Design of a Linear-Quadratic Regulator for a Three-Phase Power Converter

Brayan Figueroa; Hernan Mangas; Karina Vera; Jaime Rohten; Nathalie Risso

doi:10.1109/CHILECON54041.2021.9702928

Design of a Linear-Quadratic Regulator for a Three-Phase Power Converter

Brayan Figueroa
, Hernan Mangas
, Karina Vera
, Jaime Rohten
, Nathalie Risso

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

Abstract

The importance of electromobility, renewable energies, variables power managers, have make power converters important devices to be used. However, these devices require proper control in order to achieve the dynamic and steady state performance desired for currents and voltages. This paper proposes an optimal current control with a Linear-Quadratic Regulator on a Three-Phase inverter. The controller's performance relies on the weighting matrixes, where these matrixes are chosen to ensure a satisfactory current tracking, a limited overshoot and a given dynamic. The dq0 rotating reference frame transformation is used to obtain the nonlinear space-state model, which is then linearized to apply the LQR control over continuous variables. The effectiveness of the control's current error minimization is confirmed through simulations results.

Original language	English (US)
Title of host publication	2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781665408738
DOIs	https://doi.org/10.1109/CHILECON54041.2021.9702928
State	Published - 2021
Externally published	Yes
Event	2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021 - Virtual, Online, Chile Duration: Dec 6 2021 → Dec 9 2021

Publication series

Name	2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021

Conference

Conference	2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021
Country/Territory	Chile
City	Virtual, Online
Period	12/6/21 → 12/9/21

Keywords

Current control
Linear-quadratic regulator (LQR)
Three-phase converter

ASJC Scopus subject areas

Artificial Intelligence
Computer Networks and Communications
Hardware and Architecture
Information Systems
Information Systems and Management
Energy Engineering and Power Technology
Electrical and Electronic Engineering
Control and Optimization

Access to Document

10.1109/CHILECON54041.2021.9702928

Cite this

Figueroa, B., Mangas, H., Vera, K., Rohten, J., & Risso, N. (2021). Design of a Linear-Quadratic Regulator for a Three-Phase Power Converter. In 2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021 (2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CHILECON54041.2021.9702928

Design of a Linear-Quadratic Regulator for a Three-Phase Power Converter. / Figueroa, Brayan; Mangas, Hernan; Vera, Karina et al.
2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021).

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

Figueroa, B, Mangas, H, Vera, K, Rohten, J & Risso, N 2021, Design of a Linear-Quadratic Regulator for a Three-Phase Power Converter. in 2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021. 2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021, Institute of Electrical and Electronics Engineers Inc., 2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021, Virtual, Online, Chile, 12/6/21. https://doi.org/10.1109/CHILECON54041.2021.9702928

Figueroa B, Mangas H, Vera K, Rohten J, Risso N. Design of a Linear-Quadratic Regulator for a Three-Phase Power Converter. In 2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021. Institute of Electrical and Electronics Engineers Inc. 2021. (2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021). doi: 10.1109/CHILECON54041.2021.9702928

Figueroa, Brayan ; Mangas, Hernan ; Vera, Karina et al. / Design of a Linear-Quadratic Regulator for a Three-Phase Power Converter. 2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies, CHILECON 2021).

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abstract = "The importance of electromobility, renewable energies, variables power managers, have make power converters important devices to be used. However, these devices require proper control in order to achieve the dynamic and steady state performance desired for currents and voltages. This paper proposes an optimal current control with a Linear-Quadratic Regulator on a Three-Phase inverter. The controller's performance relies on the weighting matrixes, where these matrixes are chosen to ensure a satisfactory current tracking, a limited overshoot and a given dynamic. The dq0 rotating reference frame transformation is used to obtain the nonlinear space-state model, which is then linearized to apply the LQR control over continuous variables. The effectiveness of the control's current error minimization is confirmed through simulations results.",

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N2 - The importance of electromobility, renewable energies, variables power managers, have make power converters important devices to be used. However, these devices require proper control in order to achieve the dynamic and steady state performance desired for currents and voltages. This paper proposes an optimal current control with a Linear-Quadratic Regulator on a Three-Phase inverter. The controller's performance relies on the weighting matrixes, where these matrixes are chosen to ensure a satisfactory current tracking, a limited overshoot and a given dynamic. The dq0 rotating reference frame transformation is used to obtain the nonlinear space-state model, which is then linearized to apply the LQR control over continuous variables. The effectiveness of the control's current error minimization is confirmed through simulations results.

AB - The importance of electromobility, renewable energies, variables power managers, have make power converters important devices to be used. However, these devices require proper control in order to achieve the dynamic and steady state performance desired for currents and voltages. This paper proposes an optimal current control with a Linear-Quadratic Regulator on a Three-Phase inverter. The controller's performance relies on the weighting matrixes, where these matrixes are chosen to ensure a satisfactory current tracking, a limited overshoot and a given dynamic. The dq0 rotating reference frame transformation is used to obtain the nonlinear space-state model, which is then linearized to apply the LQR control over continuous variables. The effectiveness of the control's current error minimization is confirmed through simulations results.

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Design of a Linear-Quadratic Regulator for a Three-Phase Power Converter

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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