μ approach to robust stability domains in the space of parametric uncertainties for a power system with ideal CPL

Sumsurooah, Sharmila; Odavic, Milijana; Bozhko, Serhiy

Abstract

Power electronic systems are prone to instability. The problem, generally attributed to the constant power load (CPL) behaviour of their power electronic controlled loads, can become more acute when the systems are subject to parametric uncertainties. The structured singular value (SSV) based method has proven to be a reliable approach for assessing the stability robustness of such uncertain systems. Despite its numerous benefits, the method is not often applied to electrical power systems (EPS) with multiple uncertainties. This may be due to the mathematical complexity underlying the theory. This work aims to make the approach more application-friendly by providing clearer insights into the meaning and usefulness of the robust stability measure for EPS with multiple parametric uncertainties. This is achieved by presenting a methodology for translating analysis results from the frequency domain to the more perceivable uncertain parameters domain. The method directly demonstrates dependences of system stability on uncertain system parameters. Further, it clearly identifies robust stability domains as subsets of the much wider stability domains. The work is based on a representative EPS connected to an ideal CPL. analysis predictions are evaluated and validated against analytical results for the example CPL system.

Citation

Sumsurooah, S., Odavic, M., & Bozhko, S. (in press). μ approach to robust stability domains in the space of parametric uncertainties for a power system with ideal CPL. IEEE Transactions on Power Electronics, https://doi.org/10.1109/TPEL.2017.2668900

• Journal Article Type: Article
• Acceptance Date: Jan 30, 2017
• Online Publication Date: Feb 14, 2017
• Deposit Date: Mar 9, 2017
• Publicly Available Date: Mar 9, 2017
• Journal: IEEE Transactions on Power Electronics
• Print ISSN: 0885-8993
• Electronic ISSN: 1941-0107
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Issue: 99
• DOI: https://doi.org/10.1109/TPEL.2017.2668900
• Keywords: Robust stability analysis, Linear fractional transformation, Structured singular value, analysis
• Public URL: https://nottingham-repository.worktribe.com/output/845937
• Publisher URL: http://ieeexplore.ieee.org/document/7855819/
• Additional Information: (c)2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
• Contract Date: Mar 9, 2017