Mathematical Modeling of a Multimachine Wind Power Unit Condition at Electric Power Distributionto Consumers

Abstract

The relevance of wind power plantefficient control method,based on mathematical modeling of a multimachine wind power turbine process conditionforelectric power distribution to the consumers so as to minimize decision-making time of electric power production redistribution due to equipment failure data (generator,power storage system), that promotes optimum planning of consumer power supply,is validated. The offered two-level (hierarchical) approach allows to differentiate solutions of a mathematical modeling problem of the account of multimachine wind power unitprocess condition at the bottom level (level of generator arrangement addition sub connected to wind turbine) and the top level (wind turbinearrangement level, asawhole system) at electric power distribution to consumers in northern regions. In the result of effective wind power unit control analysis based on mathematical modeling of generator process condition sub connected to the wind power unit, it is reasonable to applymethods of game theory and mathematical methods ofdifference equation analysis of pulse system. Decision-making strategies at the bottom level of the technological process, caused by "nature" (generator working capacity or failure), scheduler (generator repair or redistribution) and phase co-ordinate condition (generator repair, downtime, redistribution or operation) are defined. Generator condition equation sub connected to wind power unit, giving access to equipment failure due to downtime, redistribution or repair data, optimizing planning of the electric power supply is described on the basis of the accepted strategies and the Heaviside step function Ф(t) to fix the technological process time.