New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids

Recent advancements in renewable generation resources and their vast implementation in power sectors have posed serious challenges regarding their operation, protection, and control. Maintaining operating frequency at its nominal value and reducing tie-line power deviations represent crucial factors...

Full description

Bibliographic Details
Main Authors: Emad A. Mohamed, Mokhtar Aly, Masayuki Watanabe
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/16/3006
_version_ 1827617771382374400
author Emad A. Mohamed
Mokhtar Aly
Masayuki Watanabe
author_facet Emad A. Mohamed
Mokhtar Aly
Masayuki Watanabe
author_sort Emad A. Mohamed
collection DOAJ
description Recent advancements in renewable generation resources and their vast implementation in power sectors have posed serious challenges regarding their operation, protection, and control. Maintaining operating frequency at its nominal value and reducing tie-line power deviations represent crucial factors for these advancements due to continuous reduction of power system inertia. In this paper, a new modified load frequency controller (LFC) method is proposed based on fractional calculus combinations. The tilt fractional-order integral-derivative with fractional-filter (TFOIDFF) is proposed in this paper for LFC applications. The proposed TFOIDFF controller combines the benefits of tilt, FOPID, and fractional filter regulators. Furthermore, a new application is introduced based on the recently presented artificial hummingbird optimizer algorithm (AHA) for simultaneous optimization of the proposed TFOIDFF parameters in the studied two-area power grids. The contribution of electric vehicle (EVs) is considered in the centralized control strategy using the proposed TFOIDFF controller. The performance of the proposed TFOIDFF controller has been compared with the existing tilt with filter, PID with filter, FOPID with filter and hybrid fractional-order with filter LFCs from the literature. Moreover, the AHA optimizer results are compared with the featured LFC optimization algorithms in the literature. The proposed TFOIDFF and AHA optimizer are validated against renewable energy fluctuations, load stepping, generation/loading uncertainty, and power-grid parameter uncertainty. The AHA optimizer is compared with the widely-used optimizers in the literature, including the PSO, ABC, BOA, and AEO optimizers at the IAE, ISE, ITAE, and ITSE objectives. For instance, the proposed AHA method has a minimized IAE after 34 iterations of 0.03178 compared to 0.03896 with PSO, 0.04548 with AEO, 0.04812 with BOA, and 0.05483 with ABC optimizer. Therefore, fast and better minimization of objective functions are achieved using the proposed AHA method.
first_indexed 2024-03-09T09:52:40Z
format Article
id doaj.art-367e3bd09a0f4958a3853a53289515d4
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-03-09T09:52:40Z
publishDate 2022-08-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-367e3bd09a0f4958a3853a53289515d42023-12-01T23:58:12ZengMDPI AGMathematics2227-73902022-08-011016300610.3390/math10163006New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power GridsEmad A. Mohamed0Mokhtar Aly1Masayuki Watanabe2Department of Electrical Engineering, Aswan University, Aswan 81542, EgyptFacultad de Ingeniería, Arquitectura y Diseño, Universidad San Sebastián, Bellavista 7, Santiago 8420000, ChileDepartment of Electrical and Electronic Engineering, Kyushu Institute of Technology, Kitakyushu 804-8550, Fukuoka, JapanRecent advancements in renewable generation resources and their vast implementation in power sectors have posed serious challenges regarding their operation, protection, and control. Maintaining operating frequency at its nominal value and reducing tie-line power deviations represent crucial factors for these advancements due to continuous reduction of power system inertia. In this paper, a new modified load frequency controller (LFC) method is proposed based on fractional calculus combinations. The tilt fractional-order integral-derivative with fractional-filter (TFOIDFF) is proposed in this paper for LFC applications. The proposed TFOIDFF controller combines the benefits of tilt, FOPID, and fractional filter regulators. Furthermore, a new application is introduced based on the recently presented artificial hummingbird optimizer algorithm (AHA) for simultaneous optimization of the proposed TFOIDFF parameters in the studied two-area power grids. The contribution of electric vehicle (EVs) is considered in the centralized control strategy using the proposed TFOIDFF controller. The performance of the proposed TFOIDFF controller has been compared with the existing tilt with filter, PID with filter, FOPID with filter and hybrid fractional-order with filter LFCs from the literature. Moreover, the AHA optimizer results are compared with the featured LFC optimization algorithms in the literature. The proposed TFOIDFF and AHA optimizer are validated against renewable energy fluctuations, load stepping, generation/loading uncertainty, and power-grid parameter uncertainty. The AHA optimizer is compared with the widely-used optimizers in the literature, including the PSO, ABC, BOA, and AEO optimizers at the IAE, ISE, ITAE, and ITSE objectives. For instance, the proposed AHA method has a minimized IAE after 34 iterations of 0.03178 compared to 0.03896 with PSO, 0.04548 with AEO, 0.04812 with BOA, and 0.05483 with ABC optimizer. Therefore, fast and better minimization of objective functions are achieved using the proposed AHA method.https://www.mdpi.com/2227-7390/10/16/3006artificial hummingbird algorithm (AHA)fractional-order controllerfrequency stabilityload frequency controlrenewable energy power grids
spellingShingle Emad A. Mohamed
Mokhtar Aly
Masayuki Watanabe
New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids
Mathematics
artificial hummingbird algorithm (AHA)
fractional-order controller
frequency stability
load frequency control
renewable energy power grids
title New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids
title_full New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids
title_fullStr New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids
title_full_unstemmed New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids
title_short New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids
title_sort new tilt fractional order integral derivative with fractional filter tfoidff controller with artificial hummingbird optimizer for lfc in renewable energy power grids
topic artificial hummingbird algorithm (AHA)
fractional-order controller
frequency stability
load frequency control
renewable energy power grids
url https://www.mdpi.com/2227-7390/10/16/3006
work_keys_str_mv AT emadamohamed newtiltfractionalorderintegralderivativewithfractionalfiltertfoidffcontrollerwithartificialhummingbirdoptimizerforlfcinrenewableenergypowergrids
AT mokhtaraly newtiltfractionalorderintegralderivativewithfractionalfiltertfoidffcontrollerwithartificialhummingbirdoptimizerforlfcinrenewableenergypowergrids
AT masayukiwatanabe newtiltfractionalorderintegralderivativewithfractionalfiltertfoidffcontrollerwithartificialhummingbirdoptimizerforlfcinrenewableenergypowergrids