reactor in order

to provide a smoothly variable series capacitive reactance.

3. Thyristor Controlled Series compensation: - An impedance compensator which is

applied in series on an ac transmission system to provide smooth control of series

reactance.

3. Thyristor Controlled Series Reactor (TCSR):- An inductive reactance compensator

which consists of a series reactor shunted by a thyristor controlled reactor in order to

provide a smoothly variable series inductive reactance.

4. Thyristor Switched Series Capacitor (TCSC):- A capacitive reactance compensator

which consists of a series capacitor bank shunted by a thyristor switched reactor to

provide a stepwise control of series capacitive reactance.

5. Thyristor Switched Series Compensation (TSSC):- An impedance compensator

which is applied in series on an ac transmission system to provide a step-wise control of

series reactance.

6. Thyristor Switched Series Reactor (TSSR):-An inductive reactance compensator

which consists of series reactor shunted by thyristor switched reactor in order to provide a

stepwise control of series inductive reactance.



(C) Combined Shunt and Series Connected Controllers:-

1. Interphase Power Controller (IPC):- A series-connected controller of active and

reactive power consisting, in each phase, of inductive and capacitive branches subjected

to separately phase-shifted voltages. The active and reactive power can be set

independently by adjusting the phase shifts and/or the branch impedances, using

mechanical or electronic switches. In the particular case where the inductive and

capacitive impedances form a conjugate pair, each terminal of the IPC is a passive

current source dependent on the voltage at the other terminal.

2. Thyristor Controlled Phase Shifting Transformer (TCPST):- A phase-shifting

transformer, adjusted by thyristor switches to provide a rapidly variable phase angle.

3. Unified Power Flow Controller (UPFC):- A combination of a static synchronous

compensator (STATCOM) and a static synchronous series compensator (S3C) which are

coupled via a common dc link, to allow bi-directional flow of real power between the

series output terminals of the S3C and the shunt output terminals of the STATCOM, and

are controlled to provide concurrent real and reactive series line compensation without an

external electric energy source. The UPFC, by means of angularly unconstrained series

voltage injection, is able to control, concurrently or selectively, the transmission line

voltage, impedance, and angle or, alternatively, the real and reactive power flow in the

line. The UPFC may also provide independently controllable shunt reactive

compensation.

Other Controllers:-

Thyristor Controlled Voltage Limiter (TCVL):- A thyristor-switched metal-oxide

varistor (MOV) used to limit the voltage across its terminals during transient conditions.

2.3 PRESENT STATUS OF FACTS CONTROLLERS :-

FACTS Controllers are currently in various stages of maturity. Some, such as

SVCs, STATCOM and TCSCs, are commercially available. Others are either in the

development or demonstration stages.



Commercially Available FACTS Controllers:-The FACTS Controllers for which

commercial or demonstration projects exist include:

1. Static Var Compensator (SVC):- SVCs have been in use since the early 1960s. The

SVC application for transmission voltage control began in the late 1970s. Since that time,

many SVCs have been applied worldwide for voltage control and, in some cases for

stability enhancement.

2. Thyristor Switched / Controlled Series Capacitor (TSSC/TCSC):- Since 1991 there

have been three installations, in the United States of America (USA), using thyristor

switches to obtain a controllable series capacitive compensation. The first installation was

essentially experimental in nature, testing the hardware of thyristor switched series

capacitor (TSSC). A thyristor valve was applied across one phase of a capacitor module

on a series capacitive compensated 345 KV transmission line Kanawa River - Matt Funk

line at Kanawa River Substation in West Virginia. The second installation was a thyristor

controlled series capacitor (TCSC). It consists of a fixed capacitor shunted by a thyristor

controlled reactor, providing continuously controlled series capacitive compensation. It

was installed in a 300 km, 230 KV transmission line at the Kayenta Substation in

Arizona. The functions of this installation are to increase power transfers to the line’s

thermal limit and evaluate the TCSC ability to control power flow, line impedance, damp

electromechanical power oscillations, and mitigate Sub synchronous Resonance The third

installation, at the Slat substation in Oregon, is also a TCSC . The Slat TCSC is

comprised of six identical thyristor controlled capacitor modules connected in series.

3. Static Synchronous Compensator (STATCOM):-

The most recent STATCOM installation is a ±100 MVAR STATCOM which is installed

in November 1995 at Sullivan (500 KV / 161 KV) substation in Johnson City, Tennessee.

In 1991 an 80 MVAR was installed at the Inuyama Switching Station in Japan. In

operation the 100 MVAR STATCOM will provide voltage control to the 161 KV bus

voltages during daily buildup to minimize the activation of the on load tap changer of the

500 KV / 161 KV transformer. Furthermore, the STATCOM will provide adequate

voltage support to the 161 KV and 500 KV buses during light and peak load conditions.



2.4 FACTS Controllers Currently Under Development

Unified Power Flow Controller (UPFC):- The first large-scale UPFC will consist of a

shunt voltage sourced inverter (STATCOM) rated at 2 160 MVA to provide 2 150

MVAR reactive power support and 50 MW real power through the DC link required in

full UPFC mode of operation. The series voltage sourced inverter is rated 160 MVA to

provide phase shifting and/or series compensation. Both the STATCOM and series

subsystem will consist of a 160 MVA voltage sourced, multi-pulse, harmonic neutralized

GTO inverter and magnetic interface. The UPFC will be installed on 138 KV

transmission line at Inez substation in Kentucky. The installation is planned to be

completed by the end of 1997.

Future FACTS Controllers:-FACTS Controllers which are expected to be available in

the foreseeable future include:

Thyristor Controlled Phase Shifting transformer (TCPST).

Static Synchronous Series Compensator (SSSC).

Interphase power controller (IPC).

General Description:-

The large interconnected transmission networks (made up of predominantly

overhead transmission lines) are susceptible to faults caused by lightning discharges and

decrease in insulation clearances by undergrowth. The power flow in a transmission line

is determined by Kirchhoff's laws for specified power injections (both active and

reactive) at various nodes. While the loads in a power system vary by the time of the day

in general, they are also subject to variations caused by the weather (ambient

temperature) and other unpredictable factors. The generation pattern in a deregulated

environment also tends to be variable (and hence less predictable). Thus, the power flow

in a transmission line can vary even under normal, steady state conditions.

The occurrence of a contingency (due to the tripping of a line, generator) can

result in a sudden increase/decrease in the power flow. This can result in overloading of

some lines and consequent threat to system secure a major disturbance can also result in

the swinging of generator rotors which contribute to power swings in transmission lines.

It is possible that the system is subjected to transient instability and cascading outages as

individual components (lines and generators) trip due to the action of protective relays. If



the system is operating close to the boundary of the small signal stability region, even a

small disturbance can lead to large power swings and blackouts. The increase in the

loading of the transmission lines sometimes can lead to voltage collapse due to the

shortage of reactive power delivered at the load centers. This is due to the increased

consumption of the reactive power in the transmission network and the characteristics of

the load (such as induction motors supplying constant torque). The factors mentioned in

the previous paragraphs point to the problems faced in maintaining economic and secure

operation of large interconnected systems.

