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Lecture 4 Power System Operation
Professor Tom OverbyeDepartment of Electrical and
Computer Engineering
ECE 476
POWER SYSTEM ANALYSIS
2
Reading and Homework
• Moving 1st Exam? Oct 11 or 13?• For lectures 4 through 6 please be reading Chapter 4
– we will not be covering sections 4.7, 4.11, and 4.12 in detail though you should still at least skim those sections.
• HW 1 is 2.9, 22, 28, 32, 48; due Thursday 9/8• For Problem 2.32 you need to use the PowerWorld Software. You can
download the software and cases at the below link; get version 15.http://www.powerworld.com/gloversarma.asp
Direct PowerWorld download page is
http://www.powerworld.com/DemoSoftware/GloverSarmaSimdwnldv15.asp
3
State Variation in Electric Rates
4
The Goal: Customer Choice
5
The Result for California in 2000/1
OFF
OFF
6
The California-Enron Effect
Source : http://www.eia.doe.gov/cneaf/electricity/chg_str/regmap.html
RI
AK
electricityrestructuring
delayedrestructuring
no activitysuspended
restructuring
WA
OR
NV
CA
ID
MT
WY
UT
AZ
CO
NM
TX
OK
KS
NE
SD
NDMN
IA
WI
MO
IL IN OH
KY
TN
MS
LA
AL GA
FL
SC
NC
WVA VA
PA
NY
VT ME
MI
NH
MA
CTNJ
DEMD
AR
HI
DC
7
Natural Gas Boom, Bust and Boom
8
August 14th, 2003 Blackout
9
2007 Illinois Electricity Crisis
Two main electric utilities in Illinois are ComEd and Ameren Restructuring law had frozen electricity prices for ten years,
with rate decreases for many. Prices rose on January 1, 2007 as price freeze ended; price
increases were especially high for electric heating customers who had previously enjoyed rates as low as 2.5 cents/kWh
2009 average residential rate (in cents/kWh) is 9.08 in IL, 7.62 IN, 9.38 WI, 7.37 IA, 15.52 NY, 6.60 WA, 13.20 in CA, 9.82 US average
10
The Rise of Renewables
Currentlyabout 4%of our electric capacityis wind
The up/downsin 2001/2 and2003/4 werecaused by expiring tax
credits
11
The Smart Grid
• The term “Smart Grid” dates officially to the 2007 “Energy Independence and Security Act”, Title 13 (“Smart Grid”)• Use of digital information and control techniques• Dynamic grid optimization with cyber-security• Deployment of distributed resources including • Customer participation and smart appliances• Integration of storage including PHEVs• Development of interoperability standards
12
Smart Grid Perceptions
13
In the News: Local Electricity Suppliers
• On Monday (Aug 29) the News-Gazette had a story about alternative electricity suppliers finally entering the Ameren residential market
• For example, BlueStar Energy offers electricity at a fixed price of 5.175 cents/kWh versus Ameren at 5.646 cents/kWh.• There are other rate options as well so consumers need to shop around
for what works best
• You still pay some money to Ameren for the use of the wires, just not for energy
• Check out www.pluginillinois.org
14
In the News: Illinois Smart Grid Bill
• On Monday (Aug 29) legislation to “modernize” the Illinois electric grid was sent to Governor Quinn. He has promised to veto the bill. If vetoed it could be overriden in the fall veto session
• Supporters of the ten year, $3 billion effort, say the savings to consumers due to the installation of smart meters will more than offset the increase in rates.
• Quinn and other argue it gives too much money to ComEd and Ameren.
15
Power System Operations Overview
Goal is to provide an intuitive feel for power system operation
Emphasis will be on the impact of the transmission system
Introduce basic power flow concepts through small system examples
16
Power System Basics
All power systems have three major components: Generation, Load and Transmission/Distribution.
