Multi-Rate Sampling-Based H∞ LFC for Networked Power Systems: An Area-Information-Fusion Method

This study explores the multi-rate sampling-based H∞ load frequency control (LFC) problem for networked power systems by using an area-information-fusion method. This problem is addressed for two reasons: (1) most of networked control methods for LFC are focused on the one-rate sampling scheme and (2) the previous looped function cannot be directly applied within the multi-rate sampling scheme. Here, the multi-rate sampling scheme involves each area sampling rate being reliant on its own sensor. Namely, all area sampling rates are different from each other. In the presence of a multi-rate sampling scheme, a new sampling instants sequence is established by using an area-information-fusion method. It contributes to constructing a corresponding closed-loop model by adding virtual state variables. In addition, a new looped-function approach is devised to capture the sampling information from diverse area sensors. Based on Lyapunov stability theory, less conservative LMI conditions are derived to guarantee the H∞ performance of the multi-rate LFC system. Additionally, a co-designed method for determining the control gain and maximum sampling frequency is established. Finally, simulation studies are conducted to validate the efficacy and features of the proposed control strategy.

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Publication Details

Journal
Mathematics
Published
2026-03-27
DOI
https://doi.org/10.3390/math14071122
Primary Topic
Frequency Control in Power Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Multi-Rate Sampling-Based H∞ LFC for Networked Power Systems: An Area-Information-Fusion Method

Roger Yin, Zhang Yi, L.F. Wang, Chengpeng Zhang
Mathematics
Frequency Control in Power Systems
article

Multi-Rate Sampling-Based H∞ LFC for Networked Power Systems: An Area-Information-Fusion Method

Roger Yin, Zhang Yi, L.F. Wang, Chengpeng Zhang
article en

Abstract

This study explores the multi-rate sampling-based H∞ load frequency control (LFC) problem for networked power systems by using an area-information-fusion method. This problem is addressed for two reasons: (1) most of networked control methods for LFC are focused on the one-rate sampling scheme and (2) the previous looped function cannot be directly applied within the multi-rate sampling scheme. Here, the multi-rate sampling scheme involves each area sampling rate being reliant on its own sensor. Namely, all area sampling rates are different from each other. In the presence of a multi-rate sampling scheme, a new sampling instants sequence is established by using an area-information-fusion method. It contributes to constructing a corresponding closed-loop model by adding virtual state variables. In addition, a new looped-function approach is devised to capture the sampling information from diverse area sensors. Based on Lyapunov stability theory, less conservative LMI conditions are derived to guarantee the H∞ performance of the multi-rate LFC system. Additionally, a co-designed method for determining the control gain and maximum sampling frequency is established. Finally, simulation studies are conducted to validate the efficacy and features of the proposed control strategy.

MathematicsVol. 14(7)
Shandong University of Science and Technology (CN)
Openalex Percentile: Top 5%
Frequency Control in Power Systems
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