MATHEMATICAL MODEL OF ELECTRICITY DINAMIC PRISING IN MIRO GRIG WITH RENEWABLE SOURCES

Abstract

Development of theoretical bases for managing the processes of generation, accumulation and consumption of electricity in the microenergy system with a deterministic daily electricity consumption schedule with several sources based on one criterion - the conditional dynamic tariff. Given the discrete and combinatorial nature of mathematical problems for systems of
this kind, the principles of structuring, decomposition, as well as methods of discrete optimization, set theory, matrix algebra, are applied. Results. The paper substantiates the main provisions of the method of mathematical modelling of the functioning of the micro-energy system with traditional and renewable sources and its optimization based on the  conditional  dynamic  tariff  using  spectral  analysis.  It  is  shown  that  the  creation  of  electrical  systems based on mutually integrated distributed sources of electricity (traditional and renewable) requires the use of
automated control systems taking into account the topology, basic and mixed modes of operation, control of generation and consumption of electricity. Originality. For the first time, it was proposed to use a mathematical model of the functioning of a
micro  grid  with  mutually  integrated  distributed  sources  of  electricity  and  computer  control  systems  with regard to topology, control of generation and consumption of electricity based on spectral analysis, which made  it  possible  to  optimize  such  electricity  complexes  according  to  one  criterion - conditional  dynamic tariff. Practical  significance.  The  obtained  results  create  prerequisites  for  solving  problems  related  to
mathematical modelling of the operation of complex multicomponent systems, the definition of procedures
for  analyzing  their  effectiveness  and  optimality,  the  improvement  of  control  algorithms,  the  creation  of appropriate software.