Design of H∞-based Robust Controller for Single-phase Grid-feeding Voltage Source Inverters

Soham Chakraborty; Sourav Patel; Murti V. Salapaka

doi:10.1109/naps50074.2021.9449747

Design of H∞-based Robust Controller for Single-phase Grid-feeding Voltage Source Inverters

Soham Chakraborty, Sourav Patel, Murti V. Salapaka

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This article proposes the design of H∞ -based robust current controller for single-phase grid-feeding voltage source inverter with an LCL filter. The main objective of the proposed controller is to have good reference tracking, disturbance rejection and sufficient LCL resonance damping under a large range of variations of grid impedance. Based on the aforementioned performance requirements, frequency dependent weighting functions are designed. Subsequently, the sub-optimal control problem is formulated and solved to determine the stabilizing controller. Computational footprint of the controller is addressed for ease-of-implementability on low-cost controller boards. Finally controller hardware-in-the-loop simulations on OPAL-RT are performed in the validation stage to obtain performance guarantees of the controller. The proposed controller exhibits fast response during transients and superior reference tracking, disturbance rejection at steady-state when compared with proportional- and resonant-based current controllers.

Original language	English (US)
Title of host publication	2020 52nd North American Power Symposium, NAPS 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728181929
DOIs	https://doi.org/10.1109/naps50074.2021.9449747
State	Published - Apr 11 2021
Event	52nd North American Power Symposium, NAPS 2020 - Tempe, United States Duration: Apr 11 2021 → Apr 13 2021

Publication series

Name	2020 52nd North American Power Symposium, NAPS 2020

Conference

Conference	52nd North American Power Symposium, NAPS 2020
Country/Territory	United States
City	Tempe
Period	4/11/21 → 4/13/21

Bibliographical note

Funding Information:
ACKNOWLEDGMENT The authors acknowledge Advanced Research Projects Agency-Energy (ARPA-E) for supporting this research through the project titled “Rapidly Viable Sustained Grid” via grant no. DE-AR0001016.

Publisher Copyright:
© 2021 IEEE.

Keywords

H∞-based loop shaping
current controller
parametric uncertainty
robust control
voltage source inverter

Publisher link

10.1109/naps50074.2021.9449747

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Chakraborty, S., Patel, S., & Salapaka, M. V. (2021). Design of H∞-based Robust Controller for Single-phase Grid-feeding Voltage Source Inverters. In 2020 52nd North American Power Symposium, NAPS 2020 [9449747] (2020 52nd North American Power Symposium, NAPS 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/naps50074.2021.9449747

Design of H∞-based Robust Controller for Single-phase Grid-feeding Voltage Source Inverters. / Chakraborty, Soham; Patel, Sourav; Salapaka, Murti V.

2020 52nd North American Power Symposium, NAPS 2020. Institute of Electrical and Electronics Engineers Inc., 2021. 9449747 (2020 52nd North American Power Symposium, NAPS 2020).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chakraborty, S, Patel, S & Salapaka, MV 2021, Design of H∞-based Robust Controller for Single-phase Grid-feeding Voltage Source Inverters. in 2020 52nd North American Power Symposium, NAPS 2020., 9449747, 2020 52nd North American Power Symposium, NAPS 2020, Institute of Electrical and Electronics Engineers Inc., 52nd North American Power Symposium, NAPS 2020, Tempe, United States, 4/11/21. https://doi.org/10.1109/naps50074.2021.9449747

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abstract = "This article proposes the design of H∞ -based robust current controller for single-phase grid-feeding voltage source inverter with an LCL filter. The main objective of the proposed controller is to have good reference tracking, disturbance rejection and sufficient LCL resonance damping under a large range of variations of grid impedance. Based on the aforementioned performance requirements, frequency dependent weighting functions are designed. Subsequently, the sub-optimal control problem is formulated and solved to determine the stabilizing controller. Computational footprint of the controller is addressed for ease-of-implementability on low-cost controller boards. Finally controller hardware-in-the-loop simulations on OPAL-RT are performed in the validation stage to obtain performance guarantees of the controller. The proposed controller exhibits fast response during transients and superior reference tracking, disturbance rejection at steady-state when compared with proportional- and resonant-based current controllers.",

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N1 - Funding Information: ACKNOWLEDGMENT The authors acknowledge Advanced Research Projects Agency-Energy (ARPA-E) for supporting this research through the project titled “Rapidly Viable Sustained Grid” via grant no. DE-AR0001016. Publisher Copyright: © 2021 IEEE.

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N2 - This article proposes the design of H∞ -based robust current controller for single-phase grid-feeding voltage source inverter with an LCL filter. The main objective of the proposed controller is to have good reference tracking, disturbance rejection and sufficient LCL resonance damping under a large range of variations of grid impedance. Based on the aforementioned performance requirements, frequency dependent weighting functions are designed. Subsequently, the sub-optimal control problem is formulated and solved to determine the stabilizing controller. Computational footprint of the controller is addressed for ease-of-implementability on low-cost controller boards. Finally controller hardware-in-the-loop simulations on OPAL-RT are performed in the validation stage to obtain performance guarantees of the controller. The proposed controller exhibits fast response during transients and superior reference tracking, disturbance rejection at steady-state when compared with proportional- and resonant-based current controllers.

AB - This article proposes the design of H∞ -based robust current controller for single-phase grid-feeding voltage source inverter with an LCL filter. The main objective of the proposed controller is to have good reference tracking, disturbance rejection and sufficient LCL resonance damping under a large range of variations of grid impedance. Based on the aforementioned performance requirements, frequency dependent weighting functions are designed. Subsequently, the sub-optimal control problem is formulated and solved to determine the stabilizing controller. Computational footprint of the controller is addressed for ease-of-implementability on low-cost controller boards. Finally controller hardware-in-the-loop simulations on OPAL-RT are performed in the validation stage to obtain performance guarantees of the controller. The proposed controller exhibits fast response during transients and superior reference tracking, disturbance rejection at steady-state when compared with proportional- and resonant-based current controllers.

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Design of H∞-based Robust Controller for Single-phase Grid-feeding Voltage Source Inverters

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