A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution Networks
A photovoltaic (PV)-rich low-voltage (LV) distribution network poses a limit on the export power of PVs due to the voltage magnitude constraints. By defining a customer export limit, switching off the PV inverters can be avoided, and thus reducing power curtailment. Based on this, this paper propose...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | Journal of Modern Power Systems and Clean Energy |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10026490/ |
| _version_ | 1797902252679102464 |
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| author | Pedro P. Vergara Juan S. Giraldo Mauricio Salazar Nanda K. Panda Phuong H. Nguyen |
| author_facet | Pedro P. Vergara Juan S. Giraldo Mauricio Salazar Nanda K. Panda Phuong H. Nguyen |
| author_sort | Pedro P. Vergara |
| collection | DOAJ |
| description | A photovoltaic (PV)-rich low-voltage (LV) distribution network poses a limit on the export power of PVs due to the voltage magnitude constraints. By defining a customer export limit, switching off the PV inverters can be avoided, and thus reducing power curtailment. Based on this, this paper proposes a mixed-integer nonlinear programming (MINLP) model to define such optimal customer export. The MINLP model aims to minimize the total PV power curtailment while considering the technical operation of the distribution network. First, a nonlinear mathematical formulation is presented. Then, a new set of linearizations approximating the Euclidean norm is introduced to turn the MINLP model into an MILP formulation that can be solved with reasonable computational effort. An extension to consider multiple stochastic scenarios is also presented. The proposed model has been tested in a real LV distribution network using smart meter measurements and irradiance profiles from a case study in the Netherlands. To assess the quality of the solution provided by the proposed MILP model, Monte Carlo simulations are executed in OpenDSS, while an error assessment between the original MINLP and the approximated MILP model has been conducted. |
| first_indexed | 2024-04-10T09:14:45Z |
| format | Article |
| id | doaj.art-d9f50b1c61ef44c48774919bf932e146 |
| institution | Directory Open Access Journal |
| issn | 2196-5420 |
| language | English |
| last_indexed | 2024-04-10T09:14:45Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | Journal of Modern Power Systems and Clean Energy |
| spelling | doaj.art-d9f50b1c61ef44c48774919bf932e1462023-02-21T00:03:33ZengIEEEJournal of Modern Power Systems and Clean Energy2196-54202023-01-0111119120010.35833/MPCE.2022.00040010026490A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution NetworksPedro P. Vergara0Juan S. Giraldo1Mauricio Salazar2Nanda K. Panda3Phuong H. Nguyen4Intelligent Electrical Power Grids (IEPG) Group, Delft University of Technology,Delft,The Netherlands,2628CDEnergy Transition Studies Group, Netherlands Organisation for Applied Scientific Research (TNO),Amsterdam,The Netherlands,1043 NTElectrical Energy Systems (EES) Group, Eindhoven University of Technology,Eindhoven,The NetherlandsIntelligent Electrical Power Grids (IEPG) Group, Delft University of Technology,Delft,The Netherlands,2628CDElectrical Energy Systems (EES) Group, Eindhoven University of Technology,Eindhoven,The NetherlandsA photovoltaic (PV)-rich low-voltage (LV) distribution network poses a limit on the export power of PVs due to the voltage magnitude constraints. By defining a customer export limit, switching off the PV inverters can be avoided, and thus reducing power curtailment. Based on this, this paper proposes a mixed-integer nonlinear programming (MINLP) model to define such optimal customer export. The MINLP model aims to minimize the total PV power curtailment while considering the technical operation of the distribution network. First, a nonlinear mathematical formulation is presented. Then, a new set of linearizations approximating the Euclidean norm is introduced to turn the MINLP model into an MILP formulation that can be solved with reasonable computational effort. An extension to consider multiple stochastic scenarios is also presented. The proposed model has been tested in a real LV distribution network using smart meter measurements and irradiance profiles from a case study in the Netherlands. To assess the quality of the solution provided by the proposed MILP model, Monte Carlo simulations are executed in OpenDSS, while an error assessment between the original MINLP and the approximated MILP model has been conducted.https://ieeexplore.ieee.org/document/10026490/Low-voltage distribution networkphotovoltaic (PV) curtailmentoptimal power flowMonte Carlo simulations |
| spellingShingle | Pedro P. Vergara Juan S. Giraldo Mauricio Salazar Nanda K. Panda Phuong H. Nguyen A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution Networks Journal of Modern Power Systems and Clean Energy Low-voltage distribution network photovoltaic (PV) curtailment optimal power flow Monte Carlo simulations |
| title | A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution Networks |
| title_full | A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution Networks |
| title_fullStr | A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution Networks |
| title_full_unstemmed | A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution Networks |
| title_short | A Mixed-integer Linear Programming Model for Defining Customer Export Limit in PV-rich Low-voltage Distribution Networks |
| title_sort | mixed integer linear programming model for defining customer export limit in pv rich low voltage distribution networks |
| topic | Low-voltage distribution network photovoltaic (PV) curtailment optimal power flow Monte Carlo simulations |
| url | https://ieeexplore.ieee.org/document/10026490/ |
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