Generation: Creates electric power. Load: Consumes electric power. Transmission/Distribution: Transmits electric power
from generation to load. – Lines/transformers operating at voltages above 100 kV are
usually called the transmission system. The transmission system is usually networked.
– Lines/transformers operating at voltages below 100 kV are usually called the distribution system (radial).
17
Simulation of the Eastern Interconnect
Bloomington
Peoria
RockfordWaukegan
Zi on
Pl easant
Des Pl ai nes
El mhurst
I t asca
Tol l w ay
W407 ( Fermi )
Cherry Val ley
Wempleton
Paddock
Cl inton
Powerton
Ipava
D uck Creek
Brai dw ood
Shefi eld
Chiave
Munster
El ect r i c Junct i on
Pl ano
La Sal le
Lombard
Li sle
Col l ins
D resden
Lockport
East Frankfort
Goodings Grove
Tazwel l
Lake George
D unacr
Green Acres
Schahfer
Tower Rd
Babcock
Prai ri e
Racine
Michi gan Ci ty
El wood
Gulon
Sti l lwel l
O l i ve
Sycamore
Bondurant
Motezuma
Arnold
Se Pol k
H azel ton
Burr Oak
Pl ai sades
Benton Harbor
RN TOUL J
PERKN SRD
CH AMP ECH AMP W
LEVER RD
RISIN G
CH AMP TP
MAHOMET
WEED MAN
N LEROY
PAXTON E
RANTOUL
GIBSON C
GIBSONCP
H OOPESTN
VERMILON
TILTN EC
BUNSONVL
W TILTON
VERML 1
VERMILON
GILMAN
WATSEKA 17GOD LN D
CLTN TAP
CLT RT54
S CLN TN
R FAL; R
1346A TP
H OLLAND
MACOMB WH AMLTNAM
H AVAN A
IPAVA
CANTON
CUBA
KICKAPOO
MASON
H AVAN A SMASON CY
TAZEWELL
H ALLOCK
ED WARD S3
CAT MOSSFARGO
KEYSTONE
E PEORIA
RSW EAST
CAT SUB2
H INES
PION EERC
RAD N OR
CAT TAP
CAT MAP
CAT SUB1
EASTERNBURLIN 1G
MACOMBN E
N IOTA
N IOTA
BRLGTN 5
SB 18 5
E MOLIN E
SB 43 5
SB 112 5
KPECKTP5
SO.SUB 5
SB 85 5
SB 31T 5
SB 28 5
SB 17 5
SB 49 5
SB 53 5
SB 47 5SB 48 5
SB A 5
SB 70 5
SB 79 5
SB 88 5
SB 71 5
BVR CH 65 BVR CH 5 ALBAN Y 5
YORK 5
SAVAN NA5
GALEN A 5
8TH ST.5
LORE 5
SO .GVW.5
SALEM N5
ALBAN Y 6
GARD E;
H 71 ;BTH 71 ; B
H 71 ; R
R FAL; B
N ELSO; R
N ELSO;RT
STERL; B
D IXON;BT
MECCORD 3
CORD O;
LEECO;BP
MARYL; B
MEND O; T
STILL;RT
B427 ;1T
LANCA; R
PECAT; B
FREEP;
ELERO;BT ELERO;RT
LENA ; RLENA ; B
H 440 ;RT
H 440 ; R
STEWA; B
H 445 ;3B
Roscoe
Pi erpont
S PEC; R
FORD A; R
H arlem
Sand Park
N WT 138
BLK 138
ROR 138
JAN 138
ALB 138
N OM 138
D AR 138
H LM 138
POT 138 MRE 138
COR 138 D IK 138
BCH 138
Sabrooke
Bl awkhawk
Al pine
E. Rockford
Charles
Belvidere
B465
Marengo
WIB 138
WBT 138 ELK 138
N LG 138
N LK GV T
SGR CK5
BRLGTN 1
BRLGTN 2
SGR CK4
UN IVRSTY
UN IV NEU
WHTWTR5
WHTWTR4
WHTWTR3
SUN 138
VIK 138
LBT 138
TICH IGN PARIS WE
ALBERS-2
Green Lake
Sand Ridge
Chicago H eights
Burnham
Lansing
F-575
F-503Gl enwood
Bl oomPark ForestMatteson
Country Cl ub H i l l s
Woodhi l lU. Park
Bl ue Island
Wi lmington
Wi l ton Center
Frankfort
N Len
Brigg
D owners Groove
N Aurora
Hanover
Bart l et t
Church
Addi son
NordiG l endal e
Romeo
Wayne
Wi l l Co.
