Economic Emission Load Dispatch Problem with Valve-Point Loading Using a Novel Quasi-Oppositional-Based Political Optimizer

Vedik Basetti,Tomonobu Senjyu,Ritesh Kumar,Shriram S Rangarajan,Randolph E Collins,Harish Pulluri,Chandan Kumar Shiva

doi:10.3390/electronics10212596

Abstract

In the present paper, a novel meta-heuristic algorithm, namely quasi-oppositional search-based political optimizer (QOPO), is proposed to solve a non-convex single and bi-objective economic and emission load dispatch problem (EELDP). In the proposed QOPO technique, an opposite estimate candidate solution is performed simultaneously on each candidate solution of the political optimizer to find a better solution of EELDP. In the bi-objective EELDP, QOPSO is applied to simultaneously minimize fuel costs and emissions by considering various constraints such as the valve-point loading effect (VPLE) and generator limits for a generation. The effectiveness of the proposed QOPO technique has been applied on three units, six units, 10-units, 11-units, 13-units, and 40-unit systems by considering the VPLE, transmission line losses, and generator limits. The results obtained using the proposed QOPO are compared with those obtained by other techniques reported in the literature. The relative results divulge that the proposed QOPO technique has a good exploration and exploitation capability to determine the optimal global solution compared to the other methods provided in the literature without violation of any constraints and bounded limits.

Highlights

With the growing demand for power day by day, the cost incurred in generating power, in fossil fuel plants, is very high
The proposed quasi-oppositional searchbased political optimizer (QOPO) technique has been executed with a population size of 64 (the number of parties (8) multiplied by the number of constituencies (8)) and a lambda value of 0.2
It has been found that the cost of saving fuel cost has been increased from 0.01 USD/h to 21.77 USD/h as system size increases from three units to forty units, respectively

Summary

Introduction

With the growing demand for power day by day, the cost incurred in generating power, in fossil fuel plants, is very high. The objective of the economic load dispatch problem (ELDP) is to schedule the committed power generating units output to meet the required load demand at minimum fuel cost and satisfy all the system and generating unit constraints. Even though the interior point approach is said to be more efficient computationally, in the case of non-linear objective functions, it may offer an infeasible solution due to improper selection of the step size [4]. These conventional techniques require incremental fuel cost curves, which are monotonously increasing/piece-wise linear in nature. To overcome the drawbacks of conventional techniques, various soft computing methods have been suggested in the literature

Methods

Results

Conclusion