Ostashenkov A.P., Medyakov A.A., Kamenskih A.D., Vorobyov K.M.

Mathematical modeling of electricity production by a PV installation for the conditions of the Republic of Mari El

The authors built a mathematical model of the production of electricity by a PV installation with a grid inverter, intended for power supply of a rural residential building, for the conditions of the central part of the Republic of Mari El. Authors considered several options for the PV system: fixed-tilt PV panels, PV panels with a solar tracking system and a concentrator PV system. The most effective in terms of the electricity sold is the concentrator PV system. Compared to the version of the system with fixed-tilt PV panels, the use of concentrators provides a more than threefold increase (with a solar radiation concentration factor of 2) in the annual volume of electricity sold. For the variant of the system with PV panels with the solar tracking system (without concentrators), the analogous figure is 18.4%. The cost of electricity sold per year (at a price of 3.2 rubles / kWh) for three variants of the system will be: the system with fixed-tilt PV panels – 9140 rubles, the system with PV panels with the solar tracking system - 10820 rubles, the concentrator PV system - 30250 rubles.

Keywords:PV INSTALLATION, MATHEMATICAL MODELING, VOLUME OF SOLD ELECTRICITY