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Blending of Genetic Algorithm with Fletcher Reeves Method to Solve Reactive Power Problem

Year 2015, Volume: 3 Issue: 3, 154 - 157, 30.12.2015

Abstract

In this study a hybrid algorithm - Fletcher Reeves method and advanced Genetic Algorithm (GA) are suggested to solve reactive power problem. In this approach, each of the G Fletcher Reeves method again with progressive operators are calculated step length. These approaches are extended to a set of multi-point access instead of single point approximation to avoid the convergence of the available method at local optimum and a new method, named Population Based Fletcher Reeves Method (PFR), are proposed to solve the reactive power problem. PFR was tested in standard IEEE 30 bus test system and simulation results demonstrate obviously about the best performance of the recommended algorithm in reducing the real power loss with control variables within the limits.

References

  • [1] O. Alsac, and B. Scott, “Optimal load flow with steady state security”, IEEE Transaction. PAS, pp.745-751, 1973. [2] K.Y. Lee, Y.M. Paru, J.L. Oritz –A united approach to optimal real and reactive power dispatch , IEEE Transactions on power Apparatus and systems, PAS-104, pp.1147-1153, 1985. [3] A.Monticelli , M .V.F Pereira ,and S. Granville , “Security constrained optimal power flow with post contingency corrective rescheduling” , IEEE Transactions on Power Systems, PWRS-2, no.1, pp.175- 182,1987. [4] DeebN ,Shahidehpur S.M ,Linear reactive power optimization in a large power network using the decomposition approach. IEEE Transactions on power system, vol.5, no.2, pp.428-435, 1990. [5] E. Hobson ,’Network consrained reactive power control using linear programming, ‘ IEEE Transactions on power systems PAS -99 (4), pp 868-877, 1980 [6] K.Y. Lee, Y.M Park, and J.L Oritz, “Fuel –cost optimization for both real and reactive power dispatches” , IEE Proc; 131C,(3), pp.85-93. [7] M.K. Mangoli, and K.Y. Lee, “Optimal real and reactive power control using linear programming”, Electr.Power Syst. Res, vol.26, pp.1-10, 1993. [8] C.A. Canizares , A.C.Z.de Souza and V.H. Quintana, “ Comparison of performance indices for detection of proximity to voltage collapse”, vol. 11, no.3, pp.1441-1450, Aug 1996 . [9] S.R.Paranjothi ,andK.Anburaja, “Optimal power flow using refined genetic algorithm”, Electr.PowerCompon.Syst, vol.30, pp.1055-1063, 2002. [10] D. Devaraj, and B. Yeganarayana, “Genetic algorithm based optimal power flow for security enhancement”, IEE proc- Generation.Transmission and. Distribution; 152, 6 November 2005. [11] A.Berizzi, C. Bovo, M. Merlo, and M. Delfanti, “A ga approach to compare orpf objective functions including secondary voltage regulation,” Electric Power Systems Research, vol.84, no.1, pp.187- 194, 2012. [12] C.-F. Yang, G. G. Lai, C.-H. Lee, C.