Abstract

An innovative union of fuzzy controller and proportional-integral-derivative (PID) controller under the environment of fractional order (FO) calculus is described in the present study for an isolated hybrid power system (IHPS) in the context of load frequency control. The proposed controller is designated as FO-fuzzy PID (FO-F-PID) controller. The undertaken model of IHPS presented here involves different independent power-producing units, a wind energy-based generator, a diesel engine-based generator and a device for energy storage (such as a superconducting magnetic energy storage system). The selection of the system and controller gains was achieved through a unique quasi-oppositional harmony search (QOHS) algorithm. The QOHS algorithm is based on the basic harmony search (HS) algorithm, in which the combined concept of quasi-opposition initialization and HS algorithm fastens the profile of convergence for the algorithm. The competency and potency of the intended FO-F-PID controller were verified by comparing its performance with three different controllers (integer-order (IO)-fuzzy-PID (IO-F-PID) controller, FO-PID and IO-PID controller) in terms of deviation in frequency and power under distinct perturbations in load demand conditions. The obtained simulation results validate the cutting-edge functioning of the projected FO-F-PID controller over the IO-F-PID, FO-PID and IO-PID controllers under non-linear and linear functioning conditions. In addition, the intended FO-F-PID controller, considered a hybrid model, proved to be more robust against the mismatches in loading and the non-linearity in the form of rate constraint under the deviation in frequency and power front.

Highlights

  • Licensee MDPI, Basel, Switzerland.A number of studies have confirmed that the availability of electricity to communities can deliver several socio-economic gains such as a superior education system, effective business models and better healthcare opportunities [1,2]

  • Challenges such as (a) the overemployment of diesel engine generators (DEGs) systems for electrification, (b) fossil fuel rapid exhaustion, (c) countryside electrification and (d) global warming are foreseen and solved with a trustworthy and controlled inexhaustible energy source based on isolated hybrid power system (IHPS)

  • The following outcomes are achieved with various system configurations: (a)

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Summary

Introduction

In the current study, the newest and effective QOHS algorithm [29] is implemented with the view of controlling the deviation in power flow alongside the variation by optimal tunning of the vital optimizable variables of the considered IHPS on its installed controllers and ESD. A new modified HS algorithm considers the concept of quasi-oppositional learning, i.e., the QOHS algorithm, recognized for efficient optimization process in regulating the deviations of frequency and power This may be achieved by appropriately optimizing the vital optimizable variables of the IHPS system under study. Enhance the objective function-based convergence profile while employing the QOHS algorithm (a new HS algorithm variant, inspired by the concept of quasi-oppositional learning) for optimizing the tuning purpose of the optimizable variables of the controllers with additional vital variables of the system under study.

System Model
SMES Configuration
Designing of the System Controller
Essentials of FO Calculus
IO and FO Based PID Controllers
IO and FO Fuzzy-PID Controllers
Performance Index
HS Algorithm
Quasi-Oppositional Learning: A Concept
Quasi-Oppositional Population Initialization
Quasi-Oppositional Generation Jumping
QOHS Algorithm
Simulation and Result Analysis
Performance Analysis of Different Controller-Based Configurations
Case Study I
Robustness Analysis of Different Controller-Based Configurations
Case Study III
Case Study IV
Case Study V
Case Study VI
Findings
Conclusions
Full Text
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