OPTIMIZATION TASK RESOLUTION FOR HYBRID POWER SYSTEM
The work is devoted to solving the problem of stochastic optimization. As the optimization criteria, the following formulations are proposed: the total generated energy is practically equal to consumption, that is, the mathematical expectation of the inbalance is minimized; the value of power imbalance should be as low as possible; availability of a backup source with a given mode of work; limit on energy surplus, that is, on generation losses; restrictions on energy shortages, that is, on consumption losses; minimize the cost of equipment. It is determined that in the terms of optimization of the hybrid power system, the task of minimizing the cost of electricity, providing a certain amount of energy, if the mode of its receipt is insignificant, refers to the M-model. In the form of the M-task, the need to minimize consumption losses (LPSP-criterion) or energy losses (ЕХС-criterion) can be formulated with fixed restrictions. In the case of combined power systems based on RES, energy losses or consumption are caused by the spread of power values relative to the expected values, therefore, it is better to formulate such a problem in terms of the D-model. The option of the P-problem is to provide a standard current frequency. The conditions of the P-problem more often may appear as a constraint, since the main target function is still value figures. It is noted that often in tasks of stochastic optimization it is necessary to observe changes in mathematical expectation and dispersion at the same time, not to allow them to exceed the given values or to admit this excess with a certain probability. For solving this problem models with mixed conditions (two- and multicriteria tasks) are considered.