The problems are eased if sufficient margins (in power transfer) can be

maintained. This is not feasible due to the difficulties in the expansion of the transmission

network caused by economic and environmental reasons. The required safe operating

margin can be substantially reduced by the introduction of fast dynamic control over

reactive and active power by high power electronic controllers. This can make the AC

transmission network “flexible” to adapt to the changing conditions caused by

contingencies and load variations. Flexible AC Transmission System (FACTS) is defined

as `Alternating current transmission systems incorporating power electronic-based and

other static controllers to enhance controllability and increase power transfer capability’.

The FACTS controller is defined as a power electronic based system and other static

equipment that provide control of one or more AC transmission system parameters.

The FACTS controllers can be classified as

1. Shunt connected controllers

2. Series connected controllers

3. Combined series-series controllers

4. Combined shunt-series controllers

Depending on the power electronic devices used in the control, the FACTS controllers

can be classified as

(A) Variable impedance type

(B) Voltage Source Converter (VSC).

The variable impedance type controllers include:

(i) Static Var Compensator (SVC), (shunt connected)



(ii) Thyristor Controlled Series Capacitor or compensator (TCSC), (series

connected)

(iii) Thyristor Controlled Phase Shifting Transformer (TCPST) of Static PST

(combined shunt and series)

The VSC based FACTS controllers are:

(i) Static synchronous Compensator (STATCOM) (shunt connected)

(ii) Static Synchronous Series Compensator (SSSC) (series connected)

(iii) Interline Power Flow Controller (IPFC) (combined series-series)

(iv) Unified Power Flow Controller (UPFC) (combined shunt-series)

Some of the special purpose FACTS controllers are

(a) Thyristor Controller Braking Resistor (TCBR)

(b) Thyristor Controlled Voltage Limiter (TCVL)

(c) Thyristor Controlled Voltage Regulator (TCVR)

(d) Interphase Power Controller (IPC)

(e) NGH-SSR damping

The FACTS controllers based on VSC have several advantages over the

variable impedance type. For example, a STATCOM is much more compact than a SVC

for similar rating and is technically superior. It can supply required reactive current even

at low values of the bus voltage and can be designed to have in built short term overload

capability. Also, a STATCOM can supply active power if it has an energy source or large

energy storage at its DC terminals. The only drawback with VSC based controllers is the

requirement of using self commutating power semiconductor devices such as Gate Turn-

off (GTO) thyristors, Insulated Gate Bipolar Transistors (IGBT), Integrated Gate

Commutated Thyristors (IGCT). Thyristors do not have this capability and cannot be

used although they are available in higher voltage ratings and tend to be cheaper with

reduced losses. However, the technical advantages with VSC based controllers coupled

will emerging power semiconductor devices using silicon carbide technology are

expected to lead to the wide spread use of VSC based controllers in future. It is

interesting to note that while SVC was the first FACTS controllers (which utilized the

thyristor valves developed in connection with HVDC line commutated convertors)



several new FACTS controller based on VSC have been developed. This has led to the

introduction of VSC in HVDC transmission for ratings up to 300 MW.



CHAPTER 3

APPLICATIONS & BENEFITS OF FACTS



3. APPLICATIONS & BENEFITS OF FACTS

FACTS controllers can be used for various applications to enhance power system

performance. One of the greatest advantages of using FACTS controllers is that it can be

used in all the three states of the power system, namely Steady state, Transient and Post

transient steady state.

3.1 APPLICATIONS

STEADY STATE APPLICATION:-

Various steady state applications of FACTS controller includes voltage control

(low and high), increase of thermal loading, post-contingency voltage control, loop flows

control, reduction in short circuit level and power flow control. SVC and STATCOM can

be used for voltage control while TCSC is more suited for loop flow control and for

power flow control.

CONGESTION MANAGEMENT:-

Congestion management is a serious concern for Independent System Operator

(ISO) in present deregulated electricity markets as it can arbitrarily increase the prices

and hinders the free electricity trade. FACTS devices like TCSC, TCPAR (Thyristor

Controlled Phase Angle Regulator) and UPFC can help to reduce congestion, smoothen

locational marginal prices (LMP) and to increase the social welfare by redirecting power

from congested interface to under utilized lines.

ATC IMPROVEMENT:-

In many deregulated market, the power transaction between buyer and seller is

allowed based on calculation of ATC. Low ATC signifies that the network is unable to

accommodate further transaction and hence does not promote free competition. FACTS

controllers like TCSC, TCPAR and UPFC can help to improve ATC by allowing more

power transactions.

SSR ELIMINATION:-

Sub synchronous resonance (SSR) is a phenomenon which can be associated with

series compensation under certain adverse conditions. TCSC have dynamic

characteristics that differ drastically from conventional series capacitors especially at



frequencies outside the operating frequency range and hence is used in Stode, Sweden for

the elimination of SSR in the power system.

POWER SYSTEM INTERCONNECTION:-

Interconnection of power systems is becoming increasingly widespread as part of

power exchange between countries as well as regions within countries in many parts of

the world. There are numerous examples of interconnection of remotely separated regions

within one country. Such are found in the Nordic countries, Argentina and Brazil. In

cases of long distance AC transmission, as in interconnected power systems, care has to

be taken for safeguarding of synchronism as well as stable system voltages, particularly

in conjunction with system faults. With series compensation, bulk AC power

transmission over distances of more than 1,000 km are a reality today and has been used

in Brazil north south interconnection. With the advent of TCSC, further potential as well

as flexibility is added to AC power transmission.

APPLICATION IN DEREGULATED ENVIRONMENT:-

Apart from its traditional application for voltage control, power flow control and

enhancing steady state and dynamic limits, FACTS controllers are finding new

applications in the present deregulated environment. One of the applications is in

controlling the “parallel flow” or “loop flow”. Loop flow results in involuntary reduction

in transmission capacity that may belong to some other utility and hence foreclose

beneficial transactions through that line. Utilities can also make use of FACTS

controllers in their tie lines, either to shield it from the neighboring effects, such as

wheeling transactions or to participate in such transaction. FACTS devices can also be

implemented to ensure the economy in operation by placing it in a suitable line such that

least cost generators can be dispatched more. It can also be used to reduce the losses in

the system. Yet, another application is to use FACTS to relieve the congestion in the

system. FACTS devices can be strategically placed such that congestion cost is reduced,

curtailment is decreased and price volatility due to congestion is minimized.



Application of FACTS Controllers in Distribution Systems

Although the concept of FACTS was developed originally for transmission

network; this has been extended since last 10 years for improvement of Power Quality

(PQ) in distribution systems operating at low or medium voltages. In the early days, the

power quality referred primarily to the continuity of power supply at acceptable voltage

and frequency. However, the prolific increase in the use of computers, microprocessors

and power electronic systems has resulted in power quality issues involving transient

disturbances in voltage magnitude, waveform and frequency. The nonlinear loads not

only cause PQ problems but are also very sensitive to the voltage deviations. In the

modern context, PQ problem is defined as “Any problem manifested in voltage, current

or frequency deviations that result in failure or misoperation of customer equipment".

