Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach
This article proposes a discrete proportional-integral-derivative (PID) load frequency control (LFC) scheme to investigate the dissipative analysis issue of restructured wind power systems via a non-fragile design approach. Firstly, by taking the different power-sharing rates of governors into full...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/14/3252 |
| _version_ | 1797588385893711872 |
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| author | Hanmei Zhou Qishui Zhong Shaoyu Hu Jin Yang Kaibo Shi Shouming Zhong |
| author_facet | Hanmei Zhou Qishui Zhong Shaoyu Hu Jin Yang Kaibo Shi Shouming Zhong |
| author_sort | Hanmei Zhou |
| collection | DOAJ |
| description | This article proposes a discrete proportional-integral-derivative (PID) load frequency control (LFC) scheme to investigate the dissipative analysis issue of restructured wind power systems via a non-fragile design approach. Firstly, by taking the different power-sharing rates of governors into full consideration, a unified model is constructed for interconnected power systems containing multiple governors. Secondly, unlike existing LFC schemes, a non-fragile discrete PID control scheme is designed, which has the performance of tolerating control gain fluctuation and relieving the huge computational burden. Further, by constructing a discrete-type Lyapunov–Krasovskii functional, improved stability criteria with a strict dissipative performance index are established. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed control method. |
| first_indexed | 2024-03-11T00:52:09Z |
| format | Article |
| id | doaj.art-d483993f61db46798c4cf0baa6747bd5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:52:09Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d483993f61db46798c4cf0baa6747bd52023-11-18T20:22:50ZengMDPI AGMathematics2227-73902023-07-011114325210.3390/math11143252Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design ApproachHanmei Zhou0Qishui Zhong1Shaoyu Hu2Jin Yang3Kaibo Shi4Shouming Zhong5The Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, ChinaThe Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, ChinaThe Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, ChinaThe Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, ChinaThe Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, ChinaSchool of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, ChinaThis article proposes a discrete proportional-integral-derivative (PID) load frequency control (LFC) scheme to investigate the dissipative analysis issue of restructured wind power systems via a non-fragile design approach. Firstly, by taking the different power-sharing rates of governors into full consideration, a unified model is constructed for interconnected power systems containing multiple governors. Secondly, unlike existing LFC schemes, a non-fragile discrete PID control scheme is designed, which has the performance of tolerating control gain fluctuation and relieving the huge computational burden. Further, by constructing a discrete-type Lyapunov–Krasovskii functional, improved stability criteria with a strict dissipative performance index are established. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed control method.https://www.mdpi.com/2227-7390/11/14/3252discrete PIDLFCnon-fragile design approachstability criteriawind power system |
| spellingShingle | Hanmei Zhou Qishui Zhong Shaoyu Hu Jin Yang Kaibo Shi Shouming Zhong Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach Mathematics discrete PID LFC non-fragile design approach stability criteria wind power system |
| title | Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach |
| title_full | Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach |
| title_fullStr | Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach |
| title_full_unstemmed | Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach |
| title_short | Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach |
| title_sort | dissipative discrete pid load frequency control for restructured wind power systems via non fragile design approach |
| topic | discrete PID LFC non-fragile design approach stability criteria wind power system |
| url | https://www.mdpi.com/2227-7390/11/14/3252 |
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