Jol i et
D umont 345 D umont 765
Kenzie Creek
JackSr
Cook - 345 kV
Cook - 765 kV
Twin Branch
BAIN 4
SOMERS
ST RITA
BIG BEND
MUKWON GO
N ED 138
N ED 161
LAN 138
EEN 138
CASVILL5TRK RIV5D UND EE 5
LIBERTY5
ASBURY 5
CN TRGRV5
JULIAN 5
MQOKETA5
E CALMS5
GR MN D 5
D EWITT 5
SBHYC5
SUB 77 5
SB 74 5SB 90 5
SB 78 5D AVN PRT5
SB 76 5
SB 58 5
SB 52 5
SB 89 5
IPSCO 5
IPSCO 3
D ENMARK5
N EWPORT5
H WY61 5
WEST 5
9 SUB 5
H ENRYCO5
VIELE 5
TRIVERS5
CARBID E5
TRIPP
Kenda
MPWSPLIT
WYOMIN G5
MT VERN5
BERTRAM5
H AZL S 5
BLKHAWK5
ED WARD S1
JEFF 5
WAPELLO5
APANOSE5
AD AIR
H ILLSIE5
PCI 5
BEVERLY5
FAIRFAX5
H ILLS 5PARNEL 5POWESHK5
BEACON 5
EIC 5
BRD GPRT5
LUCAS 5
CRLRID G5
SB PIC 5
SB J IC 5
SB EIC 5
SB YIC 5
SB GIC 5
SB UIC 5
WASH BRN 5
UN IONTP5
EL FARM5
D R EN G 5
WTWEST 5
D RFN D RY5
MID PORT5
6 ST 5
VINTON 5
H IAWATA5
D YSART 5
TRAER 5
D R N E 5
LUND QST5
D RCOMP 5
H AMPTON 5
FRANKLN5BUTLER 5
M-TOWN 5
REASN OR5
N EWTON 5
JASPER 5
TIMBRCK5
McCook
Covert
93%B
MVA105%
B
MVA
18
Small PowerWorld Simulator Case
Bus 2 Bus 1
Bus 3Home Area
204 MW
102 MVR
150 MW
150 MW 37 MVR
116 MVR
102 MW 51 MVR
1.00 PU
-20 MW 4 MVR
20 MW -4 MVR
-34 MW 10 MVR
34 MW-10 MVR
14 MW -4 MVR
-14 MW
4 MVR
1.00 PU
1.00 PU
106 MW 0 MVR
100 MWAGC ONAVR ON
AGC ONAVR ON
Load withgreenarrows indicatingamountof MWflow
Usedto controloutput ofgenerator
Direction of arrow is used to indicatedirection of real power (MW) flow
Note thepower balance ateach bus
19
Power Balance Constraints
Power flow refers to how the power is moving through the system.
At all times in the simulation the total power flowing into any bus MUST be zero!
This is know as Kirchhoff’s law. And it can not be repealed or modified.
Power is lost in the transmission system.
20
Basic Power Control
Opening a circuit breaker causes the power flow to instantaneously(nearly) change.
No other way to directly control power flow in a transmission line.
By changing generation we can indirectly change this flow.
21
Transmission Line Limits
Power flow in transmission line is limited by heating considerations.
Losses (I2 R) can heat up the line, causing it to sag. Each line has a limit; Simulator does not allow you
to continually exceed this limit. Many utilities use winter/summer limits.
