Impact of parameter control on the performance of APSO and PSO algorithms for the CSTHTS problem: An improvement in algorithmic structure and results.

Muhammad Ahmad Iqbal,Muhammad Salman Fakhar,Syed Abdul Rahman Kashif,Rehan Naeem,Akhtar Rasool,Yang Li

doi:10.1371/journal.pone.0261562

Muhammad Ahmad Iqbal, Muhammad Salman Fakhar + Show 4 more

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https://doi.org/10.1371/journal.pone.0261562

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Abstract

Cascaded Short Term Hydro-Thermal Scheduling problem (CSTHTS) is a single objective, non-linear multi-modal or convex (depending upon the cost function of thermal generation) type of Short Term Hydro-Thermal Scheduling (STHTS), having complex hydel constraints. It has been solved by many metaheuristic optimization algorithms, as found in the literature. Recently, the authors have published the best-achieved results of the CSTHTS problem having quadratic fuel cost function of thermal generation using an improved variant of the Accelerated PSO (APSO) algorithm, as compared to the other previously implemented algorithms. This article discusses and presents further improvement in the results obtained by both improved variants of APSO and PSO algorithms, implemented on the CSTHTS problem.

Highlights

The Cascaded Short Term Hydro-Thermal Scheduling problem (CSTHTS) is a type of highly multi-modal, multi-dimensional, non-linear, and non-convex optimization problem which deals with the economic dispatch of power among hydel and thermal generating units
It can be seen that Accelerated particle swarm optimization (PSO) (APSO) variant-16 gives the best results compared with the remaining fifteen variants of APSO in terms of minimum, maximum, average, and standard deviation of cost achieved for the CSTHTS problem, considered in this article
The PSO variant (Improved PSO) applied to the CSTHTS problem gives the best-achieved minimum result so far compared to the sixteen variants of APSO discussed in this article as well as results reported in the literature, according to the reference [24]

Summary

Introduction

The CSTHTS is a type of highly multi-modal, multi-dimensional, non-linear, and non-convex optimization problem which deals with the economic dispatch of power among hydel and thermal generating units. It can be modeled in generic form using the Eqs 1–9, as suggested in reference [1]. Nm Fðm;iÞ ð1Þ m1⁄41 i1⁄41 where, nm is the number of hours in the scheduling period ‘m’ and F(m,i) is the per hour cost of the thermal generating unit. Eq 1 presents the main objective function of the CSTHTS. Impact of parameter control on the performance of APSO and PSO algorithms for the CSTHTS problem

Results

Discussion

Conclusion