LAPSE:2023.21315
Published Article

LAPSE:2023.21315
Using the Thermal Inertia of Transmission Lines for Coping with Post-Contingency Overflows
March 22, 2023
Abstract
For the corrective security-constrained optimal power flow (OPF) model, there exists a post-contingency stage due to the time delay of corrective measures. Line overflows in this stage may cause cascading failures. This paper proposes that the thermal inertia of transmission lines can be used to cope with post-contingency overflows. An enhanced security-constrained OPF model is established and line dynamic thermal behaviors are quantified. The post-contingency stage is divided into a response substage and a ramping substage and the highest temperatures are limited by thermal rating constraints. A solving strategy based on Benders decomposition is proposed to solve the established model. The original problem is decomposed into a master problem for preventive control and two subproblems for corrective control feasibility check and line thermal rating check. In each iteration, Benders cuts are generated for infeasible contingencies and returned into the master problem for adjusting the generation plan. Because the highest temperature function is implicit, an equivalent time method is presented to calculate its partial derivative in Benders cuts. The proposed model and approaches are validated on three test systems. Results show that the operation security is improved with a slight increase in total generation cost.
For the corrective security-constrained optimal power flow (OPF) model, there exists a post-contingency stage due to the time delay of corrective measures. Line overflows in this stage may cause cascading failures. This paper proposes that the thermal inertia of transmission lines can be used to cope with post-contingency overflows. An enhanced security-constrained OPF model is established and line dynamic thermal behaviors are quantified. The post-contingency stage is divided into a response substage and a ramping substage and the highest temperatures are limited by thermal rating constraints. A solving strategy based on Benders decomposition is proposed to solve the established model. The original problem is decomposed into a master problem for preventive control and two subproblems for corrective control feasibility check and line thermal rating check. In each iteration, Benders cuts are generated for infeasible contingencies and returned into the master problem for adjusting the generation plan. Because the highest temperature function is implicit, an equivalent time method is presented to calculate its partial derivative in Benders cuts. The proposed model and approaches are validated on three test systems. Results show that the operation security is improved with a slight increase in total generation cost.
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Keywords
corrective control, post-contingency overflow, preventive control, security-constrained OPF, thermal inertia, transmission line
Subject
Suggested Citation
Lou X, Chen W, Guo C. Using the Thermal Inertia of Transmission Lines for Coping with Post-Contingency Overflows. (2023). LAPSE:2023.21315
Author Affiliations
Lou X: College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
Chen W: College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
Guo C: College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
Chen W: College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
Guo C: College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
Journal Name
Energies
Volume
13
Issue
1
Article Number
E48
Year
2019
Publication Date
2019-12-20
ISSN
1996-1073
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Original Submission
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PII: en13010048, Publication Type: Journal Article
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LAPSE:2023.21315
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https://doi.org/10.3390/en13010048
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[v1] (Original Submission)
Mar 22, 2023
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Mar 22, 2023
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