The PQ problems are categorized as follows

1. Transients

(a) Impulsive

(b) Oscillatory

2. Short-duration and Long-duration variations

(a) Interruptions

(b) Sag (dip)

(c) Swell

3. Voltage unbalance

4. Waveform distortion

(a) DC offset

(b) Harmonics

(c) Inter harmonics

(d) Notching

(e) Noise

5. Voltage Flicker

6. Power frequency variations

Hingorani was the first to propose FACTS controllers for improving PQ. He

termed them as Custom Power Devices (CPD). These are based on VSC and are of 3

types given below.



1. Shunt connected Distribution STATCOM (DSTATCOM)

2. Series connected Dynamic Voltage Restorer (DVR)

3. Combined shunt and series, Unified Power Quality Conditioner (UPQC).

The DVR is similar to SSSC while UPQC is similar to UPFC. In spite of the

similarities, the control strategies are quite different for improving PQ. A major

difference involves the injection of harmonic currents and voltages to isolate the source

from the load. For example, a DVR can work as a harmonic isolator to prevent the

harmonics in the source voltage reaching the load in addition to balancing the voltages

and providing voltage regulation. A UPQC can be considered as the combination of

DSTATCOM and DVR. A DSTATCOM is utilized to eliminate the harmonics from the

source currents and also balance them in addition to providing reactive power

compensation (to improve power factor or regulate the load bus voltage). The

terminology is yet to be standardized. The term `active filters' or `power conditioners' is

also employed to describe the custom power devices. ABB terms DSTATCOM as `SVC

light'. Irrespective of the name, the trend is to increasingly apply VSC based

compensators for power quality improvement.

3.2 BENEFITS:-

The benefits from the use of FACTS devices are many; however, not all are

tangible. Similarly, the cost of FACTS devices is also huge. The world second UPFC

came into operation at the end of year 2004 in Keepco power system in Korea. It was the

largest single procurement order ever placed by Keepco. From this, it is clear how

expensive these technologies are. But, the cost has to compute against anticipated

benefits. One of the reasons for low deployment of FACTS is because

ENVIRONMENTAL BENEFIT:-

The construction of new transmission line has negative impact on the

environment. FACTS devices help to distribute the electrical energy more economically

through better utilization of existing installation there by reducing the need for additional

transmission lines. For example, in Sweden, eight 400 KV systems run in parallel to

transport electrical energy from the north to the south. Each of these transmission systems



is equipped with FACTS. Studies have shown that four additional 400 KV transmission

systems would be necessary, if FACTS were not utilized on the existing systems.

INCREASED STABILITY:-

Instabilities in power system are created due to long length of transmission lines,

interconnected grid, changing system loads and line faults in the system. These

instabilities results in reduced line flows or even line trip. FACTS devices stabilize

transmission systems with increased transfer capability and reduced risk of line trips.

INCREASED QUALITY OF SUPPLY:-

Modern industries require high quality of electricity supply including constant

voltage and frequency, and no supply interruptions. Voltage dips, frequency variations or

the loss of supply can lead to interruptions in manufacturing processes with high

economic losses. FACTS devices can help to provide the required quality of supply.

FLEXIBILITY AND UPTIME:-

Unlike new overhead transmission lines that take several years to construct,

FACTS installation requires only 12 to 18 months. FACTS installation has the flexibility

for future upgrades and requires small land area.

FINANCIAL BENEFIT:-

Financial benefit from FACTS devices comes from the additional sales due to

increased transmission capability, additional wheeling charges due to increased

transmission capability and due to delay in investment of high voltage transmission lines

or even new power generation facilities. Also, in a deregulated market, the improved

stability in a power system substantially reduces the risk for forced outages, thus reducing

risks of lost revenue and penalties from power contracts.

REDUCED MAINTENANCE COST:-

The overhead transmission lines need to be cleared from the surrounding

environment (e.g. tree branches) from time to time. In comparison to this, the FACTS



maintenance cost is very minimum. In addition, as the number of transmission line

increases, the probability of fault occurring in a line is also high. So, by utilizing the

transmission systems optimally with the use of FACTS, the total number of line fault is

minimized, thus reducing the maintenance costs. The capital investment and the

operating costs (essentially the cost of power losses and maintenance) are offset against

the benefits provided by the FACTS controllers and the `payback period' is generally

used as an index in the planning. The major issues in the deployment of FACTS

controllers are (a) the location (b) ratings (continuous and short term) and (c) control

strategies required for the optimal utilization. Here, both steady-state and dynamic

operating conditions have to be considered. Several systems studies involving power

flow, stability, short circuit analysis are required to prepare the specifications. The design

and testing of the control and protection equipment is based on Real Time Digital

Simulator (RTDS) or physical simulators. It is to be noted that a series connected FACTS

controller (such as TCSC) can control power flow not only in the line in which it is

connected, but also in the parallel paths (depending on the control strategies).



CHAPTER 4

STATIC SYNCHRONOUS SERIES COMPENSATOR

(SSSC)



4. Static synchronous series compensator

4.1 INTRODUCTION

Modern power systems are designed to operate efficiently to supply power on

demand to various load centers with high reliability. The generating stations are often

located at distant locations for economic, environmental and safety reasons. For example,

it may be cheaper to locate a thermal power station at pithead instead of transporting coal

to load centres. Hydropower is generally available in remote areas. A nuclear plant may

be located at a place away from urban areas. Thus, a grid of transmission lines operating

at high or extra high voltages is required to transmit power from the generating stations to

the load centres. In addition to transmission lines that carry power from the sources to

loads, modern power systems are also highly interconnected for economic reasons. The

interconnected systems benefit by

(a) Exploiting load diversity

(b) Sharing of generation reserves and

(c) Economy gained from the use of large efficient units without sacrificing reliability.

However, there is also a downside to ac system interconnection - the security can

be adversely affected as the disturbances initiated in a particular area can spread and

propagate over the entire system resulting in major blackouts caused by cascading

outages.

4.2 Basics of Power Transmission Networks

A large majority of power transmission lines are AC lines operating at different

voltages (10 KV to 800 KV). The distribution networks generally operate below 100 KV

while the bulk power is transmitted at higher voltages. The lines operating at different

voltages are connected through transformers which operate at high efficiency.

Traditionally, AC lines have no provision for the control of power flow.

The mechanically operated circuit breakers (CB) are meant for protection

against faults (caused by flashovers due to over voltages on the lines or reduced

clearances to ground). A CB is rated for a limited number of open and close operations at



a time and cannot be used for power flow control. (Unlike a high power electronic switch

such as thyristor, GTO, IGBT, IGCT, etc.). Fortunately, ac lines have inherent power

flow control as the power flow is determined by the power at the sending end or receiving

end. For example, consider a transmission line connecting a generating station to a load

centre in Fig 4.1(a). Assuming the line to be lossless and ignoring the line charging, the

power flow (P) is given by

P =

------------------- Eq 4.1

Where X is the series line reactance. Assuming V1 and V2 to be held constants (through

voltage regulators at the two ends), the power injected by the power station determines

the flow of power in the line. The difference in the bus angles is automatically adjusted to

enable P = PG (Note that usually there could be more than one line transmitting power

from a generating station to a load centre). If one or more lines trip, the output of the

power station may have to be reduced by tripping generators, so as to avoid overloading

the remaining lines in operation.

