A Hybrid Rough Set Theory-PSO Technique for Solving of Non-convex Economic Load Dispatch

다국어 초록 (Multilingual Abstract)

This paper applies a novel hybrid rough set theory-particle swarm optimizer technique, namely rough particle swarm optimization (RPSO) algorithm, for solving non-convex economic load dispatch (NELD) problem. The RPSO algorithm is based on the notion of rough patterns that uses rough values defined with upper and lower intervals in which represent a set of values. This RPSO method is suggested to deal with the practical constraints such as valve point loading effect, generation limitation, ramp rate limits and prohibited operating zones in the NELD problems. Simulations were performed on four different power systems with 3, 6, 15 and 40 generating units and the results are compared with classical PSO and crazy PSO algorithms. The results of this study reveal that the proposed approach is able to find appreciable NELD solutions than those of previous algorithms.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. Formulation of ELD Problem
• 2.1. Convex Objective Function
• 2.2. Non-convex Cost Function with Valve-point Loading Effects
• 2.3. Equality and Inequality Constraints
• 3. Review of CPSO, CRAZY PSO and RPSO
• 3.1. Classical PSO
• 3.2. Crazy PSO
• 3.3. Rough PSO
• 4. Implementation of RPSO
• 5. Test and Results
• 5.1 Case Study I: Three Units System
• 5.2. Case Study II: Six Units System
• 5.3. Case Study III: Fifteen Units System
• 5.4. Case Study IV: Forty Units System
• 6. Conclusions
• References