Penetration of renewable energy in the infrastructural system of the electricity market

The penetration of renewable energy into the infrastructural system of the electricity market can have both positive and negative effects on the operation of the electricity market and the electric power system. The aim of the article is to build a mathematical model and create tools for assessing the impact of the penetration of renewable energy in the infrastructural system of the electricity market. The methodology of investigation is based on matrix modeling of multidimensional time series. Power generating units are grouped according to the technologies used for the production of electricity, forming the groups of generation sources. Such statistical indicators as the installed generating capacity of groups of generation sources, the amount of electricity generated by them, and the revenue from the sale of generated electricity were chosen as levels of multidimensional time series. The integral-matrix model of a multidimensional time series consists of a set of singular square matrices constructed at all levels of the time series. Each square matrix is obtained by multiplying the column matrix and the row matrix; their elements are, respectively, direct and inverse numerical values of sublevels of the embedded time series. As a result of algebraic operations on the elements of the square matrix, individual and integral indices of groups of sources of generation were obtained to assess changes in heterogeneity, monopolization, and concentration of chosen indicators. The calculation of the indices is based on the method of three mean values: harmonic mean, arithmetic mean and root mean square values. It is proposed to use these indicators for quantitative analysis of the penetration of renewable energy into the infrastructural system of the electricity market. This methodological approach will be used in the future to analyze the degree of the feasibility of the principle of equivalence of generation sources in the infrastructure system of the electricity market.