-T. Su, and G. W. Chang, “Optimal setting of reactive compensation devices with an improved voltage stability index for voltage stability enhancement,” International Journal of Electrical Power and Energy Systems, vol.37, no.1, pp. 50 -57, 2012. [13] P. Roy, S. Ghoshal, and S. Thakur, “Optimal var control for improvements in voltage profiles and for real power loss minimization using biogeography based optimization,” International Journal of Electrical Power and Energy Systems, vol.43, no.1, pp.830-838, 2012. [14] B. Venkatesh, G. Sadasivam, and M. Khan, “A new optimal reactive power scheduling method for loss minimization and voltage stability margin maximization using successive multi-objective fuzzy lp technique,” IEEE Transactions on Power Systems, vol.15, no.2, pp. 844-851, may 2000. [15] W. Yan, S. Lu, and D. Yu, “A novel optimal reactive power dispatch method based on an improved hybrid evolutionary programming technique,” IEEE Transactions on Power Systems, vol. 19, no. 2, pp. 913 – 918, may 2004. [16] W. Yan, F. Liu, C. Chung, and K. Wong, “A hybrid genetic algorithminterior point method for optimal reactive power flow,” IEEE Transactions on Power Systems, vol.21, no.3, pp.1163-1169, Aug. 2006. [17] J. Yu, W. Yan, W. Li, C. Chung, and K. Wong, “An unfixed piecewiseoptimal reactive power-flow model and its algorithm for acdc systems,” IEEE Transactions on Power Systems, vol.23, no.1, pp. 170-176, Feb. 2008. [18] F. Capitanescu, “Assessing reactive power reserves with respect to operating constraints and voltage stability,” IEEE Transactions on Power Systems, vol.26, no.4, pp.2224–2234, nov.2011. [19] Z. Hu, X. Wang, and G. Taylor, “Stochastic optimal reactive power dispatch: Formulation and solution method,” International Journal of Electrical Power and Energy Systems, vol.32, no.6, pp.615-621, 2010. [20] Kargarian, M. Raoofat, and M. Mohammadi, “Probabilistic reactive power procurement in hybrid electricity markets with uncertain loads,” Electric Power Systems Research, vol.82, no. , pp. 68-80, 2012. [21] Li Zhang, Weijun Zhou , Donghui Li, “Global convergence of a modified Fletcher–Reeves conjugate gradient method with Armijo-type line search”, Numerische Mathematik, October 2006, vol.104, no.4, pp.561-572 [22] K. Deb, A. Anand, and D. Joshi, A computationally efficient evolutionary algorithm for realparameter optimization. Evolutionary computation, Vol.10, No.4, pp.371-395, 2002. [23] K. Deb, and M.Thakur, A new crossover operator for real coded genetic algorithms. Applied Mathematics and Computation, vol.188(1), pp.895-911, 2007. [24] 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. [25] B. Zhao, C. X. Guo, and Y.J. CAO.Multiagent-based particle swarm optimization approach for optimal reactive power dispatch. IEEE Trans. Power Syst. Vol.20, no.2, pp.1070-1078, May 2005. [26] Mahadevan. K, Kannan P. S. “Comprehensive Learning Particle Swarm Optimization for Reactive Power Dispatch”, Applied Soft Computing, Vol.10, No.2, pp.641–52, March 2010. [27] A.H. Khazali, M. Kalantar, “Optimal Reactive Power Dispatch based on Harmony Search Algorithm”, Electrical Power and Energy Systems, vol.33, no.3, pp.684-692, March 2011. [28] S. Sakthivel, M. Gayathri, V. Manimozhi, “A Nature Inspired Optimization Algorithm for Reactive Power Control in a Power System”, International Journal of Recent Technology and Engineering (IJRTE) , vol.2, no.1, pp.29-33, March 2013.
Year 2015, Volume: 3 Issue: 3, 154 - 157, 30.12.2015

