**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30075

##### Solution of Optimal Reactive Power Flow using Biogeography-Based Optimization

**Authors:**
Aniruddha Bhattacharya,
Pranab Kumar Chattopadhyay

**Abstract:**

**Keywords:**
Active Power Loss,
Biogeography-Based Optimization,
Migration,
Mutation,
Optimal Reactive Power Flow.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1057965

**References:**

[1] S. S. Sachdeva and R. Billinton, Optimum network VAR planning by nonlinear programming. IEEE Trans. on Pwr. Apparatus and Syst. vol. PAS-92, no. 4, pp. 1217-1225, 1973.

[2] A.A. Abou El-Ela and M.A. Abido, "Optimal operation strategy for reactive power control Modeling", simulation and control, part A vol. 41, no. 3, AMSE Press, pp. 19-40, 1992.

[3] R. Mota-Palomino and V.H. Quintana, "Sparse reactive power scheduling by a penalty-function linear programming technique", IEEE Trans Pwr Syst , vol. 1, no. 3, pp. 31-39, 1986.

[4] V.H. Quintana, M. Satos-nieto, "Reactive power dispatch by successive quadratic programming", IEEE Trans.EnergyConvers.,vol.4,no3,pp.425- 35, 89.

[5] M. R. Bjelogrlic, M. S. Calovic, B. S. Babic, et. al., "Application of Newton-s optimal power flow in voltage/reactive power control", IEEE Trans Pwr Syst, vol. 5, no. 4, pp. 1447-1454, 1990.

[6] E. Rezania, S. M. Shahidehpour, "Real power loss minimization using interior point method", Int J Elec Pwr Energy Syst, vol.23,no.1,pp.45-56, 2001.

[7] Wei Yan, J. Yu, D. C. Yu and K. Bhattarai, "A new optimal reactive power flow model in rectangular form and its solution by predictor corrector primal dual interior point method", IEEE Trans. Pwr. Syst.,vol.21,no.1,pp.61-67, 2006.

[8] K. Aoki, M. Fan, A. Nishikori, "Optimal VAR planning by approximation method for recursive mixed-integer linear programming", IEEE Trans. on Pwr. Syst., vol. 3, no. 4, pp. 1741-1747, 1988.

[9] N. Deeb, S.M. Shahidehpour, Linear reactive power optimization in a large power network using the decomposition approach, IEEE Trans. on Pwr. Syst., vol. 5, no. 2, pp. 428-438, 1990.

[10] F.C. Lu, Y.Y. Hsu, "Reactive power/voltage control in a distribution substation using dynamic programming", IEE Proc. Gener., Transm. and Distrib., vol. 142, no. 6, pp. 639-645, 1995.

[11] K. Iba, "Reactive power optimization by genetic algorithm", IEEE Trans. on Pwr. Syst , vol. 9, no. 2, pp. 685-692, 1994.

[12] K.Y. Lee, Y.M. Park, Optimization method for reactive power planning by using a modified simple genetic algorithm, IEEE Trans. on Pwr. Syst, vol. 10, no. 4, pp. 1843-1850, 1995.

[13] 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.

[14] G. A. Bakare, G. K. Venayagamoorthy, and U. O. Aliyu, "Reactive power and voltage control of the Nigerian grid system using microgenetic algorithm," in Proc. IEEE Power Eng. Soc. General Meeting, vol. 2, pp. 1916-1922, San Francisco, CA, 2005.

[15] W. Yan, F. Liu, C.Y. Chung, K.P. Wong, "A hybrid genetic algorithminterior point method for optimal reactive power flow", IEEE Trans. on Pwr. Syst., vol. 21, no. 3, pp. 1163-1169, 2006.

[16] Q.H. Wu, J.T. Ma, "Power system optimal reactive power dispatch using evolutionary programming", IEEE Trans. on Pwr. Syst., vol. 10, no. 3, pp. 1243-1249, 1995.

[17] L.L. Lai, J.T. Ma, "Application of evolutionary programming to reactive power planning-comparison with nonlinear programming approach", IEEE Trans. on Pwr. Syst., vol. 12, no. 1, pp. 198-206, 1997.

