Conditions for the optimality of the criterion programming problem and determination of basic parameters of community power generation

Abstract

The paper presents the application of the criterion programming problem and determination of its basic parameters to predict the behavior of an energy community in Ukraine during the war and post war restructure process. The main problem of the criterion programming is the implementation of renewable energy sources – especially grid-on photovoltaic hybrid system. The theoretical method starts from the basic equation of the criterion programing problem. The model is than developed with continuous indexing resulting to orthonormal equations. Next, the convexity of the function isanalyzed and system of nonlinear equations is generated. The basic criteria is calculated what results in definition of remaining similarity criteria. Next, normalization and residual vectors are calculated allowing the definition of the optimal values. If the similarity criteria is optimal, the substitution in the equation leads to final result. Proposed method was verified on model situation ofspecific community in Ukraine. The calculations were made in PV*SOL Premium as described in the last part of the paper. This mathematical model can be practically used to analyze the energy needs of a community in emergency situation and to define the optimal energy covering of it needs. Particularly, it can be used in war and post war conditions in Ukraine to enhance the conditions in damaged and overloaded energy grid and to improve the energy resilience.