(a) A line transmitting power from a generating station

(b) A line supplying power to a load

Fig 4.1: A transmission line carrying a power

Fig. 4.1(b) shows another situation where a line supplies power to a load located at bus

(2). Here also the eq. (4.1) applies but the power flow in the line is determined by the



load supplied. The essential difference between the two situations is that in Fig. 4.1(a),

the load centre is modeled as an infinite bus which can absorb (theoretically) any amount

of power supplied to it from the generating station. This model of the load centre assumes

that the generation available at the load centre is much higher than the power supplied

from the remote power station (obviously, the total load supplied at the load centre is

equal to the net generation available at that bus). The reliability of the power supply at a

load bus can be improved by arranging two (or more) sources of power as shown in Fig.

4.2. Here, P1 is the output of G1 while P2 is the output of G2 (Note that we are neglecting

losses as before). However, the tripping of any one line will reduce the availability of

power at the load bus.

This problem can be overcome by providing a line (shown dotted in Fig. 4.2) to

interconnect the two power stations. Note that this results in the creation of a mesh in the

transmission network. This improves the system reliability, as tripping of any one line

does not result in curtailment of the load. However, in steady state, P1 can be higher or

lower than PG1 (the output of G1). The actual power flows in the 3 lines forming a mesh

are determined by Kirchhoff’s Voltage Law (KVL). In general, the addition of an

(interconnecting) line can result in increase of power flow in a line (while decreasing the

power flow in some other line). This is an interesting feature of AC transmission lines

and not usually well understood (in the context of restructuring). In general, it can be

stated that in an uncontrolled AC transmission network with loops (to improve system

reliability), the power flows in individual lines are determined by KVL and do not follow

the requirements of the contracts (between energy producers and customers). In other

words, it is almost impossible to ensure that the power flow between two nodes follows a

predetermined path.

This is only feasible in radial networks (with no loops), but the reliability is

adversely affected as even a single outage can result in load curtailment. Consider two

power systems, each with a single power station meeting its own local load,

interconnected by a tie line as shown in Fig. 4.3(a). In this case, the power flow in the tie

line (P) in steady state is determined by the mismatch between the generation and load in

the individual areas. Under dynamic conditions, this power flow is determined from the

equivalent circuit shown in Fig. 4.3(b). If the capacity of the tie is small compared to the



size (generation) of the two areas, the angles δ1 and δ2 are not affected much by the tie

line power flow. Thus, power flow in AC tie is generally uncontrolled and it becomes

essential to trip the tie during a disturbance, either to protect the tie line or preserve

system security. In comparison with an AC transmission line, the power flow in a HVDC

line is controlled and regulated. However, HVDC converter stations are expensive and

HVDC option is used primarily for

(a) Long distance bulk power transmission

(b) Interconnection of asynchronous systems and

(c) Underwater (submarine) transmission.

The application of HVDC transmission (using thyristor converters) is also constrained by

the problem of commutation failures affecting operation of multiterminal or multi-feed

HVDC systems. This implies that HVDC links are primarily used for point-to-point

transmission of power and asynchronous interconnection (using Back to Back (BTB)

links).

Fig 4.2: Two generating stations supplying a load



(a) Single line diagram

(b) Equivalent circuit

Fig: 4.3 Two areas connected by a tie line

4.3 Control of Power Flow in AC Transmission Line

We may like to control the power flow in a AC transmission line to

(a) enhance power transfer capacity and or

(b) To change power flow under dynamic conditions (subjected to disturbances such

as sudden increase in load, line trip or generator outage) to ensure system stability

and security.

The stability can be affected by growing low frequency, power oscillations (due to

generator rotor swings), loss of synchronism and voltage collapse caused by major

disturbances From eq. (4.1), we have the maximum power (Pmax) transmitted over a line

as max

P =

---------------------------------------Eq 4.2



Where δmax (30ο - 40

ο) is selected depending on the stability margins and the stiffness of

the terminal buses to which the line is connected. For line lengths exceeding a limit, Pmax

is less than the thermal limit on the power transfer determined by the current carrying

capacity of the conductors (Note this is also a function of the ambient temperature). As

the line length increases, X increases in a linear fashion and Pmax reduces as shown in Fig.

4.4.

Fig 4.4: Power transfer capability as a function of line length

The series compensation using series connected capacitors increases Pmax as the

compensated value of the series reactance (Xc) is given by

XC = X (1-KSE) -----------------------------Eq 4.3

Where KSE is the degree of series compensation. The maximum value of KSE that can be

used depends on several factors including the resistance of the conductors. Typically KSE

does not exceed 0.7. Fixed series capacitors have been used since a long time for

increasing power transfer in long lines. They are also most economical solutions for this

purpose. However, the control of series compensation using thyristor switches has been

introduced only 10 - 15 years ago for fast power flow control. The use of Thyristor

Controlled Reactors (TCR) in parallel with fixed capacitors for the control of XC, also

helps in overcoming a major problem of Subsynchronous Resonance (SSR) that causes

instability of torsional modes when series compensated lines are used to transmit power



from turbo generators in steam power stations. In tie lines of short lengths, the power

flow can be controlled by introducing Phase Shifting Transformer (PST) which has a

complex turn’s ratio with magnitude of unity. The power flow in a lossless transmission

line with an ideal PST (see Fig. 4.5) is given by

P =

--------------------------------------Eq 4.4

Where θ = θ1- θ2

Fig 4.5: A lossless line with an ideal PST

Again, manually controlled PST is not fast enough under dynamic conditions. Thyristor

switches can ensure fast control over discrete (or continuous) values of A, depending on

the configuration of PST used. Pmax can also be increased by controlling (regulating) the

receiving end voltage of the AC line. When a generator supplies a unity power factor load

(see Fig. 4.1(b)), the maximum power occurs when the load resistance is equal to the line

reactance. It is to be noted that V2 varies with the load and can be expressed as

V2 = V1 ------------------------- 4.5

Substituting (4.5) in (4.1) gives:

P = V12 / 2X ------------------------4.6

By providing dynamic reactive power support at bus (2) as shown in Fig. (4.6), it is

possible to regulate the bus voltage magnitude. The reactive power (QC) that has to be

injected is given by



Fig 4.6: Transmission line compensated by controllable reactive power source at

receiving end

QC = V22 – V1V2 / X --------------------- 4.7

Comparing eq. (4.6) with (4.1), it can be seen that the maximum power transfer can be

doubled just by providing dynamic reactive power support at the receiving end of the

transmission line. This is in addition to the voltage support at the sending end. It is to be

noted that while steady state voltage support can be provided by mechanically switched

capacitors, the dynamic voltage support requires synchronous condenser or a power

electronic controller such as Static Var Compensator (svc) or static synchronous

compensator (STATCOM).

Voltage Source Converter Based Controllers - An Introduction

This section is aimed at giving a brief introduction to the VSC based controller.

The schematic diagram of a STATCOM is shown in Fig. 4.7 while that of a SSSC is

shown in Fig.4.8. The diagram of a UPFC is shown in Fig. 4.9.

