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ENERGY MANAGEMENT SYSTEM
Overview
October 10, 2011
Dr Shekhar KELAPURE
PSTI, Bangalore
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What we cover
Load Dispatch
Why EMS
What is EMS
Components of EMS
Network Applications Framework
State Estimator
Power Flow & Optimal Power Flow
Contingency Analysis
Load Forecast
Dr Shekhar Kelapure 2
What we do NOT cover
Generation Applications
Fault Analysis
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Load Dispatch
Objective -> Operate/Drive the Power System
so that it is Stable
Reliable
Secure
OPTIMAL
Operate Power System Efficiently
Whats so big
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Why Energy Management System (EMS)?
What is expected from the Dispatcher?
Stable/reliable/secure and optimal Operation
What the Dispatcher need to know? Complete knowledge about the system
(Parameters and models of the System components)
And Knowledge of the Situation Situation Awareness
(Real Time data of the system)
EMS Mechanism to capturesystem knowledge and situation awareness
And provide key indicators
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Mechanism to hold the system knowledge
Mechanism to capture real time data (meas)
Analog measurements (P, Q, V, F, )
Digital measurements (Status - CBs etc)
Validate the measurements
Analyze system performance using softwareprograms and provide key indicators
Display data/measurements on meaningfuldisplays
Send control commands
to operate the system efficiently
What is Energy Management System?
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DatabasesDatabases
Components of EMS
Presentation
Layer
(DISPLAYS)
Presentation
Layer
(DISPLAYS)
AutomaticGeneration Control
AutomaticGeneration Control
Economic DispatchEconomic Dispatch
Reserve/CostMonitoring
Reserve/CostMonitoring
Unit Commitment/Scheduling
Unit Commitment/Scheduling
Data Validation(State estimator)Data Validation
(State estimator)
Power Flow
Optimal Power Flow
Power Flow
Optimal Power Flow
Contingency AnalysisContingency Analysis
Fault AnalysisFault Analysis
Data Acquisition(SCADA)
Data Acquisition(SCADA)
Load ForecastLoad Forecast
6
Network Application Generation Application
Data Layer
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Network Application Functions
Objective Analyze Power System performance from
network (transmission and generation) perspective
To check
Base case violations
Optimal performance (Loss Minimization etc.)
Security Assessment & EnhancementFault Analysis
What we need
GOOD measurements Load, Gen, Flows info.
Transmission System Data Capacities, R, X, B, Tap etc
Generation Data Ratings & other parameters
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NA Functions used in EMS
State Estimator
To identify Anomalies
Power Flow & Optimal Power Flow
To carry out simulations
To get optimal set-points
Contingency Analysis
What if Analysis (N-1, N-2 etc)
Security Assessment and Enhancement
Assessment and corrective actions
Load Forecast Input to Simulations (NA functions)
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Objective :
Filter out Dead system components
Establish connectivity information and
Define the LIVE(Energized) network with
Inputs :
System Components Details,
Switch Statuses and the Measurements (V, Power Flows,
injections etc)
Output :
Live(energized) network details
Formation of networks (Island wise)
Mark viable islands (with Generation)
Network Topology
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COMPONENT DETAILS
GEN1 BUS1
GEN2 BUS2
GEN3 BUS3
SYNCON1 BUS6
SYNCON2 BUS8
TRANS1 BUS5 BUS6
TRANS2 BUS4 BUS9
LINE1 BUS1 BUS2
LINE2 BUS1 BUS5
LINE3 BUS2 BUS3
Network Topology Formation
SWITCH DETAILS
BUS1CB1
BUS1CB2
BUS1CB3
BUS1CB4BUS2CB1
BUS2CB2
BUS2CB3
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Network Topology Node Terminology
Secondary bus
Primary bus
BusCouplers
Incomer #2Incomer #1
Outgoing #1 Outgoing #2
Nodes withUnique ID
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1.060.002.32 - j 0.17
1.045-4.980.183 + j 0.295
1.055-15.67-0.061 - j 0.016
1.05-15.73-0.135 - j 0.058
1.035-16.47-0.149 - j 0.056
1.057-15.3-0.035 - j 0.018 1.052-15.51
-0.09 - j 0.058
1.01-12.73-0.942 + j 0.44
1.021-8.77
-0.076 - j 0.018
1.07-14.83-0.112 + j 0.068
1.09-13.6600 + j .172
1.02-10.34-0.478 + j 0.039
1.057-15.3-0.295 - j 0.166
1.57-j0.17
-1.53+j0.31
0.56-j0.003
0.73+j0.06
0.42+j0.02-0.40+j0.003
-0.73+j0.053-0.73+j0.053
0.63-j0.14
0.75+j0.06
-0.62+j0.16
-0.55+j0.0540.24-j0.36
-0.23+j0.045-0.71+j0.038
0.16-j0.003
-0.17+j0.017
0.077-j0.026
-0.076-j0.025
0.015+j0.01
0.17+j0.075
-0.17-j0.08
-0.015-j0.01 0.051+ j0.02
0.065+j0.038
DIGITAL DATA
BUS1CB1 CLOSE
BUS1CB2 OPEN
BUS1CB3 CLOSE
BUS1CB4 CLOSE
BUS2CB1 CLOSE
BUS2CB2 CLOSE
BUS2CB3 OPEN
BUS2CB4 CLOSE
BUS2CB5 CLOSE
BUS2CB6 CLOSE
BUS2CB7 OPEN
BUS3CB1 OPEN
ANALOG DATA
P, Q FLOWSGENERATIONS
VOLTAGES (ANGLES?)
