Vyshnevskyi S. Formation optimality conditions of stationary regimes of inhomogeneous electric systems with long-range power transmission using a generalized mathematical models

Subject of research. Normal operating conditions of power transmission grids with long-distance transmission lines. Target of research. Enhancement of optimized power flow control efficiency in inhomogeneous power transmission grids via improvement of existing mathematical models and optimal states based on wave behavior in long-distance transmission lines above 330 kV. Research approach. General techniques of dimensional analysis and mathematical models synthesis, linear and non-linear programming. Steady states of power transmission systems are calculated using mesh technique and nodal solutions approach. Steady states of long-distance transmission lines are modeled using quadrupole theory, matrix calculation basics, theory of graphs, decomposition technique and object oriented analysis are used for development of mathematical models and computational algorithm. Theoretical results. First-time implementation of steady state based mathematical model for compensating EMF in inhomogeneous power transmission grids. Mathematical model are based of general steady state behavior of inhomogeneous power transmission grids with long-distance transmission lines and establish conditions of more adequate evaluation of them inhomogeneity. Enhancement of conventional evaluation techniques of power transmission grid inhomogeneity was performed by considering of serial and parallel terms of distributed parameters in order to improve a method of estimation of power loss reduction. Conventional power flow optimization approach for control of power transformers with phase shifter are improved by considering of wave effect phenomenon of power transmission via long-distance transmission lines. Practical results. An effective approach technique of control improvement for inhomogeneous power transmission grids with long-distance transmission lines is demonstrated through appropriate studies. A development of analysis and optimization tools for the technical parameters of power transmission systems above 330 kV was performed in order to enhance of control methods in normal operation conditions. Stage of implementation. Developed techniques are used for improvement of behavior of South-West Power Grid System and successful integrated into academic activity of National University of Vinnitsa. Field of application - power industry.