Fig: 4.7 Shunt connected STATCOM



Fig 4.8: Series connected SSSC

Fig 4.9: Unified power flow controller

A six pulse Voltage Source Converter (VSC) is shown in Fig. 4.10. By suitable

control, the phase and the magnitude of the AC voltage injected by the VSC can be

controlled. The Phase Lock Loop (PLL) ensures that the sinusoidal component of the

injected voltage is synchronized (matching in frequency and required phase angle) with

the voltage of the AC bus to which VSC is connected through an inductor. Often, the

leakage impedance of the interconnecting transformer serves as the inductive impedance

that has to separate the sinusoidal bus voltage and the voltage injected by the VSC (which

contains harmonics). The injection of harmonic voltages can be minimized by multipulse

(12, 24 or 48), and/or multilevel convertors. At low power levels, it is feasible to provide

pulse width modulation (PWM) to control the magnitude of the fundamental component

of the injected voltage. The high voltage IGBT devices can be switched up to 2 kHz and

high frequency of sinusoidal modulation enables the use of simple L-C (low pass) filters

to reduce harmonic components.



Fig 4.10: A three phase six pulse VSC

The operation of a VSC can be explained with reference to a single phase (half-wave)

convertor shown in Fig. 4.11. This can represent one leg of the 3 phase VSC.

Fig 4.11:- A single phase half wave rectifier

TA+ and TA- are controllable switches which can be switched on or off at controllable

instants in a cycle. The diodes ensure that the current can flow in both directions in the

DC capacitor. The switches TA+ and TA- work in complementary fashion - only one of

them is on while the other is off. If the switch is turned on only once during a cycle, this

is called as the square-wave switching scheme with each switch conducting for 180˚in a

cycle. The peak value of the fundamental component (VAN1) is given by

VAN1=

----------------------------4.8

The waveform contains odd harmonics with the magnitudes

VANh=

---------------4.9



It is to be noted that in the square wave switching scheme, only the phase angle of the

voltage injected by the VSC can be controlled (and not the magnitude) . In a three phase

converter with 3 legs the triplen harmonics will disappear such that the non-zero

harmonic order (h) is given by

h = 6n ± 1, n = 1, 2…. --------------------------------4.10

Increasing the pulse number from six to twelve has the effect of eliminating the

harmonics corresponding to odd values of n. The introduction of PWM has the effect of

controlling the magnitude of the fundamental component of the injected voltage by the

VSC. For this case, the waveform of the voltage VAN is shown in Fig. 4.12. Using

sinusoidal modulation (with triangular carrier wave), the peak value of the injected

sinusoidal voltage can be expressed as

VAN1= m

--------------------------------------4.11

Where m is called the modulation index. The maximum modulation index can be

achieved with space vector modulation and is given by

M max =

----------------------------------------------4.12

It is to be noted that the modulation index (m) and the phase angle (α) are controlled to

regulate the injected current by the shunt connected VSC. Neglecting losses, a

STATCOM can only inject reactive current in Steady state. The reactive current

reference can be controlled to regulate the bus voltage. In a similar fashion the reactive

voltage injected by a lossless SSSC can be controlled to regulate the power flow in a line

within limits.



Fig 4.12: Waveform of VAN and the fundamental component

. The combination of a STATCOM and a SSSC, in which the STATCOM feeds (or

absorbs) power on the DC side to SSSC, can be used to regulate both active and reactive

power flow in a line (subject to the constraints imposed by the ratings of the converters in

addition to the limits on bus voltages).

Introduction-SSSC:-

The Static Synchronous Series Compensator (SSSC) is a series connected FACTS

controller based on VSC and can be viewed as an advanced type of controlled series

compensation, just as a STATCOM is an advanced SVC. A SSSC has several advantages

over a TCSC such as

(a) Elimination of bulky passive components like capacitors and reactors,

(b) Improved technical characteristics

(c) Symmetric capability in both inductive and capacitive operating modes

(d) Possibility of connecting an energy source on the DC side to exchange real power

with the AC network.



However, a SSSC is yet to be installed in practice except as a part of UPFC or

Convertible Static Compensator (CSC). An example of the former is a 160 MVAR series

connected converter as part of the Unified Power Flow Controller installed at Inez station

of American Electric Power (AEP). An example of the latter are the two, 100 MVA

series connected converters at Marcy 345 KV substation in Central New York belonging

to NYPA. In both cases, 24 pulse three-level converters are used. This topology reduces

the injected harmonic voltages considerably and there is no need for harmonic filters.

BASIC OPERATING MODES FOR THE SSSC:- There are several possible control

strategies:

Constant Voltage Injection Mode: - In this mode the SSSC generates a three phase

voltage with Respect to a reference input. The direct voltage injection mode is used to

provide purely reactive series compensation where the injected voltage is always kept in

quadrature with the line current.

Constant Impedance Emulation Mode: - This control mode provides a opportunity for

operator to control the total line impedance, which can be specified by the reference

input. The series injected voltage will create, via the series transformer, virtual

impedance seen by the transmission line.

Constant Power Control Mode:- Under this mode, the injected voltages can he variable

in Magnitude and phase angle in order to control the power flow to be constant. This

control Mode can also be used for improving system transient stability.

Basic SSSC function:-

Electric power flow through an alternating current transmission line is a

function of the line impedance, the magnitudes of the sending-end and receiving-end

voltages, and the phase angle between these voltages. The power flow can be decreased

by inserting an additional inductive reactance in series with the transmission line, thereby

increasing the effective reactance of the transmission line between its two ends. Also, the

power flow can be increased by inserting an additional capacitive reactance in series with

the transmission line, thereby decreasing the effective reactance of the transmission line

between its two ends. Traditionally, in order to control the power flow of the transmission



line, the effective line reactance is controlled by using fixed or thyristor-controlled series

capacitors or inductors.

Recently, a new power flow controller entitled Transmission Line Dynamic

Impedance Compensation System which uses solid state switching converters has been

proposed. With the use of the impedance compensation controller, a Static Synchronous

Series Compensator (SSSC), which is a solid-state voltage source inverter, injects an

almost sinusoidal voltage, of variable magnitude, in series with a transmission line. This

injected voltage is almost in quadrature with the line current. A small part of the injected

voltage which is in phase with the line current provides the losses in the inverter. Most of

the injected voltage which is in quadrature with the line current emulates an inductive or

a capacitive reactance in series with the transmission line. This emulated variable

reactance, inserted by the injected voltage source, influences the electric power flow in

the transmission line.

An impedance compensation controller can compensate for the transmission line

resistance if an SSSC is operated with an energy storage system. An impedance

compensation controller, when used with an SSSC and no energy storage system, is

essentially a reactance compensation controller. The reactance compensation controller is

used to operate the inverter in such a way that the injected alternating voltage in series

with the transmission line is proportional to the line current with the emulated reactance

being the constant of proportionality. When an SSSC injects an alternating voltage

leading the line current, it emulates an inductive reactance in series with the transmission

line causing the power flow as well as the line current to decrease as the level of

compensation increases and the SSSC is considered to be operating in an inductive mode.

When an SSSC injects an alternating voltage lagging the line current, it emulates a

capacitive reactance in series with the transmission line causing the power flow as well as

the line current to increase as the level of compensation increases and the SSSC is

considered to be operating in a capacitive mode. FACTS devices consist of a solid-state

voltage source inverter with several Gate Turn off (GTO) thyristor switch-based valves

and a DC link capacitor, a magnetic circuit, and a controller. The number of valves and



the various configurations of the magnetic circuit depend on the desired quality of AC

waveforms generated by the FACTS devices.

