Computation of the Minimum Voltage Stability Margin Considering Loading Uncertainties and Contingency Analysis

This paper presents a hybrid method to calculate the minimum Voltage Stability Margin (VSM) for voltage security assessment of electric power systems, considering uncertainties in the Load Growth Direction (LGD). First, a sampling algorithm was developed (based on the Cross-Entropy method, which sam...

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Bibliographic Details
Main Authors: Nascimento, Matheus R., Ramos, Flavio A., Almeida, Lucas C., Goncalves, Natali V. C., Grilo-Pavani, Ahda P., Ramos, Rodrigo A.
Format: Conference Proceeding
Language:English
Subjects:
Computational modeling
Contingency Analysis
Contingency management
Load Growth Direction
Power system stability
Security
Stability analysis
Threshold voltage
Uncertainties
Uncertainty
Voltage Security Assessment
Voltage Stability Margin
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Summary:This paper presents a hybrid method to calculate the minimum Voltage Stability Margin (VSM) for voltage security assessment of electric power systems, considering uncertainties in the Load Growth Direction (LGD). First, a sampling algorithm was developed (based on the Cross-Entropy method, which samples by importance) in order to obtain a set of critical growth directions that violate the predefined limits for the VSM. After that, the Differential Evolution method was applied to develop an algorithm that constructs a stratified sample set, starting from the previous set of critical directions as its initial population. The combination of both algorithms is capable of identifying the minimum voltage stability margin considering the most critical LGD associated to a particular base case of the system, which is the main contribution of this paper. Furthermore, the algorithms were extended to perform contingency analysis, in such a way that they can deal with the conditions that actually pose the highest threats to voltage stability in electric power systems. The method was tested and validated on a reduced Brazilian south-southeast system model composed of 107 buses.
ISSN:1944-9933
DOI:10.1109/PESGM52003.2023.10252463