Open Access Open Access  Restricted Access Subscription or Fee Access

Application of Differential Evolution in the Assessment of Capacity Benefit Margin

R. Rajathy, Dr. R. Gnanadass, Dr. K. Manivannan, Dr. Harish Kumar

Abstract


In a competitive electric power market, the knowledge of available transfer capability (ATC) can help power marketers,sellers and buyers in planning, operation and reserving transmission services. Capacity Benefit Margin is an important factor in the calculation of ATC. In this paper, a new algorithm using Differential Evolution is proposed to calculate CBM. Monte Carlo method is used to calculate necessary loss of load indices. The proposed algorithm is tested on Practical Indian utility 62 bus test system. The results of proposed algorithm are compared with those obtained using Particle Swarm Optimization (PSO). It is found that DE yields better results than PSO.


Keywords


Total Transfer Capability (TTC), Differential Evolution (DE), Capacity Benefit Margin (CBM), Loss- Of- Load Expectation (LOLE), Particle Swarm Optimization (PSO).

Full Text:

PDF

References


North American Electric Reliability Council (NERC), Transfer Capability Definitions and Determination, NERC Report, May 1995.

North American Electric Reliability Council (NERC), Available Transfer Capability Definitions and Determination, NERC Report, Princeton, New Jersey, June 1996.

G. Hamoud, “Assessment of Available Transfer capability Transmission systems”, IEEE Trans. power systems, vol. 15, no. 1, pp. 27-32, Feb.2000.

H. Chiang, A. H. Flueek, K. S. Shah and N. Balu, “CPFLOW: A practical tool for tracing power system steady-state stationary behavior due to load and generation variations, ” IEEE Trans. Power systems, vol. 10, no. 2,pp. 623-634, May 1995.

G. C. Ejebe, J. G. Waight, S. N. Manuel, and W. F. Tinney “Fast Calculation of linear available transfer capability, ” IEEE Trans. Power System, vol. 15, no. 3, pp. 1112-1116, Aug. 2000.

G. C. Ejebe, J. Tong, J. G. Waight, J. G. Frame, X. Wang, W. F. Tinney,“Available transfer capability calculation” IEEE Trans. Power System,vol. 13, no. 4, pp. 1521-527, Nov. 1998.

Mohammad Shabaan, Weixing Li, Zheng yan Yixin Ni, Felix F. Wu,“Calculation of Total transfer capability incorporating the effect of reactive power”, Int. J. Electric power systems Research, vol. 64, no. 2,pp. 181-188, May 2003.

AJJARAPU, C. CHRISTIE, “THE CONTINUATION POWER FLOW: A PRACTICAL TOOL FOR TRACING POWER SYSTEM STEADY-STATE STATIONARY BEHAVIOR DUE TO THE LOAD AND GENERATION VARIATIONS”, IEEE TRANS. POWER SYSTEMS, VOL. 7, NO. 1, PP. 416-423,MAY 1992.

Weerakorn Ongsakul and Peerapol Jirapong, “Calculation of Total Transfer Capability by Evolutionary programming. ” IEEE Region 10 Conf, vol. 3, pp. 492-495, March 2004.

Leita da silva, A. M. , de carvalho costa, J. G. da Fonseca Manso,“Transmission capacity; availability, maximum transfer and reliability”,IEEE Trans. power system, vol. 17, no. 3, pp. 843-849, Aug. 2002.

Yan Ou, Chanan Singh, “Calculation of risk and statistical indices associated with available transfer capability, ” 2003 IEE proc. Generation,Transmission and Distribution, pp. 239-244.

P. W. Sauer, “Alternatives for calculating transmission reliability margin (TRM) in Available Transfer Capability (ATC)”, in proc. 1998 31th Hawaii International Conference system science, vol. 3, pp. 89.

M. Gravener and C. Nwanpka, “Available transfer capability and first order sensitivity analysis, ” IEEE Trans power systems, vol. 14, no. 2, pp.512-518, May 1999.

M. M. Othman and A. Mohammed, “Transmission Reliability Margin Assessment of the Malaysian Power system, ”, National power and Energy conf, Bangi, , Malaysia, 2003.

Rong–fu Sun, Lin Chen, Yong-hua Song and Yuan-zhang Sun, “Capacity Benefit Margin Assessment Based on Multi-area Reliability Exponential Analytic Model, ” 2008 Power and Energy Society General Meeting – Conversion and Delivery of Electrical Energy in the 21st Century, pp.20-14. .

Yan Ou, Chanan Singh, “Assessment of Available Transfer capability and Margins” IEEE Trans power systems, vol. 17, no. 2, pp. 463-468, May 2002.

M. M. Othman and A. Mohammed, “Evolutionary Programming Method in the Capacity Benefit Margin Assessment of Deregulated Power System, ” 2004 IEEE proc. National Power and Energy Conference, pp.343-346.

M. M. Othman, A. Mohammed, and A. Hussain, “Available transfer capability assessment using evolutionary programming based capacity benefit margin”, Int. J. Electrical Power &Energy Systems, vol. 28, no. . 3,pp. 166-176, Mar. 2006.

J. B. Park et al. , “A Particle swarm optimization for Economic Dispatch with Non-smooth cost functions”, IEEE Trans. Power systems, vol. 20,no. 1, pp. 34-42, Feb. 2005.

K. Price and M. Storn, “An introduction to Differential Evolution” New optimization, (Eds), London: McGraw Hill International (UK) Limited,1999, pp. 79 -108.

J. Lampinen, “A Constraint handling Approach for the Differential Evolution Algorithm”, 2002 Proc. congress on Evolutionary computation,Vol. 2.

R. Gamperie, S. Muller, “A parameter study for Differential Evolution”,Advances in Intelligent systems, Fuzzy systems, Evolutionary computation, WSEAS Press, 2002, pp. 293 - 298.

R. Billinton, W. Li, “Reliability Assessment of Electrical Power Systems using Monte-Carlo methods”, New York: Plenum Press, 1994.

R. Billinton and R. N. Allan, “Reliability Evaluation of power systems”,New York: Plenum press, pp 400-440, 1994.

R. Gnanadass, Narayana Prasad Padhy, K. Manivannan, “Assessment of available transfer capability for practical power systems with combined economic emission dispatch”, Int. J. Electric Power Systems and Research, vol. 69, no. 2-3, pp. 267-276, May 2004.

Tamilnadu Electricity Board Statistics at a Glance 1999-2000, Planning Wing of Tamilnadu Electricity Board, Chennai, India.


Refbacks

  • There are currently no refbacks.