FREQUENCY
Real-Time Data superimposed on Line Network
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CONNECTIVITY INFO
ISLAND #1
GEN1 BUS1
GEN2 BUS2
GEN3 BUS3
SYNCON2 BUS8
TRANS1 BUS5 BUS6
TRANS2 BUS4 BUS9
LINE1 BUS1 BUS2
LINE2 BUS1 BUS5
LINE3 BUS2 BUS4
ISLAND #2
LOAD12 BUS12
Network Topology - Output
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Objective :
Identify and correct Anomalies, Suppress Bad data
Refine the measurement set to form the State of the system
Inputs :
Energized System Components Details
(Connectivity + Parameters)
Switch Statuses (CBs, ISOs)
Measurements (V, Power Flows, Loads, Generations)Tuning Parameters (Tolerances, Statistical Info etc)
Output :
Estimated complex voltages,
Estimated P and Q injections and flowsError Analysis, List of Bad Data
Methodology : Weighted Least Square (WLS)
State Estimation
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State EstimatorRefine Measurements
System Info,Measurements and
switch statusesNetwork Topology
NO
Observable? Add PseudoMeasurements
Print resultsVoltage profile
Loads and Generations
Real/ reactive flowsMeas Vs EstimatesBad Data Processing
Identify/suppress bad data
acceptable?YES
YES
NO
State Estimator (SE) Data Flow
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Measurements
Bus Voltages Magnitudes (V) and Angles
Generations (Pgen and Qgen) and Loads (PL and QL)
Flows(real and reactive) at either end of lines/ transformerSize 4 x Nlines(Flows) + Nbus (V) + Ngen (Gen)
Output
State variables (complex voltages at all buses 2 x NBUS)
? How many measurements are required?
More measurements slower the estimation process
Less Measurements erroneous results (poor estimation)
Optimum - 1.5 to 2.8 times the state variables
Measurements
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1.062.32 - j 0.17
1.0450.183 + j 0.295
1.055
-0.061 - j 0.016
1.05-0.135 - j 0.058
1.035
-0.149 - j 0.056
1.057-0.035 - j 0.018 1.052
-0.09 - j 0.058
1.01-0.942 + j 0.44
1.021
-0.076 - j 0.018
1.07-0.112 + j 0.068
1.0900 + j .172
1.02-0.478 + j 0.039
1.057-0.295 - j 0.166
1.57-j0.17
-1.53+j0.31
0.56-j0.003
0.73+j0.06
0.42+j0.02-0.40+j0.003
-0.43+j0.053
0.63-j0.14
0.75+j0.06
-0.62+j0.16
-0.55+j0.0540.24-j0.360
0.23+j0.0450+j0
0.16-j0.003
-0.17+j0.017
0+-j0
0+j0
0.0+j0.0
0.17+j0.075
-0.17-j0.082.32 - j 0.17
0.0+j0.00.051+ j0.02
0.065+j0.038
INCONSISTANCIES
FLOWS
P15 AND P51
P23 AND P32Q34 AND Q43
LOADS
P12
Q12
V12
Identify Measurement Errors
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1.062.32 - j 0.17
1.0450.183 + j 0.295
0.0
-0.0 - j 0.0
1.05-0.135 - j 0.058
1.035
-0.149 - j 0.056
1.057-0.035 - j 0.018 1.052
-0.09 - j 0.058
1.01-0.942 + j 0.44
1.021
-0.076 - j 0.018
1.07-0.112 + j 0.068
1.0900 + j .172
1.02-0.478 + j 0.039
1.057-0.295 - j 0.166
1.57-j0.17
-1.53+j0.31
0.56-j0.003
0.+j0.0
0.42+j0.02-0.40+j0.003
