MATHEMATICAL MODEL OF A VOLTAIC SOLAR POWER PLANT

Abstract

In many countries, including Armenia.Solar power plants, are constructed according to the scheme of voltaic solar power plants that directly convert solar energy into electrical energy. The schemes and methods of research and calculation of such solar power plants are not sufficiently developed. That is solution to these issues is relevant. Mathematical models and software and computing complexes are effective tools for research and calculation. The developed schemes and mathematical model of a voltaic power plant based on a voltage inverter and a resonant parallel-series filter operating in parallel with the network are presented. The intensity of solar radiation is an argument for the processes taking place and, with the existing approach, is expressed by the magnitude of the generated direct current. Voltage and power are considered derived quantities. In the schemes and mathematical model, a transformation is performed in which solar panels are presented as a voltage source, where the independent variable is voltage, which linearly depends on solar radiation, and the function is the generated current and load power. Using the model, the following was studied: ensuring a sinusoidal shape of the output voltage, the frequency spectra and distortion coefficients of the output voltage shape were calculated, the functions of the transient process when connecting a solar power plant to the network, the load characteristics of the generation and transmission of active and reactive power to the network were determined. The developed mathematical model of a voltaic solar power plant is an adequate tool for research and calculation of power plant parameters. Studies conducted on the model confirm the possibility of generating and transmitting active and reactive power to the network, linearly related to the intensity of solar radiation, while ensuring the sinusoidal shape of the output voltage and satisfactory quality of the transient process. To increase the overloadability, stability and controllability of power (both active and reactive) of voltaic solar inverter power plants, it is advisable to use buffer batteries at the inverter input and/or synchronous compensators at the inverter output, as well as parallel operating synchronous generators of traditional power plants with low communication resistances.