Optimal reactive power dispatch using water wave optimization algorithm

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Optimal reactive power dispatch using water wave optimization algorithm Yongquan Zhou1,2 · Jinzhong Zhang1 · Xiao Yang1 · Ying Ling1 Received: 16 July 2017 / Revised: 11 April 2018 / Accepted: 16 August 2018 © Springer-Verlag GmbH Germany, part of Springer Nature 2018

Abstract This paper presents water wave optimization (WWO) algorithm to solve the optimal reactive power dispatch (ORPD) problem with the continuous and discrete control variables in power system. The ORPD problem is defined as a complex, discrete, constrained nonlinear combinatorial optimization problem. The WWO algorithm is utilized to find the optimized values of control variables such as generator voltages, tap positions of tap changing transformers and the amount of reactive compensation devices to achieve minimized value of active power losses. The WWO algorithm not only effectively avoids the shortcomings of local search and poor calculation accuracy, but also accelerates the convergence rate to find the global optimal solution. The WWO algorithm is implemented on standard IEEE 30-bus power system that is to verify the effectiveness and feasibility of the WWO algorithm to tackle with the ORPD problem. Compared with other algorithms, the WWO algorithm can find the set of the optimal solutions of control variables. The simulation experiment indicates that the WWO algorithm has better overall performance to reduce the real power losses. Keywords  Water wave optimization algorithm · Optimal reactive power dispatch · Control variables · Active power losses · Simulation experiment

1 Introduction With the development of the economy, the power load increases rapidly and the ORPD problem is an important part for power system to operate safely, which has aroused wide public attention. The power system achieves the optimal dispatch and * Yongquan Zhou [email protected] 1

College of Information Science and Engineering, Guangxi University for Nationalities, Nanning 530006, China

2

Key Laboratory of Guangxi High Schools Complex System and Computational Intelligence, Nanning 530006, China



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control of reactive power, which can improve the quality of voltage and reduce the power transmission losses so as to reduce operating costs and enhance the level of stable operation. The ORPD problem (Alsac and Stott 1974; Lee et al. 1985; Kenarangui and Seifi 1994; Lai 2005; Varadarajan and Swarupa 2008; Duman et al. 2012) is a nonlinear combination optimization problem with discrete, complex, multi-constrained features. The traditional methods to solve the ORPD problem are interior point method (Momoh et  al. 1994), linear programming (Deeb and Shahidehpur 1990), nonlinear programming method (Wu et al. 1994), Gradient method (Lee et al. 1985), quadratic programming method (Grudinin 1998), Newton method (Bjelogrlic et al. 1990), which generally causes problems, such as large error, curse of dimensionality, difficult to deal with discrete variable, so that it is difficult to obtain the ideal result. In recent years, the