-0.43+j0.053
0.63-j0.14
0.75+j0.06
-0.62+j0.16
-0.55+j0.0540.24-j0.360
0.23+j0.0450+j0
0.16-j0.003
-0.17+j0.017
0+-j0
0+j0
0.0+j0.0
0.17+j0.075
-0.17-j0.082.32 - j 0.17
0.0+j0.00.051+ j0.02
0.065+j0.038
Suppress Erroneous Measurements
REMOVE
INCONSISTANCIES
SUPRESS
P51
P23
Q34
LOADS
P12 = 0.0Q12 = 0.0
V12 = 0.0
IGNORE
OR
REPLACE WITH
APPROPRIATE VALUES
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1.062.32 - j 0.17
1.0450.183 + j 0.295
0.0-0.0 - j 0.0
1.05-0.135 - j 0.058
1.035-0.149 - j 0.056
1.01-0.942 + j 0.44
1.021-0.076 - j 0.018
1.07-0.112 + j 0.068
1.0900 + j .172
1.02-0.478 + j 0.039
1.057-0.295 - j 0.166
1.57-j0.17
-1.53+j0.31
0.56-j0.003
0.+j0.0
0.42+j0.02
-0.40+j0.003
-0.43+j0.053
0.63-j0.14
0.75+j0.06
-0.62+j0.16
-0.55+j0.054
0.24-j0.360
0.23+j0.0450+j0
0.16-j0.003
-0.17+j0.017
0+-j0
0+j0
0.0+j0.0
0.17+j0.075
-0.17-j0.080.0+j0.0
0.051+ j0.02
0.065+j0.038
1.057-0.035 - j 0.018 1.052
-0.09 - j 0.058
Check Observability
UNOBSERVABLE - Enable to estimate due to insufficient measurements
Calculations beyond the reach of available measurements
OBSERVABILITY
Insufficient
Measurements @
BUS10 and BUS11
??WHAT TO DO?? - - - - - - - - - - - - - - - - - - - - ADD PSUEDO MEASUREMENTS
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1.060.002.32 - j 0.17
1.044-4.980.183 + j 0.295
0.0-0.0 - j 0.0
1.05-15.73-0.135 - j 0.058
1.035-16.47-0.149 - j 0.056
1.057-15.3-0.035 - j 0.018 1.052-15.51
-0.09 - j 0.058
1.012-12.73
-0.942 + j 0.44
1.023-8.77-0.076 - j 0.018
1.07-14.83-0.112 + j 0.068
1.09-13.6600 + j .172
1.02-10.34-0.478 + j 0.039
1.057-15.3-0.295 - j 0.166
1.56-j0.17
-1.52+j0.31
0.56-j0.003
0.+j0.0
0.41+j0.02-0.38+j0.003
-0.63+j0.053
0.61-j0.14
0.65+j0.06
-0.59+j0.16
-0.55+j0.0540.18-j0.360
-0.17+j0.0450+j0
0.18-j0.003
-0.17+j0.017
0+-j0
0+j0
0.0+j0.0
0.17+j0.075
-0.17-j0.080.0+j0.0
0.051+ j0.02
0.065+j0.038
ESTIMATES :
Voltages
1 1.0600.00
1 1.044-4.980
1 1.012-12.73
1 1.020-10.34
Power Flows
1 2 1.56 0.170
1 5 0.65 +0.060
2 1 1.52 +0.31
2 4 0.55 0.003
2 5 0.41 +0.020
Estimation Output
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IDENTIFY BAD DATA
Voltages
Measu Estimat
1 1.060 1.060
2 1.045 1.044
3 1.010 1.012
4 1.020 1.0204
Power Flows
Meas Estimat
1 2 1.57 1.561 5 0.75 0.65
2 1 1.53 1.52
2 4 0.56 0.55
2 5 0.42 0.41
1.060.002.32 - j 0.17
1.044-4.980.183 + j 0.295
0.0-0.0 - j 0.0
1.05-15.73-0.135 - j 0.058
1.035-16.47-0.149 - j 0.056
1.057-15.3-0.035 - j 0.018 1.052-15.51
-0.09 - j 0.058
1.012
-12.73-0.942 + j 0.44
1.023-8.77-0.076 - j 0.018
1.07-14.83-0.112 + j 0.068
1.09-13.6600 + j .172
1.02-10.34-0.478 + j 0.039
1.057-15.3-0.295 - j 0.166
1.56-j0.17
-1.52+j0.31
0.56-j0.003
0.+j0.0
0.41+j0.02-0.38+j0.003
-0.63+j0.053
0.61-j0.14
0.65+j0.06
-0.59+j0.16
-0.55+j0.0540.18-j0.360
-0.17+j0.0450+j0
0.18-j0.003
-0.17+j0.017
0+-j0
0+j0
0.0+j0.0
0.17+j0.075
-0.17-j0.08
0.0+j0.00.051+ j0.02
