Author(s)

Abdoulaye Zongo^1*, Daouda Konane², Frédéric Ouattara¹

¹Laboratoire de Recherche en énergétique et Météorologie de l’Espace (LAREME), Unités de Formations et de Recherches en Sciences et Technologies (UFR-ST), Université Norbert Zongo, Koudougou, Burkina Faso.
²Laboratoire de Matériaux et Environnement (LAME), Université Joseph KI-ZERBO, Ouagadougou, Burkina Faso.

Residential photovoltaic (PV) systems connected to the grid are used for self-consumption. Any surplus production is fed into the grid and contributes to improving the voltage. Several techniques are developed to model their connection. However, studies on methods of injecting energy production into the Low Voltage (LV) network are nowadays a problem. This paper proposes a mathematical model to determine the current to be injected and calculate each node’s voltage. The current equation is a recurrence relation with an initial condition. This initial condition is for the case of a single PV system connected to the LV grid. The equation can also be written in matrix form. Similarly, the voltage solution is a recurrence relation. It also has an initial condition for the first node. Both mathematical formulae with the proposed initial conditions are consistent and can be used for the determination of the current and voltage of the different nodes in the grid.

Residential PV System, Low Voltage Grid, Node, Mathematical Model, Electric Current

Zongo, A. , Konane, D. and Ouattara, F. (2022) Modeling of Residential Photovoltaic (PV) System Connected to Low Voltage (LV) Network: Application to Public Distribution Network of Burkina Faso. Journal of Applied Mathematics and Physics, 10, 2698-2707. doi: 10.4236/jamp.2022.109180.