A Joint Optimization Model for Transmission Capacity and Wind Power Investment Considering System Security
Due to continuous growth in electric demand and increasing connection of renewable energy, the power systems are being operated with smaller stability margins. Therefore, a sufficient loading margin is essential to maintain the system secure and ensure voltage stability. To this end, this paper stud...
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IEEE
2023-01-01
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Series: | IEEE Access |
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Online Access: | https://ieeexplore.ieee.org/document/10041158/ |
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author | Ahmad M. Alshamrani Mohammed A. El-Meligy Mohamed Abdel Fattah Sharaf Emad Abouel Nasr |
author_facet | Ahmad M. Alshamrani Mohammed A. El-Meligy Mohamed Abdel Fattah Sharaf Emad Abouel Nasr |
author_sort | Ahmad M. Alshamrani |
collection | DOAJ |
description | Due to continuous growth in electric demand and increasing connection of renewable energy, the power systems are being operated with smaller stability margins. Therefore, a sufficient loading margin is essential to maintain the system secure and ensure voltage stability. To this end, this paper studies the joint optimization of transmission capacity and wind power investment problem, the unique feature of which is incorporating voltage stability margin (VSM) in the planning model. A bi-level model has been formulated whose upper level minimizes the total investment and operation cost minus the weighted VSM. The lower level evaluates the VSM given the optimal expansion plan from the upper level. In addition, the stochastic nature of wind power and load can impact voltage stability. Thus, uncertainties related to intermittent wind generation and demand must be modeled. We use an approximated linear representation to model the AC power system at both levels of the problem. The duality theory (primal-dual formulation) is utilized to transform bi-level programming into single-level mathematical programming. The validity of the constructed methodology is demonstrated on the IEEE 24-bus RTS, which indicates the efficacy and feasibility of the presented model. |
first_indexed | 2024-04-10T09:14:46Z |
format | Article |
id | doaj.art-dfd095cc90a5415c9a41863c1b1919ea |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-04-10T09:14:46Z |
publishDate | 2023-01-01 |
publisher | IEEE |
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series | IEEE Access |
spelling | doaj.art-dfd095cc90a5415c9a41863c1b1919ea2023-02-21T00:01:34ZengIEEEIEEE Access2169-35362023-01-0111155781558710.1109/ACCESS.2023.324366210041158A Joint Optimization Model for Transmission Capacity and Wind Power Investment Considering System SecurityAhmad M. Alshamrani0https://orcid.org/0000-0001-7103-8872Mohammed A. El-Meligy1https://orcid.org/0000-0001-7967-4259Mohamed Abdel Fattah Sharaf2https://orcid.org/0000-0001-6722-8366Emad Abouel Nasr3https://orcid.org/0000-0001-6967-7747Statistics and Operations Research Department, College of Science, King Saud University, Riyadh, Saudi ArabiaIndustrial Engineering Department, College of Engineering, King Saud University, Riyadh, Saudi ArabiaIndustrial Engineering Department, College of Engineering, King Saud University, Riyadh, Saudi ArabiaIndustrial Engineering Department, College of Engineering, King Saud University, Riyadh, Saudi ArabiaDue to continuous growth in electric demand and increasing connection of renewable energy, the power systems are being operated with smaller stability margins. Therefore, a sufficient loading margin is essential to maintain the system secure and ensure voltage stability. To this end, this paper studies the joint optimization of transmission capacity and wind power investment problem, the unique feature of which is incorporating voltage stability margin (VSM) in the planning model. A bi-level model has been formulated whose upper level minimizes the total investment and operation cost minus the weighted VSM. The lower level evaluates the VSM given the optimal expansion plan from the upper level. In addition, the stochastic nature of wind power and load can impact voltage stability. Thus, uncertainties related to intermittent wind generation and demand must be modeled. We use an approximated linear representation to model the AC power system at both levels of the problem. The duality theory (primal-dual formulation) is utilized to transform bi-level programming into single-level mathematical programming. The validity of the constructed methodology is demonstrated on the IEEE 24-bus RTS, which indicates the efficacy and feasibility of the presented model.https://ieeexplore.ieee.org/document/10041158/Bi-level programmingprimal-dual formulationtransmission and wind investmentvoltage stability |
spellingShingle | Ahmad M. Alshamrani Mohammed A. El-Meligy Mohamed Abdel Fattah Sharaf Emad Abouel Nasr A Joint Optimization Model for Transmission Capacity and Wind Power Investment Considering System Security IEEE Access Bi-level programming primal-dual formulation transmission and wind investment voltage stability |
title | A Joint Optimization Model for Transmission Capacity and Wind Power Investment Considering System Security |
title_full | A Joint Optimization Model for Transmission Capacity and Wind Power Investment Considering System Security |
title_fullStr | A Joint Optimization Model for Transmission Capacity and Wind Power Investment Considering System Security |
title_full_unstemmed | A Joint Optimization Model for Transmission Capacity and Wind Power Investment Considering System Security |
title_short | A Joint Optimization Model for Transmission Capacity and Wind Power Investment Considering System Security |
title_sort | joint optimization model for transmission capacity and wind power investment considering system security |
topic | Bi-level programming primal-dual formulation transmission and wind investment voltage stability |
url | https://ieeexplore.ieee.org/document/10041158/ |
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