22
Overloaded Transmission Line
23
Interconnected Operation
Power systems are interconnected across large distances. For example most of North America east of the Rockies is one system, with most of Texas and Quebec being major exceptions
Individual utilities only own and operate a small portion of the system, which is referred to an operating area (or an area).
24
Operating Areas
Transmission lines that join two areas are known as tie-lines.
The net power out of an area is the sum of the flow on its tie-lines.
The flow out of an area is equal to
total gen - total load - total losses = tie-flow
25
Area Control Error (ACE)
The area control error is the difference between the actual flow out of an area, and the scheduled flow.
Ideally the ACE should always be zero. Because the load is constantly changing, each utility
must constantly change its generation to “chase” the ACE.
26
Automatic Generation Control
Most utilities use automatic generation control (AGC) to automatically change their generation to keep their ACE close to zero.
Usually the utility control center calculates ACE based upon tie-line flows; then the AGC module sends control signals out to the generators every couple seconds.
27
Three Bus Case on AGC
Bus 2 Bus 1
Bus 3Home Area
266 MW
133 MVR
150 MW
250 MW 34 MVR
166 MVR
133 MW 67 MVR
1.00 PU
-40 MW 8 MVR
40 MW -8 MVR
-77 MW 25 MVR
78 MW-21 MVR
39 MW-11 MVR
-39 MW
12 MVR
1.00 PU
1.00 PU
101 MW 5 MVR
100 MWAGC ONAVR ON
AGC ONAVR ON
Net tie flow is close to zero
Generationis automaticallychanged to matchchange in load
28
Generator Costs
There are many fixed and variable costs associated with power system operation.
The major variable cost is associated with generation. Cost to generate a MWh can vary widely. For some types of units (such as hydro and nuclear) it
is difficult to quantify. For thermal units it is much easier. These costs will
be discussed later in the course.
29
Economic Dispatch
Economic dispatch (ED) determines the least cost dispatch of generation for an area.
For a lossless system, the ED occurs when all the generators have equal marginal costs.
IC1(PG,1) = IC2(PG,2) = … = ICm(PG,m)
30
Power Transactions
Power transactions are contracts between areas to do power transactions.
Contracts can be for any amount of time at any price for any amount of power.
Scheduled power transactions are implemented by modifying the area ACE:
ACE = Pactual,tie-flow - Psched
31
100 MW Transaction
Bus 2 Bus 1
Bus 3Home Area
Scheduled Transactions
225 MW
113 MVR
150 MW
291 MW 8 MVR
138 MVR
113 MW 56 MVR
1.00 PU
8 MW -2 MVR
-8 MW 2 MVR
-84 MW 27 MVR
85 MW-23 MVR
93 MW-25 MVR
-92 MW
30 MVR
1.00 PU
1.00 PU
0 MW 32 MVR
100 MWAGC ONAVR ON
AGC ONAVR ON
100.0 MW
Scheduled100 MWTransaction from Left to Right
Net tie-lineflow is now100 MW
32
Security Constrained ED
Transmission constraints often limit system economics.
Such limits required a constrained dispatch in order to maintain system security.
In three bus case the generation at bus 3 must be constrained to avoid overloading the line from bus 2 to bus 3.
33
Security Constrained Dispatch
Bus 2 Bus 1
Bus 3Home Area
Scheduled Transactions
357 MW
179 MVR
194 MW
448 MW 19 MVR
232 MVR
179 MW 89 MVR
1.00 PU
-22 MW 4 MVR
22 MW -4 MVR
-142 MW 49 MVR
145 MW-37 MVR
124 MW-33 MVR
-122 MW
41 MVR
1.00 PU
1.00 PU
0 MW 37 MVR100%
100%
100 MWOFF AGCAVR ON
AGC ONAVR ON
100.0 MW
Dispatch is no longer optimal due to need to keep line from bus 2 to bus 3 from overloading
34
Multi-Area Operation
If Areas have direct interconnections, then they may directly transact up to the capacity of their tie-lines.
