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# Optimization of the Placement and Size of Photovoltaic Source

Maawiya Ould Sidi1,*, Mustafa Mosbah2, Rabie Zine3
1 RT-M2A Laboratory, Mathematics Department, College of Science, Jouf University, Sakaka, Saudi Arabia
2 University of Ghardaia, LACoSERE Laboratory, University Laghouat, Algeria
3 School of Science and Engineering, Al Akhawayn University in Ifrane, Morocco
* Corresponding Author: Maawiya Ould Sidi. Email:

Computers, Materials & Continua 2023, 74(1), 1855-1870. https://doi.org/10.32604/cmc.2023.030032

Received 17 March 2022; Accepted 26 April 2022; Issue published 22 September 2022

### Abstract

This paper presents a new optimization study of the placement and size of a photovoltaic source (PVS) in a distribution grid, based on annual records of meteorological parameters (irradiance, temperature). Based on the recorded data, the production output as well as the daily average power (24-h vector) of the PVS is extracted over the year. When a power vector is available, it can be used as an input when searching for the optimal size of the PVS. This allows to take into account the constraint of the variation of the power generated by this source considering the variation of the power consumed by the electrical loads during the whole day. A multi-objective fitness function has been considered. The latter minimizes the active losses and maximizes the voltage stability index during the day, while considering the constraints of the system, that is, the security, technical, geographical, and meteorological constraints. This problem was solved using the Non-dominated Sorting Genetic Algorithm NSGA-II optimization technique under MATLAB 2021. It was applied to the distribution network of Ghardaïa of 59 nodes.

### Keywords

Electric distribution network; intermittent generation; photovoltaic source; multi-objective optimization; active losses profile; voltage stability index profile

M. O. Sidi, M. Mosbah and R. Zine, "Optimization of the placement and size of photovoltaic source," Computers, Materials & Continua, vol. 74, no.1, pp. 1855–1870, 2023.

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