Computation of stability metrics in DC power systems using sum of squares programming

Luis Herrera; Xiu Yao

doi:10.1109/COMPEL.2017.8013357

Computation of stability metrics in DC power systems using sum of squares programming

Department of Electrical Engineering

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

10 Scopus citations

Abstract

DC power systems increase the flexibility and efficiency of electrical power networks by eliminating unnecessary conversion stages. However, loads interconnected to the network through a power electronics converter exhibit nonlinear behavior which can lead to stability problems. In this paper, Sum of Squares (SOS) programming methods are utilized to compute stability metrics for dc networks. While the nonlinearity appearing in the dc constant power loads is non-polynomial, SOS techniques provide flexibility in dealing with them. It is shown that SOS methods are simple and efficient to compute an estimate of the region of attraction of dc microgrids.

Original language	English
Title of host publication	2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509053261
DOIs	https://doi.org/10.1109/COMPEL.2017.8013357
State	Published - Aug 18 2017
Event	18th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2017 - Stanford, United States Duration: Jul 9 2017 → Jul 12 2017

Publication series

Name	2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017

Conference

Conference	18th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2017
Country/Territory	United States
City	Stanford
Period	07/9/17 → 07/12/17

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10.1109/COMPEL.2017.8013357

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Herrera, L., & Yao, X. (2017). Computation of stability metrics in DC power systems using sum of squares programming. In 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017 Article 8013357 (2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/COMPEL.2017.8013357

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title = "Computation of stability metrics in DC power systems using sum of squares programming",

abstract = "DC power systems increase the flexibility and efficiency of electrical power networks by eliminating unnecessary conversion stages. However, loads interconnected to the network through a power electronics converter exhibit nonlinear behavior which can lead to stability problems. In this paper, Sum of Squares (SOS) programming methods are utilized to compute stability metrics for dc networks. While the nonlinearity appearing in the dc constant power loads is non-polynomial, SOS techniques provide flexibility in dealing with them. It is shown that SOS methods are simple and efficient to compute an estimate of the region of attraction of dc microgrids.",

author = "Luis Herrera and Xiu Yao",

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year = "2017",

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doi = "10.1109/COMPEL.2017.8013357",

language = "English",

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Herrera, L & Yao, X 2017, Computation of stability metrics in DC power systems using sum of squares programming. in 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017., 8013357, 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017, Institute of Electrical and Electronics Engineers Inc., 18th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2017, Stanford, United States, 07/9/17. https://doi.org/10.1109/COMPEL.2017.8013357

Computation of stability metrics in DC power systems using sum of squares programming. / Herrera, Luis ; Yao, Xiu.
2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017. Institute of Electrical and Electronics Engineers Inc., 2017. 8013357 (2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017).

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

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AU - Yao, Xiu

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N2 - DC power systems increase the flexibility and efficiency of electrical power networks by eliminating unnecessary conversion stages. However, loads interconnected to the network through a power electronics converter exhibit nonlinear behavior which can lead to stability problems. In this paper, Sum of Squares (SOS) programming methods are utilized to compute stability metrics for dc networks. While the nonlinearity appearing in the dc constant power loads is non-polynomial, SOS techniques provide flexibility in dealing with them. It is shown that SOS methods are simple and efficient to compute an estimate of the region of attraction of dc microgrids.

AB - DC power systems increase the flexibility and efficiency of electrical power networks by eliminating unnecessary conversion stages. However, loads interconnected to the network through a power electronics converter exhibit nonlinear behavior which can lead to stability problems. In this paper, Sum of Squares (SOS) programming methods are utilized to compute stability metrics for dc networks. While the nonlinearity appearing in the dc constant power loads is non-polynomial, SOS techniques provide flexibility in dealing with them. It is shown that SOS methods are simple and efficient to compute an estimate of the region of attraction of dc microgrids.

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BT - 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017

PB - Institute of Electrical and Electronics Engineers Inc.

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Y2 - 9 July 2017 through 12 July 2017

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Herrera L , Yao X. Computation of stability metrics in DC power systems using sum of squares programming. In 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017. Institute of Electrical and Electronics Engineers Inc. 2017. 8013357. (2017 IEEE 18th Workshop on Control and Modeling for Power Electronics, COMPEL 2017). doi: 10.1109/COMPEL.2017.8013357

Computation of stability metrics in DC power systems using sum of squares programming

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