Actual power flows through the entire network according to the impedance of the transmission lines.
Flow through other areas is known as “parallel path” or “loop flows.”
35
Seven Bus Case: One-line
Top Area Cost
Left Area Cost Right Area Cost
1
2
3 4
5
6 7
106 MW
168 MW
200 MW 201 MW
110 MW 40 MVR
80 MW 30 MVR
130 MW 40 MVR
40 MW 20 MVR
1.00 PU
1.01 PU
1.04 PU1.04 PU
1.04 PU
0.99 PU1.05 PU
62 MW
-61 MW
44 MW -42 MW -31 MW 31 MW
38 MW
-37 MW
79 MW -77 MW
-32 MW
32 MW-14 MW
-39 MW
40 MW-20 MW 20 MW
40 MW
-40 MW
94 MW
200 MW 0 MVR
200 MW 0 MVR
20 MW -20 MW
AGC ON
AGC ON
AGC ON
AGC ON
AGC ON
8029 $/MWH
4715 $/MWH 4189 $/MWH
Case Hourly Cost 16933 $/MWH
System hasthree areas
Area lefthas onebus
Area right has onebus
Area tophas fivebuses
36
Seven Bus Case: Area View
System has40 MW of“Loop Flow”
Actualflowbetweenareas
Loop flow can result in higher losses
Area Losses
Area Losses Area Losses
Top
Left Right
-40.1 MW
0.0 MW
0.0 MW
0.0 MW
40.1 MW
40.1 MW
7.09 MW
0.33 MW 0.65 MW
Scheduledflow
37
Seven Bus - Loop Flow?
Area Losses
Area Losses Area Losses
Top
Left Right
-4.8 MW
0.0 MW
100.0 MW
0.0 MW
104.8 MW
4.8 MW
9.44 MW
-0.00 MW 4.34 MW
100 MW Transactionbetween Left and Right
Transaction has actually decreasedthe loop flow
Note thatTop’s Losses haveincreasedfrom 7.09MW to9.44 MW
38
Pricing Electricity
Cost to supply electricity to bus is called the locational marginal price (LMP)
Presently some electric makets post LMPs on the web In an ideal electricity market with no transmission
limitations the LMPs are equal Transmission constraints can segment a market, resulting
in differing LMP Determination of LMPs requires the solution on an
Optimal Power Flow (OPF)
39
3 BUS LMPS - OVERLOAD IGNORED
Bus 2 Bus 1
Bus 3
Total Cost
0 MW
0 MW
180 MWMW
10.00 $/MWh
60 MW 60 MW
60 MW
60 MW120 MW
120 MW
10.00 $/MWh
10.00 $/MWh
180 MW120%
120%
0 MWMW
1800 $/hr
Line from Bus 1 to Bus 3 is over-loaded; all buses have same marginal cost
Gen 1’scostis $10per MWh
Gen 2’scostis $12per MWh
40
LINE OVERLOAD ENFORCED
Bus 2 Bus 1
Bus 3
Total Cost
60 MW
0 MW
180 MWMW
12.00 $/MWh
20 MW 20 MW
80 MW
80 MW100 MW
100 MW
10.00 $/MWh
14.01 $/MWh
120 MW 80% 100%
80% 100%
0 MWMW
1921 $/hr
Line from 1 to 3 is no longer overloaded, but nowthe marginal cost of electricity at 3 is $14 / MWh
41
MISO and PJM
MISO and PJM arethe reliabilitycoordinatorscovering theelectric gridin Illinois. ComEd is inPJM, and Ameren is inMISO.
42
MISO ACE Chart from Aug 31, 2011
https://www.midwestiso.org/MarketsOperations/RealTimeMarketData/Pages/ACEChart.aspx
43
MISO LMPs 8/31/11 at 11:05 AM
www.midwestmarket.org