Novel Stability Criteria of Cyber-Physical Microgrid Systems via Adjustable-Parameter-Square-Dependent Mixed Convex Combination
An open network with low-bandwidth communication channels is applied to support the information exchange in the cyber-physical microgrid system, making the load frequency control (LFC) subject to inherent time-varying delay. In the stability analysis for delayed microgrid systems with LFC scheme, it...
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| Published in | IEEE transactions on power systems Vol. 40; no. 1; pp. 933 - 946 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.01.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0885-8950 1558-0679 |
| DOI | 10.1109/TPWRS.2024.3382146 |
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| Abstract | An open network with low-bandwidth communication channels is applied to support the information exchange in the cyber-physical microgrid system, making the load frequency control (LFC) subject to inherent time-varying delay. In the stability analysis for delayed microgrid systems with LFC scheme, it is crucial to estimate reciprocally convex and quadratic polynomial function terms on the time-varying delay in the Lyapunov-Krasovskii functional (LKF) derivative for obtaining less conservative stability criteria. In this paper, an adjustable-parameter-square-dependent mixed convex combination strategy is proposed, in which <inline-formula><tex-math notation="LaTeX">\alpha ^{2}</tex-math></inline-formula>-dependent reciprocally convex combination lemma introduces some <inline-formula><tex-math notation="LaTeX">d^{2}(t)</tex-math></inline-formula> terms into the LKF derivative, and <inline-formula><tex-math notation="LaTeX">\beta ^{2}</tex-math></inline-formula> and <inline-formula><tex-math notation="LaTeX">M^{2}</tex-math></inline-formula>-dependent quadratic convex combination lemma relaxes the negativeness condition of the quadratic polynomial function with greater freedom. Based on the augmented LKF and mixed convex combination approaches, more relaxed stability criteria are derived. Finally, simulation examples are given to verify the generality of the proposed method and its superiority in stability analysis of microgrid systems. |
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| AbstractList | An open network with low-bandwidth communication channels is applied to support the information exchange in the cyber-physical microgrid system, making the load frequency control (LFC) subject to inherent time-varying delay. In the stability analysis for delayed microgrid systems with LFC scheme, it is crucial to estimate reciprocally convex and quadratic polynomial function terms on the time-varying delay in the Lyapunov-Krasovskii functional (LKF) derivative for obtaining less conservative stability criteria. In this paper, an adjustable-parameter-square-dependent mixed convex combination strategy is proposed, in which [Formula Omitted]-dependent reciprocally convex combination lemma introduces some [Formula Omitted] terms into the LKF derivative, and [Formula Omitted] and [Formula Omitted]-dependent quadratic convex combination lemma relaxes the negativeness condition of the quadratic polynomial function with greater freedom. Based on the augmented LKF and mixed convex combination approaches, more relaxed stability criteria are derived. Finally, simulation examples are given to verify the generality of the proposed method and its superiority in stability analysis of microgrid systems. An open network with low-bandwidth communication channels is applied to support the information exchange in the cyber-physical microgrid system, making the load frequency control (LFC) subject to inherent time-varying delay. In the stability analysis for delayed microgrid systems with LFC scheme, it is crucial to estimate reciprocally convex and quadratic polynomial function terms on the time-varying delay in the Lyapunov-Krasovskii functional (LKF) derivative for obtaining less conservative stability criteria. In this paper, an adjustable-parameter-square-dependent mixed convex combination strategy is proposed, in which <inline-formula><tex-math notation="LaTeX">\alpha ^{2}</tex-math></inline-formula>-dependent reciprocally convex combination lemma introduces some <inline-formula><tex-math notation="LaTeX">d^{2}(t)</tex-math></inline-formula> terms into the LKF derivative, and <inline-formula><tex-math notation="LaTeX">\beta ^{2}</tex-math></inline-formula> and <inline-formula><tex-math notation="LaTeX">M^{2}</tex-math></inline-formula>-dependent quadratic convex combination lemma relaxes the negativeness condition of the quadratic polynomial function with greater freedom. Based on the augmented LKF and mixed convex combination approaches, more relaxed stability criteria are derived. Finally, simulation examples are given to verify the generality of the proposed method and its superiority in stability analysis of microgrid systems. |
| Author | Zhang, Junpeng Yang, Long Yang, Feisheng He, Jing |
| Author_xml | – sequence: 1 givenname: Jing orcidid: 0000-0003-4460-0764 surname: He fullname: He, Jing organization: College of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an, China – sequence: 2 givenname: Junpeng orcidid: 0009-0008-6749-9375 surname: Zhang fullname: Zhang, Junpeng organization: College of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an, Shaanxi – sequence: 3 givenname: Long orcidid: 0009-0002-3370-6838 surname: Yang fullname: Yang, Long organization: College of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an, Shaanxi – sequence: 4 givenname: Feisheng orcidid: 0000-0002-6836-6864 surname: Yang fullname: Yang, Feisheng email: yangfeisheng@nwpu.edu.cn organization: School of Automation, Northwestern Polytechnical University, Xi'an, China |
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| SubjectTerms | Control systems Cyber-physical microgrid Delays Derivatives Distributed generation Frequency control Functions (mathematics) Information systems Linear matrix inequalities load frequency control Microgrids Parameters Polynomials Simulation Stability analysis Stability augmentation Stability criteria Symmetric matrices Time varying control time-varying delay Vectors |
| Title | Novel Stability Criteria of Cyber-Physical Microgrid Systems via Adjustable-Parameter-Square-Dependent Mixed Convex Combination |
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