[18] H. Yoshida et al., "A particle swarm optimization for reactive power and voltage control considering voltage security assessment," IEEE Trans. Power Syst., vol. 15, no. 4, pp. 1232-1239, Nov. 2001.

[19] W. Zhang, Y. Liu, and M. Clerc, "An adaptive PSO algorithm for reactive power optimization," in Proc. 6th Int. Conf. Advance in Power System Control, Operatation and Management, Hong Kong, Nov. 2003, pp. 302- 307.

[20] B. Zhao, C. X. Guo, and Y. J. Cao, "A multi-agent based particle swarm optimization approach for reactive power dispatch," IEEE Trans. Pwr. Syst., vol. 20, no. 2, pp. 1070-1078, May 2005.

[21] A. A. A. Esmin, G. Lambert-Torres, and A. C. Zambroni de Souza, "A hybrid particle swarm optimization applied to loss power minimization," IEEE Trans. Power Syst., vol. 20, no. 2, pp. 859-866, May 2005.

[22] M. S. Kumari and M. Sydulu, "Improved particle swarm algorithm applied to optimal reactive power control," in Proc. IEEE Int. Conf. Industrial Technology, 2006, pp. 1873-1878.

[23] J. G. Vlachogiannis and K. Y. Lee, "A comparative study on particle swarm optimization for optimal steady-state performance of power systems," IEEE Trans. Power Syst., vol. 21, no. 4, pp. 1718-1728, Nov. 2006.

[24] G. Cai, Z. Ren, and T. Yu, "Optimal reactive power dispatch based on modified particle swarm optimization considering voltage stability in Proc. IEEE Power Eng. Soc. General Meeting, 2007, pp. 1-5.

[25] C. H. Liang, C.Y. Chung, K. P. Wong, X. Z. Duan, C. T. Tse, "Study of differential evolution for reactive power flow", IET Proc. Gener. Transm. Distrib., vol. 1, no. 2, pp. 253-260, 2007.

[26] G. A. Bakare, G. Krost, G. K.Venayagamoorthy, U. O. Aliyu, "Differential evolution approach for reactive power optimization of Nigerian grid system," in Proc. IEEE Power Eng. Soc. General Meeting, Tampa, FL, pp. 1-6, Jun. 24-28 2007.

[27] M. Varadarajan, K. S. Swarup, "Network loss minimization with voltage security using differential evolution",Elect.Pwr Syst.Res.,vol.78,pp.815- 23, 08.

[28] C. Y. Chung, C. H. Liang, K. P. Wong, X. Z. Duan, "Hybrid algorithm for differential evolution and evolutionary programming for optimal ractive power flow", IET Proc. Gener., Transm. & Distrib., vol. 4, no. 1, pp. 84-93, 2010.

[29] C. Dai, W. Chen, "Seeker Optimization Algorithm for Optimal Reactive Power Dispatch", IEEE Trans. Power Syst., vol. 24, no. 3, pp. 1218-31, 2009.

[30] Dan Simon, "Biogeography-Based Optimization", IEEE Transaction on Evolutionary Computation, vol. 12, no. 6, pp. 702-713, December 2008.

[31] Bhattacharya A., Chattopadhyay P.K., "Biogeography-Based Optimization for Different Economic Load Dispatch Problems", IEEE Trans. on Power Syst., vol. 25, no. 2, pp. 1064-1075, May 2010.

[32] Tinney, W.F., Hart, C.E., "Power Flow Solution by Newton-s Method", IEEE Trans. on Pwr Apparatus and Syst., vol.PAS-86,no.11,pp. 1449-60, 1967.

[33] K. Lee, Y. Park and J. Ortiz, "A united approach to optimal real and reactive power dispatch", IEEE Trans Pwr Appar Syst vol. PAS-104, no. 5, pp. 1147-1153, 1985.

[34] The IEEE 57-Bus Test System, Available online: http://www.ee.washington.edu/research/pstca/ .

[35] K. Mahadevan, P. S. Kannan, "Comprehensive learning Particle Swarm Optimization for Reactive Power Dispatch," Int. J. Applied Soft Computing, vol. 10, no. 2, pp. 641-652, March 2010.