SOLITON SOLUTION OF ELECTROMECHANICAL TRANSIENT PROCESSES IN ELECTRIC POWER SYSTEMS

Abstract

The paper introduces the solution of the wave equation of the electromechanical system of electric power engineering in the form of a soliton – solitary wave. The causes of such waves are described. The solutions are considered in the phase plane, a numerical example of the soliton solution was given. The main aim of the research is to find the soliton solutions in transients of electromechanical systems, and explain the causes of their occurrence, explain this physical phenomenon, determine the role this phenomenon plays in the sustainability assessment, and propose the measures to eliminate the violation of stability in the presence of a soliton wave. Methods: phase plane method, numerical differential equation by the Runge–Kutt method, state space method. Results. It was found out that when the turbine–generator equation solution is approaching to the dynamic stability boundary, the solitons – solitary waves of the generator angle – appear. Conclusions., These waves behave like particles at propagation, that allows analyzing the exchange of energies (power flows) as the exchange in mechanical particles with energies. When stability is violated, harmonic oscillations arise, which are transformed into a group of solitons which propagation can be considered as the propagation of particles.

Keywords

• wave surge
• soliton
• electromechanical transients
• dynamic system
• phase space