Differential Evolution Technique for Determining Shortest Distance to Voltage Collapse
|International Journal of Engineering Trends and Technology (IJETT)||
|© 2017 by IJETT Journal|
|Year of Publication : 2017|
|Authors : R. K. Shrivastava
|DOI : 10.14445/22315381/IJETT-V53P214|
R. K. Shrivastava "Differential Evolution Technique for Determining Shortest Distance to Voltage Collapse", International Journal of Engineering Trends and Technology (IJETT), V53(2),80-89 November 2017. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group
This paper describes an algorithm for computing shortest distance to voltage collapse for determination of closest saddle node bifurcation point (CSNBP) using Differential Evolution (DE) technique. A direction along CSNBP gives conservative results from voltage security view point. This information is useful to the operator to steer the system away from this point by taking corrective actions. The distance to a closest bifurcation is a minimum of the loadability given a slack bus or participation factors (PCM) for increasing generation as the load increases. CSNBP determination has been formulated as an optimization problem to be used in DE technique. DE is a new floating point coded evolutionary algorithm (EA). It differs significantly from other evolutionary algorithms (EA) in the sense that distance and direction information from the current population is used to guide the search process. It can handle optimization problems with any complexity since mechanization is simple with a very little effort put to tune the parameters. The performance of the proposed algorithm is tested on two standard IEEE test systems. The potential and effectiveness of the proposed approach are demonstrated.
 C. Concordia, ‘Voltage instability’, Int. Journal of Electrical Power and Energy systems, Vol. 13, No.l, 1991, pp. 14-20.
 P. Kundur, ‘Power System Stability and Control’, (Book). McGraw Hill, Inc. 1994.
 C.W. Taylor, Power system voltage stability (Book), McGraw Hill, 1994.
 T. Van Cutsem and C. Vournas, ‘Voltage stability of electric power systems’, Norwell, MA: Kluwer, 1998.
 T. Van Cutsem, ‘Voltage instability Phenomena, counter measures and analysis methods’, Proc. IEEE, Vol. 88, No.2, Feb.2000, pp.208-227.
 Y. Kataoka and Y. Shinoda, `Voltage stability limit of electric power systems with generator reactive power constraints considered`, IEEE Trans. on Power Systems, Vol. 20, No. 2, May 2005, pp. 951-962.
 I. Dobson and L. Lu, `New methods for computing a closest saddle node bifurcation and worst case load power margin for voltage collapse`, IEEE Trans. on Power Systems, Vol. 8, No. 3, August 1993, pp. 905-913.
 I.A. Hiskens and B.B. Chakrabarty, ‘Direct calculation of reactive power limit points’, Electrical Power Energy System, vol.18, no.2, 1996, pp. 121-129.
 M.H. Haque, `A fast method for determining the voltage stability limit of a power system`, Electric Power Systems Research, Vol. 32, January 1995, pp. 35-43.
 S.P. Torres, W.H. Peralta. C.A. Castro, .Power system loading margin estimation using neuro-fuzzy approach`. IEEE Trans. on Power Systems Vol. 22. No. 4, November 2007. pp. 1955-1963.
 R. Storn, K. Price, Differential Evolution – A Simple and Efficient Adaptive Scheme for Global Optimization over Continuous Spaces, Technical Report TR- 95-012, ICSI, 1995.
 R. Storn, K. Price, Differential evolution, a simple and efficient heuristic strategy for global optimization over continuous spaces, Journal of Global Optimization 11 (1997) 341–359.
 J. Vesterstrom, R. Thomsen, A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems, in: IEEE Congress on Evolutionary Computation, 2004, pp. 980–987.
 B.V. Babu, P.G. Chakole, J.H.S. Mubeen, Differential Evolution Strategy for Optimal Design of Gas Transmission Network, available online at:www.vsppub.com (accessed July 22, 2009).
 C.H. Liang, C.Y. Chung, K.P. Wong, X.Z. Duan, C.T. Tse, study of differential evolution for optimal reactive power flow, IET Generation Transmission Distribution 1 (2) (2007) 253–260.
 A.A. Abou EI Ela, M.A. Abido,S.R.Spea, ‘ differential evolution algorithm for emission constrained economic power dispatch problem’ Electric Power Systems Research 80 (2010) 1286–1292.
 Price K, Storn R, Lampinen J. ‘Differential evolution: a practical approach to global optimization’. Springer; 2005.
 LD Arya, SC Choube, M Shrivastava,’DP Kothari, Particle swarm optimization for determining shortest distance to voltage collapse’, Int J Electr Power Energy Syst 2007;29(10):796–802.
 Y Wallach, Calculation and program for power system network (Book), Engle wood Cliffs (NJ): Prentice Hall, Inc.; 1986.
Voltage collapse, CSNBP, DE, EA, PCM.