Universal mathematical model of a synchronous machine in stator phase coordinates
Synchronous machines, as a rule, are used for the electric drive of critical units, the failure of which leads to large economic losses. For this reason, trouble-free operation is a prerequisite for synchronous machines. One way to improve reliability is to identify problems and classify them in a timely manner. Creating mathematical models of synchronous machines allows you to solve this problem. The authors used methods of mathematical modeling based on schemes with concentrated parameters, the theory of state variables, methods of mathematical programming and numerical methods of calculation using applied computer programs. In the course of the work, a universal substitution scheme for a single-pole synchronous machine in the phase coordinates of the stator was created, and the equations of the mathematical model were compiled in differential form with a transition to the matrix form of the record. The dependences of the stator currents in a function of time are obtained by solving the system in matrix form using applied computer programs. The obtained dependencies are analyzed. The developed model makes it possible to identify different types of stator winding closures at different stages of development.