Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime Regulation
This paper presents a new approach to approximate the AC optimal power flow (ACOPF). By eliminating the need to solve the ACOPF every few minutes, the paper showcases how a realtime feedback controller can be utilized in lieu of ACOPF and its variants. By <italic>i)</italic> forming the...
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IEEE
2024-01-01
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| Series: | IEEE Open Journal of Control Systems |
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| Online Access: | https://ieeexplore.ieee.org/document/10556752/ |
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| author | Muhammad Nadeem Ahmad F. Taha |
| author_facet | Muhammad Nadeem Ahmad F. Taha |
| author_sort | Muhammad Nadeem |
| collection | DOAJ |
| description | This paper presents a new approach to approximate the AC optimal power flow (ACOPF). By eliminating the need to solve the ACOPF every few minutes, the paper showcases how a realtime feedback controller can be utilized in lieu of ACOPF and its variants. By <italic>i)</italic> forming the grid dynamics as a system of differential-algebraic equations (DAE) that naturally encode the non-convex OPF power flow constraints, <italic>ii)</italic> utilizing DAE-Lyapunov theory, and <italic>iii)</italic> designing a feedback controller that captures realtime uncertainty while being uncertainty-unaware, the presented approach demonstrates promises of obtaining solutions that are close to the OPF ones without needing to solve the OPF. The proposed controller responds in realtime to deviations in renewables generation and loads, guaranteeing improvements in system transient stability, while always yielding approximate solutions of the ACOPF with no constraint violations. As the studied approach herein yields slightly more expensive realtime generator controls, the corresponding price of realtime control and regulation is examined. Cost comparisons with the traditional ACOPF are also showcased—all via case studies on standard power networks. |
| format | Article |
| id | doaj-art-ecf6335959b9476687c969295d068ddd |
| institution | Kabale University |
| issn | 2694-085X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of Control Systems |
| spelling | doaj-art-ecf6335959b9476687c969295d068ddd2025-01-09T00:03:01ZengIEEEIEEE Open Journal of Control Systems2694-085X2024-01-01325326510.1109/OJCSYS.2024.341422110556752Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime RegulationMuhammad Nadeem0https://orcid.org/0000-0002-3859-695XAhmad F. Taha1https://orcid.org/0000-0003-0486-2794Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, TN, USADepartment of Civil and Environmental Engineering, Vanderbilt University, Nashville, TN, USAThis paper presents a new approach to approximate the AC optimal power flow (ACOPF). By eliminating the need to solve the ACOPF every few minutes, the paper showcases how a realtime feedback controller can be utilized in lieu of ACOPF and its variants. By <italic>i)</italic> forming the grid dynamics as a system of differential-algebraic equations (DAE) that naturally encode the non-convex OPF power flow constraints, <italic>ii)</italic> utilizing DAE-Lyapunov theory, and <italic>iii)</italic> designing a feedback controller that captures realtime uncertainty while being uncertainty-unaware, the presented approach demonstrates promises of obtaining solutions that are close to the OPF ones without needing to solve the OPF. The proposed controller responds in realtime to deviations in renewables generation and loads, guaranteeing improvements in system transient stability, while always yielding approximate solutions of the ACOPF with no constraint violations. As the studied approach herein yields slightly more expensive realtime generator controls, the corresponding price of realtime control and regulation is examined. Cost comparisons with the traditional ACOPF are also showcased—all via case studies on standard power networks.https://ieeexplore.ieee.org/document/10556752/Optimal power flowload frequency controlpower system differential algebraic equationsrobust controllyapunov stability |
| spellingShingle | Muhammad Nadeem Ahmad F. Taha Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime Regulation IEEE Open Journal of Control Systems Optimal power flow load frequency control power system differential algebraic equations robust control lyapunov stability |
| title | Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime Regulation |
| title_full | Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime Regulation |
| title_fullStr | Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime Regulation |
| title_full_unstemmed | Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime Regulation |
| title_short | Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime Regulation |
| title_sort | sorta solving the opf by italic not italic solving the opf dae control theory and the price of realtime regulation |
| topic | Optimal power flow load frequency control power system differential algebraic equations robust control lyapunov stability |
| url | https://ieeexplore.ieee.org/document/10556752/ |
| work_keys_str_mv | AT muhammadnadeem sortasolvingtheopfbyitalicnotitalicsolvingtheopfdaecontroltheoryandthepriceofrealtimeregulation AT ahmadftaha sortasolvingtheopfbyitalicnotitalicsolvingtheopfdaecontroltheoryandthepriceofrealtimeregulation |