Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model
The optimization of the operation of power systems including steady state and dynamic constraints is efficiently solved by Transient Stability Constrained Optimal Power Flow (TSCOPF) models. TSCOPF studies extend well-known optimal power flow models by introducing the electromechanical oscillations...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Energies |
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| Online Access: | http://www.mdpi.com/1996-1073/12/5/885 |
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| author | Francisco Arredondo Edgardo Daniel Castronuovo Pablo Ledesma Zbigniew Leonowicz |
| author_facet | Francisco Arredondo Edgardo Daniel Castronuovo Pablo Ledesma Zbigniew Leonowicz |
| author_sort | Francisco Arredondo |
| collection | DOAJ |
| description | The optimization of the operation of power systems including steady state and dynamic constraints is efficiently solved by Transient Stability Constrained Optimal Power Flow (TSCOPF) models. TSCOPF studies extend well-known optimal power flow models by introducing the electromechanical oscillations of synchronous machines. One of the main approaches in TSCOPF studies includes the discretized differential equations that represent the dynamics of the system in the optimization model. This paper analyzes the impact of different implicit and explicit numerical integration methods on the solution of a TSCOPF model and the effect of the integration time step. In particular, it studies the effect on the power dispatch, the total cost of generation, the accuracy of the calculation of electromechanical oscillations between machines, the size of the optimization problem and the computational time. |
| first_indexed | 2024-04-11T14:01:36Z |
| format | Article |
| id | doaj.art-8463c5c5fa4b406590f48086c2f1ec5f |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-11T14:01:36Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-8463c5c5fa4b406590f48086c2f1ec5f2022-12-22T04:20:06ZengMDPI AGEnergies1996-10732019-03-0112588510.3390/en12050885en12050885Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow ModelFrancisco Arredondo0Edgardo Daniel Castronuovo1Pablo Ledesma2Zbigniew Leonowicz3Department of Electrical Engineering, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Leganés, SpainDepartment of Electrical Engineering, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Leganés, SpainDepartment of Electrical Engineering, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Leganés, SpainFaculty of Electrical Engineering, Wrocław University of Science and Technology, 50-370 Wrocław, PolandThe optimization of the operation of power systems including steady state and dynamic constraints is efficiently solved by Transient Stability Constrained Optimal Power Flow (TSCOPF) models. TSCOPF studies extend well-known optimal power flow models by introducing the electromechanical oscillations of synchronous machines. One of the main approaches in TSCOPF studies includes the discretized differential equations that represent the dynamics of the system in the optimization model. This paper analyzes the impact of different implicit and explicit numerical integration methods on the solution of a TSCOPF model and the effect of the integration time step. In particular, it studies the effect on the power dispatch, the total cost of generation, the accuracy of the calculation of electromechanical oscillations between machines, the size of the optimization problem and the computational time.http://www.mdpi.com/1996-1073/12/5/885power system transient stabilityeconomic dispatchnumerical integration methodsnon-linear programmingoptimal power flow |
| spellingShingle | Francisco Arredondo Edgardo Daniel Castronuovo Pablo Ledesma Zbigniew Leonowicz Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model Energies power system transient stability economic dispatch numerical integration methods non-linear programming optimal power flow |
| title | Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model |
| title_full | Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model |
| title_fullStr | Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model |
| title_full_unstemmed | Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model |
| title_short | Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model |
| title_sort | analysis of numerical methods to include dynamic constraints in an optimal power flow model |
| topic | power system transient stability economic dispatch numerical integration methods non-linear programming optimal power flow |
| url | http://www.mdpi.com/1996-1073/12/5/885 |
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