Fault Current Constraint Transmission Expansion Planning Based on the Inverse Matrix Modification Lemma and a Valid Inequality

Sungwoo Lee, Hyoungtae Kim, Tae Hyun Kim, Hansol Shin and Wook Kim
Additional contact information
Sungwoo Lee: Korea Power Exchange, Jeollanam-do 58322, Korea
Hyoungtae Kim: Korea Power Exchange, Jeollanam-do 58322, Korea
Tae Hyun Kim: Department of Electrical and Computer Engineering, Pusan National University, Busan 46241, Korea
Hansol Shin: Department of Electrical and Computer Engineering, Pusan National University, Busan 46241, Korea
Wook Kim: Department of Electrical and Computer Engineering, Pusan National University, Busan 46241, Korea

Energies, 2019, vol. 12, issue 24, 1-17

Abstract: In the transmission expansion planning (TEP) problem, it is challenging to consider a fault current level constraint due to the time-consuming update process of the bus impedance matrix, which is required to calculate the fault currents during the search for the optimal solution. In the existing studies, either a nonlinear update equation or its linearized version is used to calculate the updated bus impedance matrix. In the former case, there is a problem in that the mathematical formulation is derived in the form of mixed-integer nonlinear programming. In the latter case, there is a problem in that an error due to the linearization may exist and the change of fault currents in other buses that are not connected to the new transmission lines cannot be detected. In this paper, we use a method to obtain the exact updated bus impedance matrix directly from the inversion of the bus admittance matrix. We propose a novel method based on the inverse matrix modification lemma (IMML) and a valid inequality is proposed to find a better solution to the TEP problem with fault current level constraint. The proposed method is applied to the IEEE two-area reliability test system with 96 buses to verify the performance and effectiveness of the proposed method and we compare the results with the existing methods. Simulation results show that the existing TEP method based on impedance matrix modification method violates the fault current level constraint in some buses, while the proposed method satisfies the constraint in all buses in a reasonable computation time.

Keywords: Transmission Expansion Planning (TEP); Fault Current Level Constraint; Inverse Matrix Modification Lemma; Valid Inequality (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/1996-1073/12/24/4769/pdf (application/pdf)
https://www.mdpi.com/1996-1073/12/24/4769/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:12:y:2019:i:24:p:4769-:d:297799

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().