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PID passivity‐based droop control of power converters: Large‐signal stability, robustness and performance
Author(s) -
Zonetti Daniele,
BergnaDiaz Gilbert,
Ortega Romeo,
Monshizadeh Nima
Publication year - 2022
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5917
Subject(s) - control theory (sociology) , robustness (evolution) , voltage droop , pid controller , converters , passivity , computer science , robust control , control engineering , voltage , engineering , control system , voltage source , temperature control , control (management) , biochemistry , chemistry , artificial intelligence , electrical engineering , gene
We present a full review of PID passivity‐based controllers (PBC) applied to power electronic converters, discussing limitations, unprecedented merits and potential improvements in terms of large‐signal stability, robustness and performance. We provide four main contributions. The nominal case is first considered and it is shown—under the assumption of perfect knowledge of the system parameters—that the PID‐PBC is able to guarantee global exponential stability of a desired operating point for any positive gains. Second, we analyze robustness of the controller to parameters uncertainty for a specific class of power converters, by establishing precise stability margins. Third, we propose a modification of the controller by introducing a leakage, in order to overcome some of the intrinsic performance and robustness limitations. Interestingly, such controller can be interpreted at steady‐state as a droop between the input and the passive output, similar to traditional primary controllers. Fourth, we robustify the design against saturation of the control input via an appropriate monotone transformation of the controller. The obtained results are thoroughly discussed and validated by simulations on two relevant power applications: a DC/DC boost converter and an HVDC grid‐connected voltage source converter.