0.065+j0.038
Bad Data Identification
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1.060.002.32 - j 0.17
1.045-4.980.183 + j 0.295
1.055-15.67-0.061 - j 0.016
1.05-15.73-0.135 - j 0.058
1.035-16.47-0.149 - j 0.056
1.057-15.3-0.035 - j 0.018 1.052-15.51-0.09 - j 0.058
1.01-12.73-0.942 + j 0.44
1.021-8.77-0.076 - j 0.018
1.07-14.83-0.112 + j 0.068
1.09-13.6600 + j .172
1.02-10.34
-0.478 + j 0.039
1.057-15.3-0.295 - j 0.166
1.57-j0.17
-1.53+j0.31
0.56-j0.003
0.73+j0.06
0.42+j0.02-0.40+j0.003
-0.73+j0.053
0.63-j0.14
0.75+j0.06
-0.62+j0.16
-0.55+j0.0540.24-j0.36
-0.23+j0.045-0.71+j0.038
0.16-j0.003
-0.17+j0.017
0.077-j0.026
-0.076-j0.025
0.015+j0.01
0.17+j0.075
-0.17-j0.08
-0.015-j0.01 0.051+ j0.02
0.065+j0.038
OMIT BAD MEAS
Power Flows
Meas Estimat
1 5 0.75 0.65
5 1 0.43 -0.63
Bad Data Suppression
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1.060.002.32 - j 0.17
1.045-4.980.183 + j 0.295
1.055-15.67
-0.061 - j 0.016
1.05-15.73-0.135 - j 0.058
1.035-16.47
-0.149 - j 0.056
1.057-15.3-0.035 - j 0.018 1.052-15.51
-0.09 - j 0.058
1.01-12.73-0.942 + j 0.44
1.021
-8.77-0.076 - j 0.018
1.07-14.83-0.112 + j 0.068
1.09-13.6600 + j .172
1.02-10.34-0.478 + j 0.039
1.057-15.3-0.295 - j 0.166
1.57-j0.17
-1.53+j0.31
0.56-j0.003
0.73+j0.06
0.42+j0.02-0.40+j0.003
-0.73+j0.053
0.63-j0.14
0.75+j0.06
-0.62+j0.16
-0.55+j0.0540.24-j0.36
-0.23+j0.045-0.71+j0.038
0.16-j0.003
-0.17+j0.017
0.077-j0.026
-0.076-j0.025
0.015+j0.01
0.17+j0.075
-0.17-j0.08
-0.015-j0.01 0.051+ j0.02
0.065+j0.038
Final Estimation
This becomes the base case for the remaining Network Analysis Functions
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Objective :
To compute the power flow in the branches
thru the complex voltages for given load/ generation profile
Inputs : system information
component parameters and connectivity
load and generation profile, voltage set-points
output : voltage profile (voltage magnitude and angles)
power flow calculations
loss calculation
violations (voltage magnitude and power flows)
MODELLING IS CRUCIAL
Power Flow
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Kirchhoffs current Law
Power Injection at ith
bus Si = Vi x Ii*
?? Set of Simultaneous Non-linear equations ??
Gauss Seidel (only for very small systems)Newton Raphson (Normally used)
Fast Decoupled (Modified Newton Raphson)
( )
( )jiijij
n
jjii
jiijij
n
j
jii
YVVQ
YVVP
+=
+=
=
=
sin
cos
1
1
Vi ithbus
To bus 1
V1
To bus j
Vj
To bus k
Vk
Yii
YijYi1 Yik
Power Flow Basic equations
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Non-linear eqns
Linearize & solve Iteratively
Characteristics
Quadratic Convergence
Normally 3-5 iterations
Reliable
Difficulty - Handling Large Matrices MISMATCHJACOBIANUPDATE
NBUSNBUSNBUS
NBUS
Q
P
V
QQV
PP
V
VV
QQV
PP
Q
P
=
=
1
Newton Raphson based Power Flow
Whats way out? Try de-coupling ?FDLF?
