A Critical Escape Probability Formulation for Enhancing the Transient Stability of Power Systems with System Parameter Design Article Swipe

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Xian Wu , Kaihua Xi , Aijie Cheng , Chenghui Zhang , Hai Xiang Lin ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2309.06803

For the enhancement of the transient stability of power systems, the key is to define a quantitative optimization formulation with system parameters as decision variables. In this paper, we model the disturbances by Gaussian noise and define a metric named Critical Escape Probability (CREP) based on the invariant probability measure of a linearised stochastic processes. CREP characterizes the probability of the state escaping from a critical set. CREP involves all the system parameters and reflects the size of the basin of attraction of the nonlinear systems. An optimization framework that minimizes CREP with the system parameters as decision variablesis is presented. Simulations show that the mean first hitting time when the state hits the boundary of the critical set, that is often used to describe the stability of nonlinear systems, is dramatically increased by minimizing CREP. This indicates that the transient stability of the system is effectively enhanced. It also shown that suppressing the state fluctuations only is insufficient for enhancing the transient stability. In addition, the famous Braess' paradox which also exists in power systems is revisited. Surprisingly, it turned out that the paradoxes identified by the traditional metric may not exist according to CREP. This new metric opens a new avenue for the transient stability analysis of future power systems integrated with large amounts of renewable energy.

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Transient (computer programming) Metric (unit) Nonlinear system Electric power system Stability (learning theory) Control theory (sociology) Mathematical optimization Boundary (topology) Mathematics Computer science Power (physics) Engineering Physics Artificial intelligence Mathematical analysis Quantum mechanics Operating system Control (management) Machine learning Operations management

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2309.06803
PDF: https://arxiv.org/pdf/2309.06803
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Cited By: 1
Related Works: 10
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DOI: https://doi.org/10.48550/arxiv.2309.06803

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Title: A Critical Escape Probability Formulation for Enhancing the Transient Stability of Power Systems with System Parameter Design

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Language: en

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Publication year: 2023

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Publication date: 2023-09-13

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Authors: Xian Wu, Kaihua Xi, Aijie Cheng, Chenghui Zhang, Hai Xiang Lin

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Landing page: https://arxiv.org/abs/2309.06803

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Concepts: Transient (computer programming), Metric (unit), Nonlinear system, Electric power system, Stability (learning theory), Control theory (sociology), Mathematical optimization, Boundary (topology), Mathematics, Computer science, Power (physics), Engineering, Physics, Artificial intelligence, Mathematical analysis, Quantum mechanics, Operating system, Control (management), Machine learning, Operations management

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Cited by: 1

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abstract_inverted_index.processes.	54
abstract_inverted_index.revisited.	177
abstract_inverted_index.stability.	163
abstract_inverted_index.stochastic	53
abstract_inverted_index.variables.	24
abstract_inverted_index.Probability	42
abstract_inverted_index.Simulations	101
abstract_inverted_index.effectively	146
abstract_inverted_index.enhancement	2
abstract_inverted_index.formulation	18
abstract_inverted_index.probability	48, 58
abstract_inverted_index.suppressing	152
abstract_inverted_index.traditional	188
abstract_inverted_index.variablesis	98
abstract_inverted_index.disturbances	31
abstract_inverted_index.dramatically	131
abstract_inverted_index.fluctuations	155
abstract_inverted_index.insufficient	158
abstract_inverted_index.optimization	17, 87
abstract_inverted_index.quantitative	16
abstract_inverted_index.Surprisingly,	178
abstract_inverted_index.characterizes	56
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	5
sustainable_development_goals[0].id	https://metadata.un.org/sdg/7
sustainable_development_goals[0].score	0.8700000047683716
sustainable_development_goals[0].display_name	Affordable and clean energy
citation_normalized_percentile