Abstract

References

  • [1] O. Alsac, and B. Scott, “Optimal load flow with steady state security”, IEEE Transaction. PAS, pp.745-751, 1973. [2] K.Y. Lee, Y.M. Paru, J.L. Oritz –A united approach to optimal real and reactive power dispatch , IEEE Transactions on power Apparatus and systems, PAS-104, pp.1147-1153, 1985. [3] A.Monticelli , M .V.F Pereira ,and S. Granville , “Security constrained optimal power flow with post contingency corrective rescheduling” , IEEE Transactions on Power Systems, PWRS-2, no.1, pp.175- 182,1987. [4] DeebN ,Shahidehpur S.M ,Linear reactive power optimization in a large power network using the decomposition approach. IEEE Transactions on power system, vol.5, no.2, pp.428-435, 1990. [5] E. Hobson ,’Network consrained reactive power control using linear programming, ‘ IEEE Transactions on power systems PAS -99 (4), pp 868-877, 1980 [6] K.Y. Lee, Y.M Park, and J.L Oritz, “Fuel –cost optimization for both real and reactive power dispatches” , IEE Proc; 131C,(3), pp.85-93. [7] M.K. Mangoli, and K.Y. Lee, “Optimal real and reactive power control using linear programming”, Electr.Power Syst. Res, vol.26, pp.1-10, 1993. [8] C.A. Canizares , A.C.Z.de Souza and V.H. Quintana, “ Comparison of performance indices for detection of proximity to voltage collapse”, vol. 11, no.3, pp.1441-1450, Aug 1996 . [9] S.R.Paranjothi ,andK.Anburaja, “Optimal power flow using refined genetic algorithm”, Electr.PowerCompon.Syst, vol.30, pp.1055-1063, 2002. [10] D. Devaraj, and B. Yeganarayana, “Genetic algorithm based optimal power flow for security enhancement”, IEE proc- Generation.Transmission and. Distribution; 152, 6 November 2005. [11] A.Berizzi, C. Bovo, M. Merlo, and M. Delfanti, “A ga approach to compare orpf objective functions including secondary voltage regulation,” Electric Power Systems Research, vol.84, no.1, pp.187- 194, 2012. [12] C.-F. Yang, G. G. Lai, C.-H. Lee, C.-T. Su, and G. W. Chang, “Optimal setting of reactive compensation devices with an improved voltage stability index for voltage stability enhancement,” International Journal of Electrical Power and Energy Systems, vol.37, no.1, pp. 50 -57, 2012. [13] P. Roy, S. Ghoshal, and S. Thakur, “Optimal var control for improvements in voltage profiles and for real power loss minimization using biogeography based optimization,” International Journal of Electrical Power and Energy Systems, vol.43, no.1, pp.830-838, 2012. [14] B. Venkatesh, G. Sadasivam, and M. Khan, “A new optimal reactive power scheduling method for loss minimization and voltage stability margin maximization using successive multi-objective fuzzy lp technique,” IEEE Transactions on Power Systems, vol.15, no.2, pp. 844-851, may 2000. [15] W. Yan, S. Lu, and D. Yu, “A novel optimal reactive power dispatch method based on an improved hybrid evolutionary programming technique,” IEEE Transactions on Power Systems, vol. 19, no. 2, pp. 913 – 918, may 2004. [16] W. Yan, F. Liu, C. Chung, and K. Wong, “A hybrid genetic algorithminterior point method for optimal reactive power flow,” IEEE Transactions on Power Systems, vol.21, no.3, pp.1163-1169, Aug. 2006. [17] J. Yu, W. Yan, W. Li, C. Chung, and K. Wong, “An unfixed piecewiseoptimal reactive power-flow model and its algorithm for acdc systems,” IEEE Transactions on Power Systems, vol.23, no.1, pp. 170-176, Feb. 2008. [18] F. Capitanescu, “Assessing reactive power reserves with respect to operating constraints and voltage stability,” IEEE Transactions on Power Systems, vol.26, no.4, pp.2224–2234, nov.2011. [19] Z. Hu, X. Wang, and G. Taylor, “Stochastic optimal reactive power dispatch: Formulation and solution method,” International Journal of Electrical Power and Energy Systems, vol.32, no.6, pp.615-621, 2010. [20] Kargarian, M. Raoofat, and M. Mohammadi, “Probabilistic reactive power procurement in hybrid electricity markets with uncertain loads,” Electric Power Systems Research, vol.82, no. , pp. 68-80, 2012. [21] Li Zhang, Weijun Zhou , Donghui Li, “Global convergence of a modified Fletcher–Reeves conjugate gradient method with Armijo-type line search”, Numerische Mathematik, October 2006, vol.104, no.4, pp.561-572 [22] K. Deb, A. Anand, and D. Joshi, A computationally efficient evolutionary algorithm for realparameter optimization. Evolutionary computation, Vol.10, No.4, pp.371-395, 2002. [23] K. Deb, and M.Thakur, A new crossover operator for real coded genetic algorithms. Applied Mathematics and Computation, vol.188(1), pp.895-911, 2007. [24] 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. [25] B. Zhao, C. X. Guo, and Y.J. CAO.Multiagent-based particle swarm optimization approach for optimal reactive power dispatch. IEEE Trans. Power Syst. Vol.20, no.2, pp.1070-1078, May 2005. [26] Mahadevan. K, Kannan P. S. “Comprehensive Learning Particle Swarm Optimization for Reactive Power Dispatch”, Applied Soft Computing, Vol.10, No.2, pp.641–52, March 2010. [27] A.H. Khazali, M. Kalantar, “Optimal Reactive Power Dispatch based on Harmony Search Algorithm”, Electrical Power and Energy Systems, vol.33, no.3, pp.684-692, March 2011. [28] S. Sakthivel, M. Gayathri, V. Manimozhi, “A Nature Inspired Optimization Algorithm for Reactive Power Control in a Power System”, International Journal of Recent Technology and Engineering (IJRTE) , vol.2, no.1, pp.29-33, March 2013.
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Details

Primary Language English
Subjects Engineering
Journal Section Araştırma Articlessi
Authors

Kanagasabai Lenin

Bhumanapally Ravindhranath Reddy This is me

M. Surya Kalavathi This is me

Publication Date December 30, 2015
Published in Issue Year 2015 Volume: 3 Issue: 3

Cite

APA Lenin, K., Reddy, B. R., & Kalavathi, M. S. (2015). Blending of Genetic Algorithm with Fletcher Reeves Method to Solve Reactive Power Problem. Balkan Journal of Electrical and Computer Engineering, 3(3), 154-157.

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