[ ] [ ] [ ]
[ ] [ ]QV
QV
PP
=
=
1
1
Assumptions
1. |V| ~ 1.0 p.u.Bus angle ) very small
2. Sin()=0
3. Cos()=1
4. R
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OUTPUT
SLK Pgen , Qgen
PV - , Qgen
PQ - , |V|
In additionBranch Pflow , Qflow
LOSSES PL , QL
SHUNT POWER
Power Flow, Inputs and Output
INPUTS
System DATA
LINE DETAILS(RXB)
XMER DETAILS(RXT)
GENERATOR DATA(QLT)
SHUNT DATA(B)
LOAD/GEN DATA
LOAD DATA
GENERATION DATA(PV)
TUNING PARAMETERS
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BUS WISE RESULTS IN TABULATED FORM
sr_no bus_no v_mag v_angle(rad) p_inj q_inj
1 1 1.0600 .0000 2.3238 -.1707
2 2 1.0450 -.0870 .1830 .2950
3 3 1.0100 -.2221 -.9420 .0440
4 4 1.0700 -.2589 -.1120 .0682
5 5 1.0900 -.2385 .0000 .1716
6 6 1.0186 -.1805 -.4780 .03907 7 1.0623 -.2385 .0000 .0000
8 8 1.0207 -.1532 -.0760 -.0180
9 9 1.0567 -.2673 -.2950 -.1660
10 10 1.0517 -.2708 -.0900 -.0580
11 11 1.0573 -.2671 -.0350 -.0180
12 12 1.0551 -.2735 -.0610 -.0160
13 13 1.0503 -.2745 -.1350 -.0580
14 14 1.0351 -.2875 -.1490 -.0560**********************************************************
BUS WISE DETAILED RESULTS
results for bus number 1
voltage(pu) 1.0600 angle(deg) -.0001
flow to (MW/MVAr) 2 1.5689 -.1744
flow to (MW/MVAr) 8 .7549 .0610
line charging (MVAr) -.0573
shunt injection (MVAr) .0000
Injections P/Q (MW/MVAr) 2.3238 -.1707
****************************************************************
results for bus number 2
voltage(pu) 1.0450 angle(deg) -4.9830
flow to (MW/MVAr) 1 -1.5259 .3056
flow to (MW/MVAr) 3 .7325 .0595
flow to (MW/MVAr) 6 .5629 -.0027
flow to (MW/MVAr) 8 .4136 .0243
line charging (MVAr) -.0917
shunt injection (MVAr) .0000
Injections P/Q (MW/MVAr) .1830 .2950
****************************************************************
Power Flow Results
SUMMARY
********************************************************
total generation P/Q (MW/MVAr) 2.5068 .4081
total load P/Q (MW/MVAr) -2.3730 -.3510
system losses P/Q (MW/MVAr) -.1339 -.5522
total charging (MVAr) .2830
total shunt power (MVAr) .2122
********************************************************
OR You can print them in IEEE Format exactly same as input
So that other programs can read it easily
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Objective : Optimize the system parameters
for better performance
Inputs : System information (parameters & connectivity)load and generation profile, set-points(V, t, MW)
component modeling and constraints
Output : Voltage profile (voltage magnitude and angles)Optimized power flow calculations
Violations (V, MW, MVAr) remaining
Major difficulty :Getting well-behaved objective function and
constraints as function of control variables
Optimal Power Flow
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Objective :
Minimize PLOSS
or Overload Alleviations
Subject to :
Satisfaction of load flow equations (Power Balance)
Limits on the control variables (set-points)Limits on line/transformer loading
Maintain Load Generation Balance
Control Variables :
Real Power Controls :
MW Gen, Tie-Line Flows, HVDC/FACTS set-points
Reactive Power Controls
Generator voltage set-points
VAr resources (Capacitors, Reactors, SVCs, Syn. condensers)
Transformer taps
HIGHLY NON-LINEAR PROBLEM Solved using Gradient, SLP or any other method
Problem Formulation
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LOSS REDUCTION
REAL POWER LOSSES
(UNOPTIMISED)BSH_14=0.0
0.2893 p.u.
1.060.003.36 + j 0.41
1.015-6.990.256 + j 0.322
0.98-23.6
-0.085 - j 0.022
0.97-23.7-0.189 - j 0.0812
0.94-24.88
-0.209 - j 0.078
0.983-23.0-0.049 - j 0.025 0.97-23.3
-0.126 - j 0.0812
0.96-18.88-1.319 + j 0.134
0.97-12.67
-0.106 - j 0.025
1.0-22.27-0.15 + j 0.13
1.037-20.2800 + j .24
0.96-15.03-0.67 + j 0.054
1.057-15.3-0.295 - j 0.166
2.28+j0.19
-2.18+j0.08
0.80+j0.08
1.05+j0.15
0.59+j0.09-0.57-j0.03
-1.02-j0.03
0.88-j0.10
1.08+j0.27
-0.87+j0.14
-0.77+j0.0280.33-j0.08
-0.32+j0.10-0.99+j0.065
0.226+j0.041
-0.23-j0.01
0.11+j0.039
-0.107-j0.036
0.022+j0.013
0.247+j0.11
-0.24-j0.104-0.07 - j 0.03
-0.022-j0.013 0.073+ j0.036
0.091+j0.062
BSH_14 = 0.00
C
Power Flow Base case
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LOSS REDUCTION
REAL POWER LOSSES
(UNOPTIMISED)
BSH_14=0.0
0.2893 p.u.
