Design and Optimization of PID Controller for Renewable Energy Integrated Power System Using Model Order Reduction

ABSTRACT This article presents the design of a proportional‐integral‐derivative (PID) controller for a renewable energy (RE) integrated power system using model order reduction (MOR). A test case of an 11th‐order RE‐integrated power system from the literature has been used to validate the applied method. The reduction of the 11th‐order Renewable Energy (RE) integrated power system model to a 2nd‐order model is achieved using a combination of Pade approximation (PA) and direct truncation (DT) (PA‐DT) method. Further, the grey wolf optimization (GWO) technique is employed to determine the optimal parameters for the PID controller for the reduced‐order model. The designed controller is then directly applied to the high‐order system (HOS). This proposed PID design method via PA‐DT MOR for the RE integrated power system is a novel technique because, at this stage, no publications related to this combined method are available. The suggested approach is supported by the time and frequency responses. Time domain specifications (TDSs) and performance error indices (PEIs), and statistical analysis are also provided to demonstrate the efficacy of the suggested method.

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Publication Details

Journal
Advanced Control for Applications
Published
2026-02-05
DOI
https://doi.org/10.1002/adc2.70051
Primary Topic
Frequency Control in Power Systems
Type
article
Field-Weighted Citation Impact
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article

Design and Optimization of PID Controller for Renewable Energy Integrated Power System Using Model Order Reduction

Salik Ram Dewangan, P. D. Dewangan, V. P. Singh
Advanced Control for Applications
Frequency Control in Power Systems
article

Design and Optimization of PID Controller for Renewable Energy Integrated Power System Using Model Order Reduction

Salik Ram Dewangan, P. D. Dewangan, V. P. Singh
article en

Abstract

ABSTRACT This article presents the design of a proportional‐integral‐derivative (PID) controller for a renewable energy (RE) integrated power system using model order reduction (MOR). A test case of an 11th‐order RE‐integrated power system from the literature has been used to validate the applied method. The reduction of the 11th‐order Renewable Energy (RE) integrated power system model to a 2nd‐order model is achieved using a combination of Pade approximation (PA) and direct truncation (DT) (PA‐DT) method. Further, the grey wolf optimization (GWO) technique is employed to determine the optimal parameters for the PID controller for the reduced‐order model. The designed controller is then directly applied to the high‐order system (HOS). This proposed PID design method via PA‐DT MOR for the RE integrated power system is a novel technique because, at this stage, no publications related to this combined method are available. The suggested approach is supported by the time and frequency responses. Time domain specifications (TDSs) and performance error indices (PEIs), and statistical analysis are also provided to demonstrate the efficacy of the suggested method.

Advanced Control for ApplicationsVol. 8(1)
National Institute of Technology Raipur (IN), Malaviya National Institute of Technology Jaipur (IN)
Affordable and clean energy
Openalex Percentile: Top 65%
Frequency Control in Power Systems
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Design and Optimization of PID Controller for Renewable Energy Integrated Power System Using Model Order Reduction — Salik Ram Dewangan, P. D. Dewangan, et al. · Advanced Control for Applications (2026) | TGRS Research Map | TGRS