Theory:-

Fig 4.13 shows a single line diagram of a simple transmission line with an inductive

reactance, X,, connecting a sending-end voltage source, Vs , and a receiving-end voltage

source, Vr , respectively.

Fig 4.13: An elementary transmission power system

The real and reactive power (P and Q) flow at the receiving-end voltage source is given

by the expressions:-

P =

------------------------------------------------4.13 (a)

And

Q =

---------------------------4.14(b)

Where Vs and Vr are the magnitudes and δs and δr are the phase angles of the voltage

sources Vs and Vr respectively. For simplicity, the voltage magnitudes are chosen such

that Vs = Vr =V and the difference between the phase angles is δ = δs - δr. An SSSC,

limited by its voltage and current ratings, is capable of emulating a compensating

reactance, Xq, (both inductive and capacitive) in series with the transmission line

inductive reactance, X, Therefore, the expressions for power flow given in equation (1)

become XL(1-Xq / XL)



P q =

-----------------------------------------4.15

And

Qq =

--------------------------------------4.16

Where Xeff is the effective reactance of the transmission line between its two ends,

including the emulated variable reactance inserted by the injected voltage source of the

SSSC. The compensating reactance, Xq, is defined to be negative when the SSSC is

operated in an inductive mode and positive when the SSSC is operated in a capacitive

mode.

4.4 STATIC SYNCHRONOUS SERIES COMPENSATOR (SSSC)

WORKING:-

The voltage–sourced converter-based series compensator, called static

synchronous series compensator (SSSC) ,was proposed by Gyugyi in 1989 within the

concept of using converter-based technology uniformly for shunt and series

compensation, as well as for transmission angle control. The basic operation principle of

the SSSC can be explained with reference to the fig 4.13 together with the related voltage

phasor diagram. The phasor diagram clearly shows that at a given line current the voltage

across the series capacitor forces the opposite polarity voltage across the series line

reactance to increases by the magnitude of the capacitor voltage. thus, the series

capacitive compensation works by increasing the voltage across the impedance of the

given physical line, which in turn increases the corresponding line current and the

transmitted power, while it may be convenient to consider series capacitive compensation

as a means of reducing the line impedance, in reality, as explained previously, it is really

a means of increasing the voltage across the given impedance of the physical line. it

follows therefore that the same steady-state power transmission can be established if the



series compensation is provided by a synchronous ac voltage source, as shown in fig

4.14, whose output precisely matches the voltage of the series capacitor ,i.e.,

Vq = Vc = -JXCI = -JKXI ---------------------------------- (4.17)

Where, as before, Vc is the injected compensating voltage phasor, I is the line current, Xc

is the reactance of the series capacitor. X is the line reactance, K=Xc/X is the degree of

series compensating, and J=√-1. Thus , by making the output voltage of the synchronous

voltage source a function of the line current, as specified by (4.17), the same

compensation as provided by the series capacitor is accomplished . However, in contrast

to the real series capacitor, the SVS is able to maintain a constant compensating voltage

in the presence of variable line current, or control the amplitude of the injected

compensating voltage independent of the amplitude of the line current.

For normal capacitive compensation, the output voltage lags the line current by 90

degrees. For SVS, the output voltage can be reversed by simple control action to

Basic two-machine system with a series capacitor compensated line and associated

phasor diagram



Figure 4.14: Basic two-machine system as in figure 6.30 but with synchronous voltage

source replacing the series capacitor

Make it lead or lag the line current by 90 degrees. In the case, the injected voltage

decreases the voltage across the inductive line impedance and thus the series

compensation has the same effect as if the reactive line impedance was increased

With above observations, a generalized expression for the injected voltage,

Vq, can simply be written :

Vq= ± JVq(ζ)

--------------------------(4.18)

Where Vq (ζ) is the magnitude of the injected compensating voltage (0 ≤ Vq (ζ) ≤ Vqmax)

and ζ is a chosen control parameter. the series reactive compensation scheme, using a

switching power converter (voltage-sourced converter) as a synchronous voltage source

to produce a controllable voltage in quadrature with the liner current as defined by(4.18)

is , per IEEE and CIGRE definition, termed the static synchronous series compensator

(SSSC).

Transmitted power versus transmission angle characteristic:-

The SSSC injects the compensating voltage in series with the line irrespective of the line

current. The transmitted power Pq verses the transmission angles δ relationship therefore

becomes a parametric function of the injected voltage, Vq, and it can be expressed for a

two machine system as follows:



P=

SIN δ +

Vq COS δ/2 ------------------ (4.19)

The normalized power P verses angle δ plots as a parametric function of Vq are shown in

fig 6.32 for Vq =0, ± 0.353, and ± 0.707. for comparison, the normalized power P versus

angle δ plots of a series capacitor compensated two machine system are shown in fig 4.16

as a parametric function of the degree of series compunction K. For this comparison, K is

chosen to give the same maximum power as the SSSC with corresponding Vq. that is, at

δ=90 degree, k=1/5 when Vq=0.353 and k=1/3 when Vq=0.707.

Comparison of the corresponding plots in figures 4.15 and 4.16 clearly shows that the

series capacitor increase the transmitted power by a fixed percentage of that transmitted

by the uncompensated line at a given δ and, by contrast, the SSSC can increases it by a

fixed fraction of the maximum power transmittable by the uncompensated line,

independent of δ in the important operating range of 0≤δ≤Π/2.

Fig 4.15 Transmitted power vs. transmission angle provided by the SSSC as a parametric

function of the series compensation voltage.



Figure 4.16 transmitted power vs. transmission angle attainable with series capacitive

compensation as a parametric function of the degree of series compensation

Figure 4.17 oscillograms from TNA simulation showing the capability of the SSSC to

control as well as reverse real power flow



For applications requiring (steady-state or dynamic) power flow control, the basic

P versus δ characteristic shown in figure 4.15 indicates that the SSSC, similarly to the

statcom, inherently has twice as wide controlled compensation range as the VA rating of

the converter. This means that the SSSC can decrease, as well as increases the power

flow to the same degree, simply by reversing the polarity of the injected ac voltage. The

reversed (180 degree phase shift) voltage adds directly to the reactive voltage drop of the

line as if the reactive line impedance was increased. further more, if this (reverse polarity)

injected voltage is made larger than the voltage impressed across the uncompensated line

by the sending and receiving-end systems, that is, if Vq >|Vs-Vr|, then the power flow will

reverse with the line current I = (Vq >|Vs-Vr|)/X , as indicated in figure 4.15.

