Optimal control for power converters based on phase angle feedback

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Abstract

Starting from the Hamilton-Jacobi-Bellman (HJB) equation, we derive an optimal feedback controller that makes
use of available phase angle measurements to drive the phase angles of output voltages of DC/AC converters towards steady state angles that are frequency synchronous. The unique optimal controller that solves the HJB equations is the angular droop control, and it guarantees exponential stability of the desired steady state angles. Our approach can be generalized to synthesize optimal feedback controllers in other, similar setups. For the
linearized system, the angular droop control is locally optimal in the H2 sense and has active power to phase angle droop behavior. Additionally, we conduct a performance analysis using system H2 norm to show that the angular droop improves significantly upon standard frequency droop control during transients and has better scalability to large networks. Finally, we suggest a practical implementation of the angular droop control and corroborate our results numerically through two different test cases.

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Subject classification (UKÄ) – MANDATORY

  • Control Engineering
Original languageEnglish
JournalUnder Review
Publication statusSubmitted - 2021
Publication categoryResearch
Peer-reviewedYes

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