Abstract
Many existing methods and algorithms for optimization of short-term modes of power systems provide in calculations the introduction of a slack bus station, which ensures the balance of active power and, accordingly, the permissible frequency. In cases where the real load deviates from the planned one, determined by forecasting, the power system mode may turn out to be not optimal, and sometimes even not acceptable. This factor is especially noticeable in conditions of partial uncertainty of initial information about loads of nodes. To overcome this problem, planning of power system mode should be carried out taking into account the frequency change and, accordingly, the regulatory capabilities of all stations. This paper proposes an algorithm for optimization of modes of power systems in terms of partial uncertainty of initial information about loads, taking into account the frequency change. On the basis of computational experiments using the proposed algorithm, it is shown that taking into account the frequency change when planning modes of power systems with partially undefined loads of nodes can give a significant economic effect.
Highlights
Optimal planning of short-term modes of modern power systems refers to complex problems of nonlinear mathematical programming
This paper proposes an algorithm for optimization of modes of power systems in terms of partial uncertainty of initial information about loads, taking into account the frequency change
The efficiency of the given algorithm is investigated by the example of optimal distribution of total partially uncertain load of power system between four thermal power plants (TPP) taking into account the frequency change
Summary
Optimal planning of short-term modes of modern power systems refers to complex problems of nonlinear mathematical programming It is characterized by the presence of a large number of variables of different scales, simple and functional constraints in the form of equalities and inequalities. Such problems are solved on the basis of dividing the planned period (for example, a day) into small time intervals (for example, hours), within which the system is considered as a static system. A new algorithm for power systems mode optimization under conditions of partial uncertainty of the initial information, taking into account the frequency change is proposed
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