REAL POWER LOSSES
(OPTIMISED)
BSH_14=0.05
0.2854 p.u.
Loss Reduction
1.35%
1.060.003.35 + j 0.34
1.018-7.010.256 + j 0.322
0.995-23.42-0.085 - j 0.022
0.99-23.54-0.189 - j 0.0812
0.97-24.86-0.209 - j 0.078
0.997-22.8-0.049 - j 0.025 0.99-23.1
-0.126 - j 0.0812
0.96-18.82
-1.319 + j 0.134
0.98-12.68-0.106 - j 0.025
1.02-22.09-0.16 + j 0.13
1.048-20.1800 + j .24
0.97
-15.02-0.67 + j 0.054
1.057-15.3-0.295 - j 0.166
2.27+j0.15
-2.18+j0.13
0.80+j0.07
1.04+j0.14
0.59+j0.08-0.57-j0.018
-1.02-j0.006
0.88-j0.12
1.08+j0.25
-0.87+j0.14
-0.77+j0.0450.33-j0.08
-0.32+j0.10-0.99+j0.073
0.226+j0.028
-0.23-j0.003
0.10+j0.035
-0.106-j0.032
0.021+j0.009
0.244+j0.098
-0.24-j0.09
-0.07 - j 0.03
-0.021-j0.009 0.072+ j0.017
0.091+j0.061
CBSH_14 = 0.05
OPF Loss Minimization
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1.060.002.90 + j 0.28
1.025-5.820.68 + j 0.322
0.992-22.42-0.085 - j 0.022
0.98-22.5-0.189 - j 0.0812
0.97-24.86-0.209 - j 0.078
0.994-21.8-0.049 - j 0.025 0.98-22.1-0.126 - j 0.0812
0.97-17.61-1.319 + j 0.134
0.98-11.72-0.106 - j 0.025
1.014-21.11-0.16 + j 0.13
1.048-19.1200 + j .24
0.97-13.95
-0.67 + j 0.054
1.00-21.73-0.413 - j 0.232
1.897+j0.104
-1.835+j0.086
0.83+j0.083
1.059+j0.148
0.62+j0.09-0.60-j0.027
-0.952-j0.026
0.85-j0.11
1.00+j0.24
-0.84+j0.14
-0.79+j0.0330.32-j0.08
-0.31+j0.10-1.01+j0.068
0.23+j0.039
-0.23-j0.008
0.11+j0.039
-0.107-j0.036
0.022+j0.013
0.244+j0.113
-0.24-j0.10-0.07 - j 0.03
-0.021-j0.013 0.072+ j0.036
0.090+j0.062
Overload Min
REAL POWER FLOWS
(UNOPTIMISED)
1 2 2.27
1 5 1.08G1 = 3.35
G2 = 0.256
REAL POWER FLOWS
(OPTIMISED)
1 2 1.897
1 5 1.00
G1 = 2.90
G2 = 0.68
OPF Overload Alleviation
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1.060.003.35 + j 0.34
1.018-7.010.256 + j 0.322
0.995-23.42-0.085 - j 0.022
0.99-23.54-0.189 - j 0.0812
0.97-24.86-0.209 - j 0.078
0.997-22.8-0.049 - j 0.025 0.99-23.1
-0.126 - j 0.0812
0.96-18.82
-1.319 + j 0.134
0.98-12.68-0.106 - j 0.025
1.02-22.09-0.16 + j 0.13
1.048-20.1800 + j .24
0.97-15.02-0.67 + j 0.054
1.057-15.3-0.295 - j 0.166
2.27+j0.15
-2.18+j0.13
0.80+j0.07
1.04+j0.14
0.59+j0.08-0.57-j0.018
-1.02-j0.006
0.88-j0.12
1.08+j0.25
-0.87+j0.14
-0.77+j0.0450.33-j0.08
-0.32+j0.10-0.99+j0.073
0.226+j0.028
-0.23-j0.003
0.10+j0.035
-0.106-j0.032
0.021+j0.009
0.244+j0.098
-0.24-j0.09
-0.07 - j 0.03
-0.021-j0.009 0.072+ j0.017
0.091+j0.061
CBSH_14 = 0.05
Voltage Alleviation
Voltage V_14
(UNOPTIMISED)
BSH_14=0.0
0.94 p.u.
Voltage V_14
(OPTIMISED)
BSH_14=0.05
0.97 p.u.
