Two-stage stochastic approach for spinning reserve allocation in dynamic economic dispatch

A novel approach was proposed to allocate spinning reserve for dynamic economic dispatch. The proposed approach set up a two-stage stochastic programming model to allocate reserve. The model was solved using a decomposed algorithm based on Benders’ decomposition. The model and the algorithm were applied to a simple 3-node system and an actual 445-node system for verification, respectively. Test results show that the model can save 84.5 US $ cost for the testing three-node system, and the algorithm can solve the model for 445-node system within 5 min. The test results also illustrate that the proposed approach is efficient and suitable for large system calculation.

[1]  S. M. Shahidehpour,et al.  Short-term generation scheduling with transmission and environmental constraints using an augmented Lagrangian relaxation , 1995 .

[2]  John R. Birge,et al.  Introduction to Stochastic Programming , 1997 .

[3]  Whei-Min Lin,et al.  Bid-based dynamic economic dispatch with an efficient interior point algorithm , 2002 .

[4]  Xiaohua Xia,et al.  Optimal dynamic economic dispatch of generation: A review , 2010 .

[5]  J.-P. Chiou,et al.  A variable scaling hybrid differential evolution for solving large-scale power dispatch problems , 2009 .

[6]  John R. Birge,et al.  Introduction to Stochastic programming (2nd edition), Springer verlag, New York , 2011 .

[7]  Roy Billinton,et al.  Spinning reserve allocation using response health analysis , 1996 .

[8]  Xueshan Han,et al.  A novel method for advanced dispatch considering response risk constraints , 2009, 41st North American Power Symposium.

[9]  Jianxue Wang,et al.  Operating reserve model in the power market , 2005 .

[10]  M. A. Abido Environmental/economic power dispatch using multiobjective evolutionary algorithms , 2003 .

[11]  M. Fotuhi-Firuzabad,et al.  Optimal Scheduling of Spinning Reserve Based on Well-Being Model , 2007, IEEE Transactions on Power Systems.

[12]  Hoay Beng Gooi,et al.  Dynamic Economic Dispatch: Feasible and Optimal Solutions , 2001 .

[13]  W. Wood Spinning Reserve Constrained Static and Dynamic Economic Dispatch , 1982, IEEE Transactions on Power Apparatus and Systems.

[14]  Walter O. Stadlin Economic Allocation of Regulating Margin , 1971 .

[15]  F. Bouffard,et al.  Market-clearing with stochastic security-part II: case studies , 2005, IEEE Transactions on Power Systems.

[16]  Ali Ahmadi-Khatir,et al.  A probabilistic spinning reserve market model considering DisCo different value of lost loads , 2011 .

[17]  Mohammad Shahidehpour,et al.  Generation scheduling with thermal stress constraints , 2003 .

[18]  Roy Billinton,et al.  Reliability evaluation of power systems , 1984 .

[19]  Hoay Beng Gooi,et al.  Effective economic dispatch model and algorithm , 2007 .

[20]  P. Marannino,et al.  Advance Dispatch Procedures for the Centralized Control of Real Power , 1986, IEEE Power Engineering Review.

[21]  Robert M. Freund,et al.  Benders' Decomposition Methods for Structured Optimization, including Stochastic Optimization , 2001 .

[22]  P. Attaviriyanupap,et al.  A Hybrid EP and SQP for Dynamic Economic Dispatch with Nonsmooth Fuel Cost Function , 2002, IEEE Power Engineering Review.

[23]  T.A.A. Victoire,et al.  Reserve constrained dynamic dispatch of units with valve-point effects , 2005, IEEE Transactions on Power Systems.

[24]  M. Fotuhi-Firuzabad,et al.  Customer choice of reliability in spinning reserve procurement and cost allocation , 2008, 2008 IEEE Canada Electric Power Conference.

[25]  Dale Ross,et al.  Dynamic Economic Dispatch of Generation , 1980, IEEE Transactions on Power Apparatus and Systems.