Abstract

To realize the sustainable development of social economy, energy conservation and emission reduction has become one of the problems that must be considered in the current power system. Under the electric power market system, the economic load dispatch problem not only is important but also has practical significance and broad application prospects. In order to minimize the costs of electric-power generation, the load capacity should be reasonably assigned among many different generating sets. In this paper, an improved symbiosis particle swarm optimization algorithm was proposed, aiming at providing a better solution to this problem. First of all, a mathematical model was established with certain constraints, which successfully converted the practical problem into a mathematical one. Then, to balance the global optimization and local search capability, an improved symbiosis particle swarm optimization algorithm with mutualistic symbiosis strategy in nature was presented. The improved symbiosis particle swarm optimization algorithm consisted of three swarms inspired by the proverb “two heads are better than one,” and its specific analysis was through the standard test functions. At last, the economic load dispatch problem could be optimized by the proposed improved symbiosis particle swarm optimization algorithm. In addition, two different kinds of practical examples were also adopted for algorithm evaluation. From the simulation results, it can be seen clearly that the costs of electric-power generation gained were the lowest compared with the results of particle swarm optimization algorithm, improved chaos particle swarm optimization algorithm, and symbiotic organisms search algorithm, well demonstrating the effectiveness of the improved symbiosis particle swarm optimization algorithm in solving the economic load dispatch problem.

Highlights

  • With the rapid development of market system and the establishment of resource-saving society, the economic load dispatch (ELD) has become an important and practical optimization problem [1,2,3]

  • An Economic Load Dispatch Problem Based on Improved Symbiosis Particle Swarm Optimization Algorithm. e ELD problem can be solved by the proposed improved symbiosis particle swarm optimization (ISPSO) algorithm, the detailed description of which is as follows: (1) e velocity and position of all particles in the three swarms can be initialized by formula (16), which is shown as follows :

  • An ISPSO algorithm was proposed for solving the ELD problem. e ISPSO algorithm successfully introduced the strategy of mutualistic symbiosis in nature, which was that biological populations would benefit and influence each other

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Summary

Introduction

With the rapid development of market system and the establishment of resource-saving society, the economic load dispatch (ELD) has become an important and practical optimization problem [1,2,3]. An improved chaos particle swarm optimization (ICPSO) algorithm had been presented by Han et al to solve the ELD problem for thermal power plants in 2015. A new approach to economic dispatch problem using a hybrid algorithm named ACO-ABC-HS was put forward by Sen and Mathur in the year of 2016, which combined the framework of ant colony optimization (ACO), artificial bee colony (ABC), and harmonic search (HS) It could find out the optimum results satisfying minimizing the costs of generation [17]. In 2019, a new phasor particle swarm optimization (PPSO) algorithm was put forward by Gholamghasemi et al to solve the nonconvex economic load dispatch problems It is efficient and reliable [18]. An improved symbiosis particle swarm optimization (ISPSO) algorithm was proposed It mainly focused on solving the ELD problem.

An Improved Symbiosis Particle Swarm Optimization Algorithm
Experiment and Simulation
Conclusions
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