Optimum Allocation of Reactive Power in Real-Time Operation under Deregulated Electricity Market

  • Published : 2009.09.01


Deregulation in power industry has made the reactive power ancillary service management a critical task to power system operators from both technical and economic perspectives. Reactive power management in power systems is a complex combinatorial optimization problem involving nonlinear functions with multiple local minima and nonlinear constraints. This paper proposes a practical market-based reactive power ancillary service management scheme to tackle the challenge. In this paper a new model for voltage security and reactive power management is presented. The proposed model minimizes reactive support cost as an economic aspect and insures the voltage security as a technical constraint. For modeling validation study, two optimization algorithm, a genetic algorithm (GA) and particle swarm optimization (PSO) method are used to solve the problem of optimum allocation of reactive power in power systems under open market environment and the results are compared. As a case study, the IEEE-30 bus power system is used. Results show that the algorithm is well competent for optimal allocation of reactive power under practical constraints and price based conditions.


  1. Nidul Sinha, Loi Lei Lai and Palash Kumar Ghosh, 'GA Based Algorithm for Optimum Allocation of Reactive Power under Deregulated Environment,' IEEE DRPT2008 Conference, April 2008 Nanjing China
  2. S.K. Parida, S.N. Singh and S.C. Srivastava, 'Voltage Security Constrained Localized Reactive Power Market,' 0-7803-9525-5/06/$20.00 ©2006 IEEE
  3. El-Samahy, K. Bhattacharya, and C. A. Canizares, 'A Unified Framework for Reactive Power Management in Deregulated Electricity Markets,' IEEE, PSCE 2006, pp. 901-907
  4. Alex D. Papalexopoulos, George A. Angelidis, 'Reactive Power Management and Pricing in the California Market,' IEEE MELECON, Benalmadena (Malaga), Spain, May 2006, pp. 902-905
  5. Lamont JW, Fu J. , 'Cost analysis of reactive power support,' IEEE Trans Power Syst. 1999;14(3):890–896
  6. X.J. Lin, C.W. Yu and C.Y. Chung, 'Pricing of reactive Power Support Ancillary Services,' IEE proc.-Gener. Transm. Distrib., vol. 152, no. 5, September2005, pp. 616-622
  7. Baughman ML, Siddiqi SN., 'Real time pricing of reactive power: theory and case study results,' IEEE Trans Power Syst 1991; 6(1):23–9
  8. Li YZ, David AK., 'Wheeling rates of reactive power flow under marginal cost pricing,' IEEE Trans. Power Syst. 1994; 9(3):1263–9
  9. Bhattacharya K, Zhong J., 'Reactive power as an ancillary service,' IEEE Trans Power Syst 2001; 16(2):294–300
  10. Zhong J, Bhattacharya K., 'Toward a competitive market for reactive power,' IEEE Trans Power Syst 2002;17(4):1206–15
  11. Hao S., 'A reactive power management proposal for transmission operators,' IEEE Trans Power Syst 2003; 18(4):1374–80
  12. Silva EL, Hedgecock JJ, Mello JCO, Luz JCF., 'Practical cost-based approach for the voltage ancillary service,' IEEE Trans Power Syst 2001; 16(4):806-12
  13. X.J. Lin, C.W. Yu, A.K. David, C.Y. Chung, H. Wu, N. Xu, 'A novel market-based reactive power management scheme,' ELSEVIER Electrical Power and Energy Systems 28 (2006) 127-132
  14. R.S. Salgado, and M.R. Irving, 'Framework for Analysis of reactive Power Dispatch in Energy Pools,' IEE Proc.-Gener. Transm. Distrib., vol. 151, no. 2, March 2004, pp. 1047-1052
  15. Wen-Chen Chu, Bin-Kwie Chen and chung Liao, 'Allocation the Cost of Reactive Power purchased in an Ancillary Service Markets by Modified Y-Bus Matrix Method,' IEEE Transaction on Power Systems, vol. 19, no. 1, February 2004, pp. 174-179
  16. Julian Barquin Gil, and et al, 'Reactive Power Pricing: a Conceptual Framework Remuneration and charging Procedure,' IEEE Transaction on Power Systems, vol. 15, no. 2, May 2000, pp. 483-489
  17. X.J. Lin and A.K, David and C.W. Yu, 'Reactive Power optimization with Voltage stability consideration in Power Market Systems,' IEE proc.-Gener. Transm. Distrib., vol. 150, no. 3, July 2003, pp. 305-310
  18. M.J. Rider and V.L. Paucar, 'Application of Nonlinear Reactive Power Pricing Model for Competitive Electric Markets,' IEE proc.-Gener. Transm. Distrib. vol. 151, no. 3, May 2004, pp. 407-414
  19. Li Gengyin, Zhou Ming, Yang Juan, and Sun Liying, 'Research on Procurement Strategy of Reactive Power as Auxiliary Service in Power Markets,' IEEE International Conference on Electric Utility Deregulation, Restructuring and Power Technologies (DRPT2004), pp. 349-354, April 2004
  20. W. Rosehart, C. Cafiizares, and V. H. Quintana, 'Optimal Power Flow Incorporating Voltage Collapse Constraints,' Proc. of the 1999 IEEE/PES Summer Meeting, Edmonton, Alberta, July 1999, pp. 820-825
  21. B. Mozafari, T.amraee, A. M. Ranjbar, M. Mirjafari, and A. R. Shirani, 'Optimal Reactive Power Dispatch in a Joint Active / Reactive Market Model,' IEEE, International Conference on Power System Technology, 2006
  22. Q. H. Wu, Y. J. Cao, and J. Y. Wen, 'Optimal reactive power dispatch using an adaptive genetic algorithm,' Int. J. Elect. Power Energy Syst., vol. 20, pp. 563-569, Aug. 1998