Abstract

Few non-traditional optimization techniques are applied to the dynamic economic dispatch (DED) of large-scale thermal power units (TPUs), e.g., 1000 TPUs, that consider the effects of valve-point loading with ramp-rate limitations. This is a complicated multiple mode problem. In this investigation, a novel optimization technique, namely, a multi-gradient particle swarm optimization (MG-PSO) algorithm with two stages for exploring and exploiting the search space area, is employed as an optimization tool. The M particles (explorers) in the first stage are used to explore new neighborhoods, whereas the M particles (exploiters) in the second stage are used to exploit the best neighborhood. The M particles’ negative gradient variation in both stages causes the equilibrium between the global and local search space capabilities. This algorithm’s authentication is demonstrated on five medium-scale to very large-scale power systems. The MG-PSO algorithm effectively reduces the difficulty of handling the large-scale DED problem, and simulation results confirm this algorithm’s suitability for such a complicated multi-objective problem at varying fitness performance measures and consistency. This algorithm is also applied to estimate the required generation in 24 h to meet load demand changes. This investigation provides useful technical references for economic dispatch operators to update their power system programs in order to achieve economic benefits.

Highlights

  • Renewable power has been positively used in most power generating systems (PGSs), fossil fuels remain the predominant energy source for thermal power units (TPUs)

  • Every non-traditional optimization techniques (NTOTs) is employed with Nrun independent runs; Every NTOT is employed with Niter iterations; The ensemble averge operating fuel costs (OFCs) ( Fcost ) values in USD were determined by Equation (1)

  • The multi-gradient particle swarm optimization (MG-particle swarm optimization (PSO)) algorithm is positively used to cover the lack of non-traditional optimization techniques (NTOTs) in solving the real power limitations in the dynamic economic dispatch of large-scale thermal power units under valve-point loading and ramp-rate limitations

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Summary

Limitations

Sustainability 2021, 13, Keywords: dynamic economic dispatch; valve-point loading; ramp-rate limitations; multi-gradient.

Introduction
Mathematical Formation of the DED of Real Power
GPSO-w Algorithm
MG-PSO Algorithm
MG-PSO Algorithm Learning Strategy
MG-PSO Algorithm Structure
Illustrative Example
21.60 Equations
Case Studies and Simulation Results
Performance and Fitness Measures
MG-PSO Algorithm with Several Fitness Measures
Findings
Conclusions

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