OPF Voltage Alleviation
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Objective :
Evaluation of the system performance under outages
Inputs :System information (Parameters and connectivity info)
Load and generation profile, voltage set-points
Component modeling, Rating of the equipment
Output :
List of CRITICAL contingencies leading to violations
Approach :Approximate simulation
Contingency Analysis
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Ranking
(Based on Per. Indices)
SystemInformation and
Base CaseState Estimator
Print results
Ranking List
Power Flow results forTop ranked outages
AnalysisFull Evaluation of Severe
Outages
List of credibleoutages (having
more probability ofoccurrence)
Efficient Screening
Contingency Analysis Flow Chart
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Possible outages :
All lines, transformers, generators, shunts, loads
For 14 bus sample system,Total number of single component outages
17 lines + 3 transformers + 2 generators + 3 shunts
TOTAL = 25 + (?multiple outages?)
WHAT IF the System size is 1000 buses?
Challenge : 1500 AC load flow simulations of 1000 bus system
Take considerable time
Contingency Analysis possible contingencies
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Filtering/Screening Criteria
1. Probability of occurrence
2. Use of approx. analysis like
Power flow with less tolerance
Power flow 1 iteration, esp. for overload analysis
Network equivalents (outage impact - local)
Ranking SEVERE contingencies based on
performance indices
- overload index
- voltage index
Full AC power flow analysis
for top ranked contingencies
Processing Approach
1500
150
15
Possible CTGs
Credible CTGs
Severe
CTGs
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Normally used performance Indices
- overload index
- voltage index
- Based on Type of limit violated and % violations
Index = 1000 x Type of limit violated
+ (100 + %violation)
e.g. Emergency limit violated by 12%Index = 2112
2
1 max_
_ =
=
nline
j lj
lj
overloadi
f
fP
2
1 max_
_ =
=
nbus
jj
j
voltageiV
VP
Severity Indices
Limits Type
1 Normal
2 Emergency
3 LoadShed
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1.060.002.32 - j 0.17
1.045-4.980.183 + j 0.295
1.055-15.67-0.061 - j 0.016
1.05-15.73-0.135 - j 0.058
1.035-16.47-0.149 - j 0.056
1.057-15.3-0.035 - j 0.018 1.052-15.51
-0.09 - j 0.058
1.01-12.73-0.942 + j 0.44
1.021-8.77-0.076 - j 0.018
1.07
-14.83-0.112 + j 0.068
1.09-13.6600 + j .172
1.02-10.34-0.478 + j 0.039
1.057-15.3-0.295 - j 0.166
1.57-j0.17
-1.53+j0.31
0.56-j0.003
0.73+j0.06
0.42+j0.02-0.40+j0.003
-0.73+j0.053
0.63-j0.14
0.75+j0.06
-0.62+j0.16
-0.55+j0.0540.24-j0.36
-0.23+j0.045-0.71+j0.038
0.16-j0.003
-0.17+j0.017
0.077-j0.026
-0.076-j0.025
0.015+j0.01
0.17+j0.075
-0.17-j0.08
-0.015-j0.01 0.051+ j0.02
0.065+j0.038
Base Case Power Flow Results
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1.060.002.75 - j 0.13
1.025-5.91-0.217 - j 0.127
1.055-16.67-0.061 - j 0.016
1.05-16.73-0.135 - j 0.058
1.033-17.47-0.149 - j 0.056
1.056-16.3-0.035 - j 0.018 1.05-16.51
-0.09 - j 0.058
1.01-14.00-0.942 + j 0.20
1.012-9.66-0.076 - j 0.018
1.07
-15.84-0.112 + j 0.113
1.09-14.6700 + j .194
1.01-11.34-0.478 + j 0.039
1.053-16.3-0.295 - j 0.166
1.92+j0.09
-1.86+j0.10
0.53-j0.065
0.726-j0.04
0.38-j0.036-0.37+j0.06
-0.80+j0.045
0.66-j0.16
0.83+j0.09
-0.65+j0.18
-0.52+j0.1140.24-j0.085
-0.24+j0.097-0.70+j0.14
0.16-j0.011
-0.17+j0.026
0.077+j0.076
-0.0767-j0.025
0.016+j0.01
0.17+j0.078
-0.17-j0.07
-0.016-j0.01 0.053+ j0.03
0.067+j0.044
Example - Generator Outage
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1.060.002.33 - j 0.10
1.045-4.490.183 + j 0.219
1.055-17.4-0.061 - j 0.016
1.05-17.45-0.135 - j 0.058
1.034-18.06-0.149 - j 0.056
1.056-16.9-0.035 - j 0.018 1.05-17.05
-0.09 - j 0.058
1.01-13.25-0.942 + j 0.078
1.011-10.66-0.076 - j 0.018
1.07
-16.6-0.112 + j 0.117
1.09-15.100 + j .187
1.012-11.66-0.478 + j 0.039
1.055-16.8-0.295 - j 0.166
1.42-j0.14
-1.38+j0.25
0.75-j0.006
0.82+j0.05
0.0+j0.00.0+j0.0
-0.87+j0.074
0.38-j0.14
0.91+j0.09
-0.38+j0.15
-0.72+j0.0960.149-j0.42
-0.148+j0.046-0.79+j0.072
0.16-j0.003
-0.17+j0.025
0.076-j0.027
-0.0754-j0.026
0.014+j0.01
0.17+j0.079
-0.17-j0.08-0.046 - j 0.026
-0.014-j0.01 0.046+ j0.03
0.057+j0.046
Example Line outage
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Objective :
Evaluate optimal set-points to bring the system back to
normal state in post contingency scenario
Inputs :System information (Parameters and connectivity info)
Load and generation profile, voltage set-points
Component modeling and constraints
List of severe contingencies
output :
Post Contingency complex voltage profile (V, )
Power flow calculations
(after implementing optimized controls)
Two Approaches:Preventive Action
