Solving economic load dispatch problem with valve-point effects using a hybrid quantum mechanics inspired particle swarm optimisation

Abstract

Economic load dispatch (ELD) performs an important part in the economic operation of power system. The ELD problem is considered as a non-linear constrained optimisation problem. The problem becomes non-convex and non-smooth when the generators' prohibited zones and valve-point effect are considered. The purpose of this work is to present a solution strategy to solve ELD problem in an efficient way while considering several aspects of ELD. The strategy employs a hybrid mechanism involving a quantum mechanics inspired particle swarm optimisation (PSO). The conventional PSO is modified by integrating quantum mechanics theory that redefines the particles positions and velocities in more diverse manner and therefore explores more search space. The PSO is further upgraded from a single population-based to a multi-population one. Such feature of the method delivers a fine balance between the local and global searching abilities. The simulations are carried by considering several cases of thermal units by varying different combinations of system configurations such as with/ without valve-point effect, with/without network loss and for one or several hours of load demand. The results are quite promising and effective compared with several benchmark methods.

Stochastic Real-Time Scheduling of Wind-Thermal Generation Units in an Electric Utility

“…INTRODUCTION E CONOMIC load dispatch (ELD) is a non-linear constrained optimization problem which plays an important role in the economic operation of power systems [1]- [4]. Dynamic economic dispatch (DED), which is an extension of ELD for a given operation horizon, takes into account the connection of different operating times by considering ramp-rate constraints of thermal generation units.…”

A Dynamic Economic Dispatch Model Incorporating Wind Power Based on Chance Constrained Programming

“…In wind penetrated power systems, wind production is usually regarded as zero cost, the DED model with the valve point effect usually takes the following form [20][21][22][23][24]:…”

An Improved Quantum-Behaved Particle Swarm Optimization Method for Economic Dispatch Problems with Multiple Fuel Options and Valve-Points Effects

“…These functions are all minimization problems with the minimum value to be zero. The results produced by the proposed SQPSO are compared with that of the EGA, DPSO, HPSO, IPSO and IQPSO in [17]. EGA is a modified genetic algorithm with elitism and adaptive mutation probability control, and DPSO, HPSO, IPSO are three types of revised version of PSO.…”

“…As an efficient algorithm, QPSO has been applied to many optimization problems, such as system identification [13], non-linear programming problems [14], power system [15], etc. Although Coelho et al proposed a quantum-inspired HQPSO using the harmonic oscillator potential well to solve economic dispatch problems [16], Sun and Lu applied QPSO to ED problems [15], and Chakraborty et al presented a hybrid QPSO to solve the ED problems [17], to the best of our knowledge, it has not been used yet to solve ED problems with multiple fuel options.…”