Netrebskyi V. Optimisation of electropower systems normal modes on the basis of least action principle.

A research object is the normal modes of the electroenergy systems (ЕPS); the aim of work is reduction of charges during a production and transporting of electric power by the use of mathematical models and methods of optimization of the normal modes of the electroenergy systems on the basis of principle of the least action; used methods of the linear and nonlinear programming, methods of theory of similarity and design, mathematical vehicle of variation calculation, methods of theory of automatic control; theoretical results - the method of complex optimization of the normal modes of the electroenergy system is offered on principles of principle of the least action for reduction of charges on a production and transporting of electric power. The mathematical model of process of optimization of the normal modes of the electroenergy system is first offered on the basis of principle of Hamilton-Ostrogradski, that allowed to optimize the modes of ЕPS from the economic mode to optimal taking into account active limitations; the method of optimization of the modes of the electroenergy system got further development on active and reactive powers with the use of principle of the least action; the adaptive system of automatic control of the electroenergy system in that as a standard model the model of the economic mode of the electroenergy system is used the normal mode is improved. Practical results - an algorithm and program of determination of the economic and optimal modes of ЕPS are worked out; an algorithm and program of adjustment of laws of optimal management and managing influences of the in-plant adaptive system of automatic control are worked out in accordance with the changes of calculation terms at ЕPS and parameters of the economic mode. It gives an opportunity to perfect the process of optimization of the modes of electric networks. The degree of implementation - the results have been implemented in 'Pivdenno-Zahidna' power systems and in the scientific process of Vinnitsa Techical University. Scope of - power engineering.