Multivariable control of modular multilevel converters with convergence and safety guarantees
arxiv(2024)
摘要
Well-designed current control is a key factor in ensuring the efficient and
safe operation of modular multilevel converters (MMCs). Even though this
control problem involves multiple control objectives, conventional current
control schemes are comprised of independently designed decoupled controllers,
e.g., proportional-integral (PI) or proportional-resonant (PR). Due to the
bilinearity of the MMC dynamics, tuning PI and PR controllers so that good
performance and constraint satisfaction are guaranteed is quite challenging.
This challenge becomes more relevant in an AC/AC MMC configuration due to the
complexity of tracking the single-phase sinusoidal components of the MMC
output. In this paper, we propose a method to design a multivariable
controller, i.e., a static feedback gain, to regulate the MMC currents. We use
a physics-informed transformation to model the MMC dynamics linearly and
synthesise the proposed controller. We use this linear model to formulate a
linear matrix inequality that computes a feedback gain that guarantees safe and
effective operation, including (i) limited tracking error, (ii) stability, and
(iii) meeting all constraints. To test the efficacy of our method, we examine
its performance in a direct AC/AC MMC simulated in Simulink/PLECS and in a
scaled-down AC/AC MMC prototype to investigate the ultra-fast charging of
electric vehicles.
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