A novel approach for transient stability using interval arithmetic and optimization methods

Raphael Fortulan

doi:10.1002/2050-7038.12851

A novel approach for transient stability using interval arithmetic and optimization methods

Raphael Fortulan

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this article, a new approach is proposed to include parametric uncertainties in the analysis of the transient stability of power systems by using intervals. Two methodologies based on the interval uncertainties were developed and implemented: (i) a robust extension of the potential energy boundary surface method combined with interval arithmetic and (ii) an optimization formulation for the transient stability problem. The interval uncertainties enable one to obtain closed-form expressions for stability assessment of uncertain systems, allowing a faster analysis. The results show that both methodologies can be used to find an accurate estimate of the critical clearing time for uncertain power systems more quickly than using the classical Monte Carlo approach.

Original language	English
Article number	e12851
Number of pages	14
Journal	International Transactions on Electrical Energy Systems
Volume	31
Issue number	5
Early online date	16 Mar 2021
DOIs	https://doi.org/10.1002/2050-7038.12851
Publication status	Published - 1 May 2021
Externally published	Yes

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Cite this

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N2 - In this article, a new approach is proposed to include parametric uncertainties in the analysis of the transient stability of power systems by using intervals. Two methodologies based on the interval uncertainties were developed and implemented: (i) a robust extension of the potential energy boundary surface method combined with interval arithmetic and (ii) an optimization formulation for the transient stability problem. The interval uncertainties enable one to obtain closed-form expressions for stability assessment of uncertain systems, allowing a faster analysis. The results show that both methodologies can be used to find an accurate estimate of the critical clearing time for uncertain power systems more quickly than using the classical Monte Carlo approach.

AB - In this article, a new approach is proposed to include parametric uncertainties in the analysis of the transient stability of power systems by using intervals. Two methodologies based on the interval uncertainties were developed and implemented: (i) a robust extension of the potential energy boundary surface method combined with interval arithmetic and (ii) an optimization formulation for the transient stability problem. The interval uncertainties enable one to obtain closed-form expressions for stability assessment of uncertain systems, allowing a faster analysis. The results show that both methodologies can be used to find an accurate estimate of the critical clearing time for uncertain power systems more quickly than using the classical Monte Carlo approach.

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A novel approach for transient stability using interval arithmetic and optimization methods

Abstract

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