Stability boundary analysis in single-phase grid-connected inverters with PLL by LTP theory

Salis, Valerio; Costabeber, Alessando; Cox, Stephen M.; Zanchetta, Pericle; Formentini, Andrea

Abstract

Stability analysis of power converters in AC net¬works is complex due to the non-linear nature of the conversion systems. Whereas interactions of converters in DC networks can be studied by linearising about the operating point, the extension of the same approach to AC systems poses serious challenges, especially for single-phase or unbalanced three-phase systems. A general method for stability analysis of power converters suitable for single-phase or unbalanced AC networks is presented in this paper, based on Linear Time Periodic (LTP) theory. A single-phase grid-connected inverter with PLL is considered as case study. It is demonstrated that the stability boundaries can be precisely evaluated by the proposed method, despite the non-linearity introduced by the PLL. Simulation and experimental results from a 10kW laboratory prototype are provided to confirm the effectiveness of the proposed analysis.

Citation

Salis, V., Costabeber, A., Cox, S. M., Zanchetta, P., & Formentini, A. (2018). Stability boundary analysis in single-phase grid-connected inverters with PLL by LTP theory. IEEE Transactions on Power Electronics, 33(5), 4023-4036. https://doi.org/10.1109/TPEL.2017.2714860

• Journal Article Type: Article
• Acceptance Date: Jun 5, 2017
• Online Publication Date: Jun 13, 2017
• Publication Date: May 1, 2018
• Deposit Date: Aug 2, 2017
• Publicly Available Date: Aug 2, 2017
• Journal: IEEE Transactions on Power Electronics
• Print ISSN: 0885-8993
• Electronic ISSN: 0885-8993
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 33
• Issue: 5
• Pages: 4023-4036
• DOI: https://doi.org/10.1109/TPEL.2017.2714860
• Keywords: Linear Time Periodic Systems, Harmonic State Space Model, Stability Analysis, Power Converters, PLL
• Public URL: https://nottingham-repository.worktribe.com/output/930853
• Publisher URL: http://ieeexplore.ieee.org/document/7947192/
• Additional Information: ©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