The feasibility of reversing power flow by reactive compensation is demonstrated

in figure 4.16 by the results obtained from the TNA simulation of a simple two- machine

system controlled by a precisely detailed SSSC hardware model. the plots in the figure

shows, at δ=10 degree , the line current I together with the receiving- end (l-n) voltage Vr

= V2 for phase A, the transmitted power P together with the reactive power Q supplied by

the receiving end, the same line current I together with the voltage Vq injected by the

SSSC in phase A, and the reactive power the SSSC exchanged with the ac system for no

compensation (Vq=0), purely reactive compensation for positive power flow (Vq = IX -

|Vs-Vr|), and purely reactive compensation for negative flow (Vq = IX + |Vs-Vr|). Apart

from the stable operation of the system with both positive and negative power flows, it

can also be observed that the SSSC has, as expected (sub cycle) response time and that

the transition from positive to negative power flow through zero voltage injection is

perfectly smooth and continuous.

Apart from the bi-directional compensation capability, the basic operation

characteristic of the SSSC also suggests a significant difference between the behaviors of

SSSC and the series capacitor under the condition of variable line reactance that the

reader should note. The gist of this difference is that the SSSC could not be tuned with

any finite line inductive to have a classical series resonance (at which the capacitive and

inductive would be equal) at the fundamental frequency, because the voltage across the

line reactance would, in all practical cases, be greater than, and this compensating voltage



is set by the control and it is independent of network impedance (and, consequently, line

current) changes. That is, the voltage Vx across an ideal line of reactance X (R=0) at a

fixed δ is the function of only the compensating voltage Vq injected by the SSSC, that is

VX=IX=Vq + 2V SIN δ/2 ------------------------------------------ (4.20)

Where again V is the ac system (l-n) voltage and δ is the transmission angle. As (4.20)

shows, Vx can be equal to Vq only if δ=0, in which case the transmission would be

controlled entirely by the SSSC as if it were a generator and the line current would be

restricted to the operating range of 0≤ I ≤

. (It should be noted that the SSSC would

require an external dc power supply for the replenishment of its internal losses to be able

to establish power transmission at zero transmission angle.)

Immunity to sub synchronous resonance:-

The desired function of the series capacitor is to provide a compensating

voltage opposite to that which develops across the reactive line impedance at the

fundamental system frequency to increase the transmitted power. However, the

impedance of the series capacitor is a function of frequency and thus it can cause

resonance at various subsynchronous frequencies with other reactive impedance present

in the network. As discussed in previous sections, in recent years there has been

considerable progress made in modifying the inherent frequency band by a parallel

connected thyristor-controlled reactor, making it immune to subsynchronous resonance

with the use of electronic control.

In contrast to a series capacitor and an impedance type series compensator, the

voltage-sourced converter-based static synchronous series compensator is essentially an

AC voltage source which, with a constant DC voltage and fixed control inputs, would

operate only at the selected (fundamental) output frequency, and its output impedance at

other frequencies would theoretically be zero. In practice, the SSSC does have relatively

small inductive output impedance provided by the leakage inductance of the series

insertion transformer. The voltage drop across this impedance is automatically



compensated at the fundamental frequency when the SSSC provided capacitive line

compensation.

A sufficient condition for the SSSC to remain neutral to sub synchronous

oscillations, independently of system conditions, is to keep its instantaneous output

voltage vector (representing the output voltage of the converter) in quadrature with the

instantaneous line current vector.

SSSC RATING:-

The SSSC can provide capacitive or inductive compensating voltage independent of

the line current independent of the line current upto its specified current rating. The

voltage ampere rating of the of the SSSC is simply the product of the maximum line

current and the maximum series compensating voltage.

VA = ImaxVqmax

4.5 APPLICATIONS OF SSSC:-

A SSSC is an advanced version of controlled series compensation that is based on

VSC and the use of GTOs instead of thyristors. There are many technical advantages of a

SSSC over a TCSC. However, the application of a SSSC would depend on the techno-

economic evaluation and proven reliability based on operating experience. A major

drawback with SSSC is the need

for a coupling transformer (and an intermediate transformer if multiples converters are

used). In contrast, TCSCs don't require any magnetic devices or coupling transformers.

However, the harmonics are better controlled with a SSSC. A SSSC requires protection

against over currents. A high speed electronic Thyristor Bypass Switch (TBS) is installed

in parallel with the converter terminals. When an over current is detected, it operates

quite fast. In case the system fault is not cleared by primary protection, then, the TBS is

protected by a parallel connected low voltage breaker (LVB) which by- passes the TBS in

about 6 cycles. If LVB fails to close when required, then its breaker failure protection

closes the high side breaker (HSB) that by passes the SSSC. After the fault is cleared, the

SSSC is reinserted into the line by opening the LVB. The improvements in the power

(semiconductor) device characteristics and the reduction in the costs would spur the

applications of SSSC in place of TCSC.



CHAPTER 5

INTRODUCTION TO MATLAB



5. INTRODUCTION TO MATLAB

5.1 MATLAB

MATLAB is a software package for computation in engineering, science, and applied

mathematics. It offers a powerful programming language, excellent graphics, and a wide

range of expert knowledge. MATLAB is published by and a trademark of The Math

Works, Inc.The focus in MATLAB is on computation, not mathematics: Symbolic

expressions and manipulations are not possible (except through the optional Symbolic

Toolbox, a clever interface to maple). All results are not only numerical but inexact,

thanks to the rounding errors inherent in computer arithmetic. The limitation to numerical

computation can be seen as a drawback, but it’s a source of strength too: MATLAB is

much preferred to Maple, Mathematical, and the like when it comes to numeric’s.

On the other hand, compared to other numerically oriented languages like C++

and FORTRAN, MATLAB is much easier to use and comes with a huge standard

library.1 the unfavorable comparison here is a gap in execution speed. This gap is not

always as dramatic as popular lore has it, and it can often be narrowed or closed with

good MATLAB programming (see section 6). Moreover, one can link other codes into

MATLAB, or vice versa, and MATLAB now optionally supports parallel computing.

Still, MATLAB is usually not the tool of choice for maximum-performance Computing.

The MATLAB niche is numerical computation on workstations for non-experts

in computation. This is a huge niche—one way to tell is to look at the number of

MATLAB-related books on mathworks.com. Even for supercomputer users, MATLAB

can be a valuable environment in which to explore and fine-tune algorithms before more

laborious coding in another language. Most successful computing languages and

environments acquire a distinctive character or culture. In MATLAB, that culture

contains several elements: an experimental and graphical bias, resulting from the

interactive environment and compression of the write-compile-link-execute analyze

cycle; an emphasis on syntax that is compact and friendly to the interactive mode, rather



than tightly constrained and verbose; a kitchen-sink mentality for providing functionality;

and a high degree of openness and transparency (though not to the extent of being open

source software).The component that is the heart of MATLAB is called the Command

Window, located on the 1Here and elsewhere I am thinking of the “old FORTRAN,”

FORTRAN 77. This is not a commentary on the usefulness of FORTRAN 90 but on my

ignorance of it.

