Optimization of Shortest Distance to Voltage Collapse by Corrective Rescheduling of Reactive Power Control Variables Employing Sine Cosine and Rao-1 Metaphor-less Algorithm

 International Journal of Engineering Trends and Technology (IJETT) © 2020 by IJETT Journal Volume-68 Issue-10 Year of Publication : 2020 Authors : Ashish Kumar Upadhyay, Dr. S.C. Choube DOI :  10.14445/22315381/IJETT-V68I10P215

Citation

MLA Style: Ashish Kumar Upadhyay, Dr. S.C. Choube  "Optimization of Shortest Distance to Voltage Collapse by Corrective Rescheduling of Reactive Power Control Variables Employing Sine Cosine and Rao-1 Metaphor-less Algorithm" International Journal of Engineering Trends and Technology 68.10(2020):87-92.

APA Style:Ashish Kumar Upadhyay, Dr. S.C. Choube. Optimization of Shortest Distance to Voltage Collapse by Corrective Rescheduling of Reactive Power Control Variables Employing Sine Cosine and Rao-1 Metaphor-less Algorithm  International Journal of Engineering Trends and Technology, 68(10),87-92.

Abstract
This paper presents a new viewpoint for voltage stability enhancement by rescheduling reactive power control variables by maximizing the shortest distance to voltage collapse. The shortest distance to voltage collapse represents a proximity indicator based on the worst-case loading scenario. Such a loading scenario may be of importance when the system is operating near to collapse point. The objective is to maximize the loadability from the current operating point based on the worst-case load scenario. The aim is to get an optimum set of reactive power control variables that maximize the shortest distance to voltage collapse. Thus it is max. (min.) problem. The max. (min.) problem incorporates the operating constraints. An algorithm has been presented to solve the formulated problem using the Rao-1 algorithm, and results have been validated using Sine Cosine algorithms. Results have been presented for IEEE 6-bus and 25-bus standard test systems.