Corrective Action
Security Constrained Optimization
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Objective : min Overloads OR Voltage excursions
subject to : Satisfaction of load flow equations
Limits on the control variables (set-points)
Maintain Load Generation Balance
Minimum deviation in set-points
Pre and post outage(each severe outage) constraints
Control Variables :
1. Generator voltage setpoints
2. VAr resources (capacitors, reactors, SVCs, syn. condensers)
3. Transformer Taps
4. Generations (MW)
5. Tie-Line Flows, HVDC/FACTs controllers
SCO Preventive Action (PA)
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Challenges :
Single Big problem
Large number of constraints
(considering all outages together)
Conflicts between constraints
May lead to infeasible solution
Costly (Contingency may not happen at all)
Then WHY?
For some severe contingencies, post-outage controls
rescheduling may not be possible due to time limitations
Preventive Action - Challenges
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Objective : min Overloads OR Voltage excursions
subject to : Satisfaction of load flow equations
Limits on the control variables (set-points)
Maintain Load Generation Balance
Minimum deviation in set-points
Only Post outage constraints for specific contingency
Control Variables :1. Generator voltage setpoints
2. VAr resources (capacitors, reactors, SVCs, syn. condensers)
3. Transformer Taps
4. Generations
5. Tie-Line Flows, HVDC/FACTs controllers
SCO Corrective Action
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Advantages :
Since occurrence of contingency is NOT certain, keeping
post contingency plans ready is better (Preparedness)
Separate optimization problem for each outage case
Sometimes it may NOT be possible to make changes after
outage
Challenges :
Post contingency scenario Time is crucial
Whether to go for PA/CA?For severe contingencies where the execution of CA is not
possible, then check the probability and consequences and
implement PA
Corrective Action
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Load Forecast
Objective :
To get the accurate forecast of system/ area loads
Inputs :
Load History (Normally stored from actual SCADA data)
Loads are function Weather data
Effective weather forecast
Weather history data
Formula to get derived forecast variable
Planning Inputs
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Load Forecast Types
Short Term:
Forecast Load for next hour (for every 5 mins)
Forecasting Emergencies in Operations (Real Time)
Medium Term
Forecast Load for a week (hourly forecast)
Normally used in operations (daily planning)
Long Term
Forecast Load for > 1 Year (monthly forecast)
Normally used in Planning
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Load Forecast Methodologies
Regression Technique:
Based on Historical load data and weather forecast
Similar day forecast
Based on the similar weather day in history
Load Patterns (Save cases)
Saved Load curved in history can be used to forecast
With appropriate scaling/shifting etc
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Regression Analysis
Daily Load Curve :
Weekly Load Curve :
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Regression Technique
Important to Note :
Load curved are cyclic in nature over the week
(e.g. Load pattern is similar on all Mondays)
With appropriate Load growth (say 12% over year)
Thus Regression Technique can effectively be used
Challenges :
Loads are highly dependent on weather (Rains?)
Special days (festivals have different load patterns)
Planning impact can not be handled
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Similar Day Forecast
Advantage :
Takes care of weather dependencies
Procedure :
- Get the weather forecast for the selected day
- Identify similar weather day in history
(closest match)
- take it as base load and apply load growth
Easy and more accurate for the weather sensitive loads
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Load Forecast Applications
Power System Planning
As Pseudo Measurements in State Estimator
Power Flow Simulation Studies
Generation Applications
Unit Commitment
Hydrothermal Scheduling
Maintenance Scheduling
Awareness of worst situations and Readiness
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Load Forecast - Summary
Load Forecast highly dependent on
Historical Data
Weather Data/ forecast
Types of Load Forecast
All techniques (regression + similar day + load patterns) need to beeffectively used to get better results
Other techniques : Artificial Neural Network etc.
For Long terms Load Forecasting
Appropriate Load growth and the planning indices are crucial
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