Mathematical model work hybrid power

Physical interactions and mathematical model of the hybrid power plant are considered. It contains a multimachine wind plant with two groups of different type’s generators and a typical solar electrical installation which are considered here and as the reserve sources a synchronous diesel generator and the accumulator battery are used. This way all sources, through straighteners, are working for direct current common bus bar with the load connected to it which, in its turn, switches on connected in parallel payload variable and the ballast load to relieve excess power. Mathematical description of the power plant is represented by a number of equations of electrical and mechanical equilibrium, ratios for calculating the current - for the optimal wind turbine rotation speed.

In the description of synchronous generators done according to the Park-Gorev's the damping contours, the electromagnetic dynamics of the winding swaying of the machines and the saturation of magnetic circuits are not taken into account. At the same time the individual equation takes into account the angle of the difference between the axis of wind turbines and the reserve generator. The simplified battery model in working mode represents the series connection of internal resistance and the voltage source and current flowing through the battery characterizes the speed of its charge changing. Mechanical equilibrium equations take into account the torque of the wind wheel and the brake electromagnetic moments of the VEU generators. As the generators voltage is served to the DC bus through the straighteners, the task is mainly not to stabilize the wind turbine rotation speed but to maintain its operation with maximum output power while speed changing.

According to the modeling results of the simulation implemented in the Mathcad environment it is shown that the constructed mathematical model as a whole really reflects the processes of its working mode and the physical interactions of the main elements - sources and consumers of electricity in case of variable wind streams, sunlight level and load changing.

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