5.2 SIMULINK:-

Simulink (Simulation and Link) is an extension of MATLAB by Math works Inc. It

works with MATLAB to offer modeling, simulating, and analyzing of dynamical systems

under a graphical user interface (GUI) environment. The construction of a model is

simplified with click-and-drag mouse operations. Simulink includes a comprehensive

block library of toolboxes for both linear and nonlinear analyses. Models are hierarchical,

which allow using both top-down and bottom-up approaches. As Simulink is an integral

part of MATLAB, it is easy to switch back and forth during the analysis process and thus,

the user may take full advantage of features offered in both environments. This tutorial

presents the basic features of Simulink and is focused on control systems as it has been

written for students in my control system

SimPowe Systems:-

SimPowerSystems is a modern design tool that allows scientists and engineers to

rapidly and easily build models that simulate power systems. SimPowerSystems uses the

Simulink environment, allowing you to build a model using simple click and drag

procedures. Not only can you draw the circuit topology rapidly, but your analysis of the

circuit can include its interactions with mechanical, thermal, control, and other

disciplines. This is possible because all the electrical parts of the simulation interact with

the extensive Simulink modeling library. Since Simulink uses MATLAB® as its

computational engine, designers can also use MATLAB toolboxes and Simulink block

sets. SimPowerSystems and Sim Mechanics share a special Physical Modeling block and

connection line interface.



SimPowerSystems Libraries:-

You can rapidly put SimPowerSystems to work. The libraries contain models of

typical power equipment such as transformers, lines, machines, and power electronics.

These models are proven ones coming from textbooks, and their validity is based on the

experience of the Power Systems Testing and Simulation Laboratory of Hydro-Québec, a

large North American utility located in Canada, and also on the experience of Ecolab de

Technologies Superiors and University Laval.

The capabilities of SimPowerSystems for modeling a typical electrical system are

illustrated in demonstration files. And for users who want to refresh their knowledge of

power system theory, there are also self-learning case studies. The SimPowerSystems

main library, power lib, organizes its blocks into libraries according to their behavior.

The power lib library window displays the block library icons and names. Double-click a

library icon to open the library and access the blocks. The main SimPowerSystems power

lib library window also contains the Powerful block that opens a graphical user interface

for the steady-state analysis of electrical circuits.



CHAPTER 6

TWO MACHINE POWER SYSTEM MODELLING



6. TWO MACHINE POWER SYSTEM MODELLING

6.1 INTRODUCTION:-

The dynamic performance of SSSC is presented by real time voltage and current

waveforms. Using MATLAB software the system shown in Fig 6.1 has been obtained. In

the simulation one SSSC has been utilized to control the power flow in the 500 KV

transmission systems. This system which has been made in ring mode consisting of 4

buses (B1 to B4) connected to each other through three phase transmission lines L1, L2-

1, L2-2 and L3 with the length of 280, 150, 150 and 5 km respectively. System has been

supplied by two power plants on either side.

Fig 6.1 Two machine power system without SSSC

First, power system with two machines and four buses has been simulated in

MATLAB environment, and then powers and voltages in all buses have been obtained.

Using obtained results bus-2 has been selected as a candidate bus to which the SSSC be



installed. Therefore, the simulation results have been focused on bus-2. The simulation

circuits with and without SSSC has been shown in fig 6.1 and fig 6.2 respectively.

By using SSSC in two machine power system across bus -2 the oscillations

magnitude during transient period is decreased well, thus improving the transient stability.

We already know that by using SSSC we can control active and reactive power i.e. we can

either inject or absorb by making output voltage of the SSSC in quadrature with line

current. In the present case the desired values of active and reactive powers are 4 p.u and -

6 p.u. so by making use of correct control strategy of the SSSC we can get the desired

values. The converter circuit of the SSSC is shown in fig 6.3.

Fig 6.2 Two machine power system with SSSC



6.2 CONTROL STRATEGY OF SSSC:-

SSSC is nothing but a voltage source converter such that required output

voltage (A.C) is obtained from a DC source. The gating signals for the igbt’s are

obtained from the pwm generator such that the input to it is given from control circuit

shown in the fig 6.4. The voltage and current from the concerned bus 2 are sampled and

and taken in control circuit in order to get the out1 ,out2 and out 3 which are given to

pwm generator. For reason of economics and performance, voltage-sourced converters

are often performed over current-sourced converters for FACTS applications , since the

direct current in a voltage-sourced converter flows in either direction, the converter

valves have to be bidirectional. On the dc side, voltage is unipolar and is supported by a

capacitor (it is not used in simulation circuit).This capacitor is large enough to at least

handle a sustained charge/discharge current that accompanies the switching sequence of

the converter values and shifts in phase angle of the switching without significant change

in the dc voltage.

In the dc side that the dc current flows in either direction and that it can

exchange dc power with the constant dc system in either direction. Shown on the ac side

is the generator ac voltage connected to the ac system via an inductor. Being an ac

voltage source with low internal impedance, a series inductive with the ac system

(usually through a series inductor and/a transformer) is essential to ensure that dc

capacitor is not short circuited and discharged rapidly into a capacitive loads such as a

transmission line. Also an ac filter is necessary following the series inductive interface to

limit the consequent current harmonics entering the system side.



Fig 6.3 Converter circuit of SSSC

The voltage sampled from bus 2 is given to the discrete 3 – phase PLL in

order to obtain the concerned phase angle. The voltage, current which are in abc reference

are transformed to dq reference by using abc to dq transformation and Pact and Qact are

obtained. Actual and reference values of active and reactive powers are compared and the

generated error is minimized by using the parameters in PI controller. The output

parameter obtained from the PI controller is again transformed to abc reference by using

dq to abc transformation. The generated output is compared with the current samples

taken from the output of SSSC such that out1 ,out2 and out3 are generated which are

given to pwm generator. The output voltage and current waveforms with and without

SSSC are shown in fig 6.5



Fig 6.4 control circuit of SSSC

Basically a voltage –sourced converter generates ac voltage for a dc voltage. It

is for historical reasons, offten referred to as an inverter, Even though it has the capability

to transfer the power in either direction. with a voltage source converter, the magnitude,

the phase angle and the frequency of output can be controlled. The voltage ,current

,active and reactive powers are measured by using following measurement circuit.



WITHOUT SSSC

WITH SSSC

Fig 6.5 voltage and current waveforms with and without SSSC



The active and reactive powers with and without SSSC is shown in fig 6.6

WITHOUT SSSC

WITH SSSC

Fig 6.6 active and reactive powers with and without SSSC



By using SSSC the nature of transient stability is increased and damping time decreased to some

extent thus enhancing the power system stability. Generally just after load is charged or during

switching transient oscillations occurs even we use SSSC but the magnitude of the oscillations is

less with using SSSC. However controlling systems in power plants 1 and 2 such as governor,

PSS and other stabilizing units are used for damping these oscillations.



CONCLUSION

It has been found that the SSSC is capable of controlling the flow of power at

a desired point on the transmission line. It is also observed that the SSSC injects a fast

changing voltage in series with the line irrespective of the magnitude and phase of the

line current. Based on obtained simulation results the performance of the SSSC has been

examined in a simple two-machine system simply on the selected bus-2, and applications

of the SSSC will be extended in future to a complex and multimachine system to

investigate the problems related to the various modes of power oscillation in the power

systems.



BIBLIOGRAPHY

1. UNDERSTANDING FACTS by NARAIN G HINGORANI and LASZLO GUIGOI.

2. FACTS by KR PADIYAR.

3. Websites referred: - www.ieee.org

www.siemens.com

www.wikipedia.com

http://www.ieee.org/

http://www.siemens.com/

http://www.wikipedia.com/

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Power System Stability Enhancement by Using Static Synchronous Series Compensator

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