Congestion and Price Prediction Under Load Variation Fangxing (Fran) Li Rui (Ray) Bo EECS Department University of Tennessee, Knoxville July 26, 2009
1
Problem Statement Step change phenomenon LMP at Five Buses 40 35 LMP ($/MWh)
30 25 20 15 10 500
600
700
800
900
1000
Load (MW) A
B
C
D
E
How to predict the Critical Load Levels (CLLs)?
Repetitive OPF runs: Brute-force Desire: more efficient and effective approach
2
Simplex-like Method Case 1 O
O O’ O’’ Case 2
I
Simplex Method
Proposed Simplex-like Method 3
Case Study
PJM 5 bus system
4
Case Study (Cont’)
Marginal Units and Congestions versus Load
5
Performance Speedup Binary Search
Average-case performance:
O(log(n) ) 6
Conclusions
Fits in lossless DCOPF framework A systematic and analytical approach is proposed Within two adjacent CLLs: MG sensitivity are shown to be constants; LMPs are constants Critical load levels are predicted New binding constraints and new unbinding constraints are identified Very efficient in computation. Only the initial DCOPF solution is needed, no more DCOPF run! 7
Congestion and Price Prediction Under Load Variation
Fangxing (Fran) Li. Rui (Ray) Bo. EECS Department. University of Tennessee, Knoxville. July 26, 2009. 2009 IEEE PES General Meeting, Calgary, Canada ...
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