Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method
To better respond to the impact of power system-uncertain parameters on transient stability, a novel model named the parametric transient stability constrained optimal power flow (parametric TSCOPF) is proposed. It seeks the optimal control scheme of transient stability constrained optimal power flo...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-06-01
|
| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/15/11/4127 |
| _version_ | 1797493453352861696 |
|---|---|
| author | Bingqing Xia Hao Wu Wenbin Yang Lu Cao Yonghua Song |
| author_facet | Bingqing Xia Hao Wu Wenbin Yang Lu Cao Yonghua Song |
| author_sort | Bingqing Xia |
| collection | DOAJ |
| description | To better respond to the impact of power system-uncertain parameters on transient stability, a novel model named the parametric transient stability constrained optimal power flow (parametric TSCOPF) is proposed. It seeks the optimal control scheme of transient stability constrained optimal power flow (TSCOPF) expressed by the function of uncertain parameters in power systems. The key difficulty to solve this model lies in that the relationship between the parametric TSCOPF solution and uncertain parameters is implicit, which is hard to derive generally. To this end, this paper approximates the optimal solution of parametric TSCOPF by polynomial expressions of uncertain parameters based on the stochastic collocation method. First, the parametric TSCOPF model includes both uncertain parameters and transient stability constraints, in which the transient stability constraint is constructed as a set of polynomial expressions using the SCM. Then, to derive the relationship between the parametric TSCOPF solution and uncertain parameters, the SCM is applied to the parametric Karush–Kuhn–Tucker (KKT) conditions of the parametric TSCOPF model, so that the optimal solution of the parametric TSCOPF is approximated by using polynomial expressions with respect to uncertain parameters. The proposed parametric TSCOPF model has been tested on a 3-machine, 9-bus system, and the IEEE 145-bus system, which verifies the effectiveness of the proposed method. |
| first_indexed | 2024-03-10T01:20:11Z |
| format | Article |
| id | doaj.art-94128b290839403ab7a40aa5dcf5c973 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T01:20:11Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-94128b290839403ab7a40aa5dcf5c9732023-11-23T14:00:48ZengMDPI AGEnergies1996-10732022-06-011511412710.3390/en15114127Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation MethodBingqing Xia0Hao Wu1Wenbin Yang2Lu Cao3Yonghua Song4The PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, ChinaThe College of Electrical Engineering, Zhejiang University, Hangzhou 310027, ChinaThe PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, ChinaThe Huadong Branch of State Grid, Shanghai 200120, ChinaThe Department of Electrical and Computer Engineering, University of Macau, Macau, ChinaTo better respond to the impact of power system-uncertain parameters on transient stability, a novel model named the parametric transient stability constrained optimal power flow (parametric TSCOPF) is proposed. It seeks the optimal control scheme of transient stability constrained optimal power flow (TSCOPF) expressed by the function of uncertain parameters in power systems. The key difficulty to solve this model lies in that the relationship between the parametric TSCOPF solution and uncertain parameters is implicit, which is hard to derive generally. To this end, this paper approximates the optimal solution of parametric TSCOPF by polynomial expressions of uncertain parameters based on the stochastic collocation method. First, the parametric TSCOPF model includes both uncertain parameters and transient stability constraints, in which the transient stability constraint is constructed as a set of polynomial expressions using the SCM. Then, to derive the relationship between the parametric TSCOPF solution and uncertain parameters, the SCM is applied to the parametric Karush–Kuhn–Tucker (KKT) conditions of the parametric TSCOPF model, so that the optimal solution of the parametric TSCOPF is approximated by using polynomial expressions with respect to uncertain parameters. The proposed parametric TSCOPF model has been tested on a 3-machine, 9-bus system, and the IEEE 145-bus system, which verifies the effectiveness of the proposed method.https://www.mdpi.com/1996-1073/15/11/4127transient stability constrained optimal power flowuncertain parametersstochastic collocation methodpolynomial approximation |
| spellingShingle | Bingqing Xia Hao Wu Wenbin Yang Lu Cao Yonghua Song Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method Energies transient stability constrained optimal power flow uncertain parameters stochastic collocation method polynomial approximation |
| title | Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method |
| title_full | Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method |
| title_fullStr | Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method |
| title_full_unstemmed | Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method |
| title_short | Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method |
| title_sort | parametric transient stability constrained optimal power flow solved by polynomial approximation based on the stochastic collocation method |
| topic | transient stability constrained optimal power flow uncertain parameters stochastic collocation method polynomial approximation |
| url | https://www.mdpi.com/1996-1073/15/11/4127 |
| work_keys_str_mv | AT bingqingxia parametrictransientstabilityconstrainedoptimalpowerflowsolvedbypolynomialapproximationbasedonthestochasticcollocationmethod AT haowu parametrictransientstabilityconstrainedoptimalpowerflowsolvedbypolynomialapproximationbasedonthestochasticcollocationmethod AT wenbinyang parametrictransientstabilityconstrainedoptimalpowerflowsolvedbypolynomialapproximationbasedonthestochasticcollocationmethod AT lucao parametrictransientstabilityconstrainedoptimalpowerflowsolvedbypolynomialapproximationbasedonthestochasticcollocationmethod AT yonghuasong parametrictransientstabilityconstrainedoptimalpowerflowsolvedbypolynomialapproximationbasedonthestochasticcollocationmethod |