A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties

Subarto Kumar Ghosh; Tushar Kanti Roy; Md Abu Hanif Pramanik; Md Apel Mahmud

doi:10.1109/IAS48185.2021.9677253

A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties

Subarto Kumar Ghosh, Tushar Kanti Roy, Md Abu Hanif Pramanik, Md Apel Mahmud^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

This paper proposes a robust linear optimal state feedback control scheme for the excitation system of a synchronous generator connected to an infinite bus. The proposed controller is designed for the seventh-order model of synchronous generators using a linear quadratic regulator (LQR) approach while considering parametric uncertainties within the model. The proposed robust optimal state feedback excitation controller is designed by bounding parametric uncertainties so that it can provide desired damping to ensure the transient stability under different operational constraints. The optimal control parameters are determined by solving linear matrix inequalities (LMIs) and convex optimization problems. The quadratic stability of an uncertain system representing parametric uncertainties in the synchronous generator model is analyzed using the Lyapunov stability analysis framework. Simulations studies are conducted to support the theoretical finding of the proposed controller and results are compared with a conventional power system stabilizer.

Original language	English
Title of host publication	2021 IEEE Industry Applications Society Annual Meeting (IAS)
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1
Number of pages	6
ISBN (Electronic)	9781728164014
ISBN (Print)	9781728164021
DOIs	https://doi.org/10.1109/IAS48185.2021.9677253
Publication status	Published - 10 Oct 2021
Externally published	Yes
Event	2021 IEEE Industry Applications Society Annual Meeting (IAS) - Vancouver, Canada Duration: 10 Oct 2021 → 14 Oct 2021

Conference

Conference	2021 IEEE Industry Applications Society Annual Meeting (IAS)
Country/Territory	Canada
City	Vancouver
Period	10/10/21 → 14/10/21

Keywords

Damping
State feedback
Uncertain systems
Uncertainty
Power system stability
Synchronous generators
Stability analysis

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10.1109/IAS48185.2021.9677253

Cite this

Ghosh, S. K., Roy, T. K., Pramanik, M. A. H., & Mahmud, M. A. (2021). A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties. In 2021 IEEE Industry Applications Society Annual Meeting (IAS) (pp. 1). Article 9677253 Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IAS48185.2021.9677253

Ghosh, Subarto Kumar ; Roy, Tushar Kanti ; Pramanik, Md Abu Hanif et al. / A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties. 2021 IEEE Industry Applications Society Annual Meeting (IAS). Piscataway, NJ : Institute of Electrical and Electronics Engineers Inc., 2021. pp. 1

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title = "A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties",

abstract = "This paper proposes a robust linear optimal state feedback control scheme for the excitation system of a synchronous generator connected to an infinite bus. The proposed controller is designed for the seventh-order model of synchronous generators using a linear quadratic regulator (LQR) approach while considering parametric uncertainties within the model. The proposed robust optimal state feedback excitation controller is designed by bounding parametric uncertainties so that it can provide desired damping to ensure the transient stability under different operational constraints. The optimal control parameters are determined by solving linear matrix inequalities (LMIs) and convex optimization problems. The quadratic stability of an uncertain system representing parametric uncertainties in the synchronous generator model is analyzed using the Lyapunov stability analysis framework. Simulations studies are conducted to support the theoretical finding of the proposed controller and results are compared with a conventional power system stabilizer.",

keywords = "Damping, State feedback, Uncertain systems, Uncertainty, Power system stability, Synchronous generators, Stability analysis",

author = "Ghosh, {Subarto Kumar} and Roy, {Tushar Kanti} and Pramanik, {Md Abu Hanif} and Mahmud, {Md Apel}",

year = "2021",

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doi = "10.1109/IAS48185.2021.9677253",

language = "English",

isbn = "9781728164021",

pages = "1",

booktitle = "2021 IEEE Industry Applications Society Annual Meeting (IAS)",

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Ghosh, SK, Roy, TK, Pramanik, MAH & Mahmud, MA 2021, A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties. in 2021 IEEE Industry Applications Society Annual Meeting (IAS)., 9677253, Institute of Electrical and Electronics Engineers Inc., Piscataway, NJ, pp. 1, 2021 IEEE Industry Applications Society Annual Meeting (IAS), Vancouver, British Columbia, Canada, 10/10/21. https://doi.org/10.1109/IAS48185.2021.9677253

A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties. / Ghosh, Subarto Kumar; Roy, Tushar Kanti; Pramanik, Md Abu Hanif et al.
2021 IEEE Industry Applications Society Annual Meeting (IAS). Piscataway, NJ: Institute of Electrical and Electronics Engineers Inc., 2021. p. 1 9677253.

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

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T1 - A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties

AU - Ghosh, Subarto Kumar

AU - Roy, Tushar Kanti

AU - Pramanik, Md Abu Hanif

AU - Mahmud, Md Apel

PY - 2021/10/10

Y1 - 2021/10/10

N2 - This paper proposes a robust linear optimal state feedback control scheme for the excitation system of a synchronous generator connected to an infinite bus. The proposed controller is designed for the seventh-order model of synchronous generators using a linear quadratic regulator (LQR) approach while considering parametric uncertainties within the model. The proposed robust optimal state feedback excitation controller is designed by bounding parametric uncertainties so that it can provide desired damping to ensure the transient stability under different operational constraints. The optimal control parameters are determined by solving linear matrix inequalities (LMIs) and convex optimization problems. The quadratic stability of an uncertain system representing parametric uncertainties in the synchronous generator model is analyzed using the Lyapunov stability analysis framework. Simulations studies are conducted to support the theoretical finding of the proposed controller and results are compared with a conventional power system stabilizer.

AB - This paper proposes a robust linear optimal state feedback control scheme for the excitation system of a synchronous generator connected to an infinite bus. The proposed controller is designed for the seventh-order model of synchronous generators using a linear quadratic regulator (LQR) approach while considering parametric uncertainties within the model. The proposed robust optimal state feedback excitation controller is designed by bounding parametric uncertainties so that it can provide desired damping to ensure the transient stability under different operational constraints. The optimal control parameters are determined by solving linear matrix inequalities (LMIs) and convex optimization problems. The quadratic stability of an uncertain system representing parametric uncertainties in the synchronous generator model is analyzed using the Lyapunov stability analysis framework. Simulations studies are conducted to support the theoretical finding of the proposed controller and results are compared with a conventional power system stabilizer.

KW - Damping

KW - State feedback

KW - Uncertain systems

KW - Uncertainty

KW - Power system stability

KW - Synchronous generators

KW - Stability analysis

U2 - 10.1109/IAS48185.2021.9677253

DO - 10.1109/IAS48185.2021.9677253

M3 - Conference contribution

SN - 9781728164021

SP - 1

BT - 2021 IEEE Industry Applications Society Annual Meeting (IAS)

PB - Institute of Electrical and Electronics Engineers Inc.

CY - Piscataway, NJ

T2 - 2021 IEEE Industry Applications Society Annual Meeting (IAS)

Y2 - 10 October 2021 through 14 October 2021

ER -

Ghosh SK, Roy TK, Pramanik MAH, Mahmud MA. A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties. In 2021 IEEE Industry Applications Society Annual Meeting (IAS). Piscataway, NJ: Institute of Electrical and Electronics Engineers Inc. 2021. p. 1. 9677253 doi: 10.1109/IAS48185.2021.9677253

A Robust Linear Optimal State Feedback Controller Design for Excitation Systems of Synchronous Generators in Single Machine Power Systems with Parametric Uncertainties

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