Stability region estimation under low voltage ride through constraints using sum of squares

Chetan Mishra; James S. Thorp; Virgilio A. Centeno; Anamitra Pal

doi:10.1109/NAPS.2017.8107353

Stability region estimation under low voltage ride through constraints using sum of squares

Chetan Mishra, James S. Thorp, Virgilio A. Centeno, Anamitra Pal

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

8 Scopus citations

Abstract

The increasing penetration of inverter based renewable generation (RG) in the form of solar photo-voltaic (PV) or wind has introduced numerous operational challenges and uncertainties. According to the standards [1], [2], these generators are made to trip offline if their operating requirements are not met. In an RG-rich system, this might alter the system dynamics and/or cause shifting of the equilibrium points to the extent that a cascaded tripping scenario is manifested. The present work attempts at avoiding such scenarios by estimating the constrained stability region (CSR) inside which the system must operate using maximal level set of a Lyapunov function estimated through sum of squares (SOS) technique. A time-independent conservative approximation of the LVRT constraint is initially derived for a classical model of the power system. The proposed approach is eventually validated by evaluating the stability of a 3 machine test system with trip-able RG.

Original language	English (US)
Title of host publication	2017 North American Power Symposium, NAPS 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538626993
DOIs	https://doi.org/10.1109/NAPS.2017.8107353
State	Published - Nov 13 2017
Event	2017 North American Power Symposium, NAPS 2017 - Morgantown, United States Duration: Sep 17 2017 → Sep 19 2017

Publication series

Name	2017 North American Power Symposium, NAPS 2017

Other

Other	2017 North American Power Symposium, NAPS 2017
Country/Territory	United States
City	Morgantown
Period	9/17/17 → 9/19/17

Keywords

Constrained stability region (CSR)
direct methods
low voltage ride through (L VRT)
sum of squares (SOS)

ASJC Scopus subject areas

Computer Networks and Communications
Energy Engineering and Power Technology
Control and Optimization
Electrical and Electronic Engineering

Access to Document

10.1109/NAPS.2017.8107353

Cite this

Stability region estimation under low voltage ride through constraints using sum of squares. / Mishra, Chetan; Thorp, James S.; Centeno, Virgilio A. et al.
2017 North American Power Symposium, NAPS 2017. Institute of Electrical and Electronics Engineers Inc., 2017. 8107353 (2017 North American Power Symposium, NAPS 2017).

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

Mishra, C, Thorp, JS, Centeno, VA & Pal, A 2017, Stability region estimation under low voltage ride through constraints using sum of squares. in 2017 North American Power Symposium, NAPS 2017., 8107353, 2017 North American Power Symposium, NAPS 2017, Institute of Electrical and Electronics Engineers Inc., 2017 North American Power Symposium, NAPS 2017, Morgantown, United States, 9/17/17. https://doi.org/10.1109/NAPS.2017.8107353

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AB - The increasing penetration of inverter based renewable generation (RG) in the form of solar photo-voltaic (PV) or wind has introduced numerous operational challenges and uncertainties. According to the standards [1], [2], these generators are made to trip offline if their operating requirements are not met. In an RG-rich system, this might alter the system dynamics and/or cause shifting of the equilibrium points to the extent that a cascaded tripping scenario is manifested. The present work attempts at avoiding such scenarios by estimating the constrained stability region (CSR) inside which the system must operate using maximal level set of a Lyapunov function estimated through sum of squares (SOS) technique. A time-independent conservative approximation of the LVRT constraint is initially derived for a classical model of the power system. The proposed approach is eventually validated by evaluating the stability of a 3 machine test system with trip-able RG.

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Stability region estimation under low voltage ride through constraints using sum of squares

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Keywords

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