Reference

[1] Dobson, and L.LU, “New methods for computing the closest saddle-node bifurcation and worst-case load power margin for voltage collapse” IEEE Trans. on the power system, vol.8, No.3, August 1993, pp 905-913
[2] Jin Lu, C.W. Liu, and J.S. Thorp, “New methods for computing a saddle-node bifurcation point for voltage stability analysis” IEEE Trans. on PS, Vol.10, No.2, May 1995, pp.978-989.
[3] LD. Arya and VS Pande, “Determination of closest saddle-node bifurcation point using tangent vector” IEE sponsored National conference on power engineering practices and energy management,2005, Patiala, India, pp.23-26
[4] Z. Yan, Y.Liu, F.Wu and Y.Ni, “Method for direct calculation of quadratic turning points” Proc. IEEE, GTD, Vol.151, No.1, January 2004,pp.83-89.
[5] LD.Arya, SC Choube, M.Shrivastava, DP Kothari, “Particle swarm optimization for determining the shortest distance to voltage collapse” Int.J. of Electrical power and Energy Systems, vol.29, No.10, 2007, pp.796-802
[6] SD. Rao, D.J. Tylavsky, Y.Feng, “Estimating the saddle-node bifurcation point of static power systems using the holomorphic embedding method” Int. J. of Elect. Power and Energy Systems, vol. 84, No.1, 2017, pp. 1-12
[7] A.R. Phadke, M.Fozdar, K.R. Niazi, “A new technique for computation of closest saddle-node bifurcation point of power system using real coded genetic algorithm” Int. J. of Electric Power and Energy Systems, vol.33, No.5, 2011,pp. 1203-1210
[8] R.A. Jabr, B.C. Pal, “Computing closest saddle-node bifurcations in a radial system via conic programming” Int. J. of Electric Power and Energy Systems, vol.31, No.6, 2009, pp. 243-248
[9] A. Tiranuchit and R.J. Thomas, “A posturing strategy against voltage instabilities in electric power systems,” IEEE Trans. on PS, Vol.3, No.1, 1988, pp. 87-93.
[10] TJ overdye and CL De Marco, “Voltage security enhancement using energy-based sensitivities,” IEEE Trans. on PS, Vol.6, No.3,1991, pp.1196-1202.
[11] MM Begovic and A.G. Phadke, “Control of voltage stability using sensitivity analysis,” IEEE Trans.PS, Vol.7, No.1, 1992, pp. 114-123.
[12] A.M. Chebbo, M.R. Irving, and MJH sterling, "Reactive power dispatch incorporating voltage stability,” IEE Proc, GTD, Part-c, Vol.139, No.3, 1992, pp. 253-260.
[13] R.R. Zalpa and B.J. Cory, “Reactive Reserve management,” IEE Proc. GTD, Part-c, Vol.142, No.1, 1995, pp. 17-23.
[14] Bansilal, D.Thukaram, and K. Parthsarthy, “Optimal reactive power dispatch algorithm for voltage stability improvement,” Int. J. of Electrical Power and Energy Systems, Vol.18, No.7, 1996, pp.461-468.
[15] RS Tare, and P.R. Bijwe, “Look-ahead approach to power system loadability enhancement,” IEE Proc., GTD, Part-c, Vol.144, No.4, 1999, pp. 357-362.
[16] D. Thukaram and A. Lomi, “Selection of static VAR compensation location and size for system voltage stability improvement,” Electric Power system Research, Vol.54, No.2, 2000, pp.139-150.
[17] LD. Arya, S.C. Choube, and D.P. Kothari, “Reactive power optimization using static voltage stability index,” Electric Power Components and systems, Vol.29, No.7, 2001, pp. 615-628.
[18] Ashish Kumar Upadhyay, Dr. S.C. Choube, “Determination of closest saddle-node bifurcation point for power system using Sine Cosine and Rao-1 metaphor-less algorithm “, International Journal of Electrical Engineering & Technology (IJEET), Vol.11, No.2, March-April 2020, pp. 62-68.
[19] LD. Arya, D.K. Sakravdia, and D.P. Kothari, “Corrective rescheduling for static voltage stability control,” Int. J. of Electrical Power and energy systems, Vol.27, No.1, 2005, pp.3-12.
[20] Y. Malachi, and S.Senger,”A genetic algorithm for corrective control of voltage and Reactive Power,” IEEE Trans. on PS, Vol.21, No.1, 2006, pp.295-300.
[21] M. Varadarajan, and KS. Swarup, “Differential evolution algorithm for optimal reactive power dispatch,” Int. J. of Electrical Power and energy systems, Vol.30, No.8,2008, pp.435-441.
[22] LD. Arya, S.C. Choube, M.Shrivastava, and D.P. Kothari, “Loadability margin enhancement using co-ordinated aggregation based particle swarm optimization(CAPSO)”, Int. J. of Electrical Power and Energy Systems`, Vol.32, No.9,2010, pp. 975-984.
[23] OA Mousavi, M. Bozorg, and R. Cherkaoui, “Preventive, reactive power management for improving voltage stability margin,” Electrical Power System Research, Vol.96, 2013, pp.36-46.
[24] L.S. Titare, P. Singh, L.D. Arya, S.C. Choube, “Optimal reactive power rescheduling based on EPSDE algorithm to enhance static voltage stability,” Int. J. of Electrical and Energy Systems, Vol.63, Dec.2014, pp. 588-599.
[25] ESE El-Araby, N. Yorino, “Reactive Power reserve management tool for voltage stability enhancement,” IET, GTD, Vol.12, No.8, 2018, pp.1879-1888.
[26] S. Mirjalili, “SCA: A sine cosine algorithm for solving optimization problems,” Knowledge-based systems, Vol.96, No.8, 2018, pp.120-133.
[27] D.H. Wolpert, W.G. Macready, “No free lunch theorem for optimization,” IEEE Trans. Evol. Comp., Vol.1, 1997, pp.67-82.
[28] R.V. Rao, “Rao algorithms: Three metaphor-less simple algorithms for solving optimization problems” International Journal of Industrial Engineering Computations` vol.11, 2020, pp.107-130
[29] Y. Wallach, “Calculations and programs for power systems network” Prentice Hall, Inc. 1986(Book)
[30] P.R. Bijwe, D.P. Kothari, and LD. Arya` Alleviation of line overloads and voltage violations by corrective rescheduling `IEE Proc. Part-C, Vol.140, No.4, July 1993, pp. 249-255.

Keywords
Voltage collapse, Voltage stability, Optimization, Sine Cosine algorithm, Rao-1 algorithm.