Modeling dynamic and static operating modes of a low-power asynchronous electric drive

The article presents a mathematical model of the asynchronous motor in oblique coordinates, based on differential equations expressed in the standard Cauchy form. The differential equations of traditional models are implicitly formulated; therefore, during numerical implementation for prolonged processes, matrix coefficient rotation leads to significant time expenditure and the accumulation of errors during integration. This complex task is proposed to be addressed by ensuring that the differential equations of the electromechanical state are non-stiff and, importantly, written in standard Cauchy form. The standard Cauchy form is essential for analyzing asynchronous motors, as changes in the number of unknowns significantly restructure the coefficient matrix. This formulation of the equations is convenient for numerical integration, as explicit methods, which are considerably simpler than implicit methods, can be implemented. To create a mathematical model, coordinate transformations were performed based on the classical theory of electric machines. The advantage of the proposed method of using different coordinate axes is the possibility of analyzing new variables and obtaining constant coefficients in the equations of state of the electric motor. The model accounts for the electromagnetic interactions of the motor’s electrical circuits and their nonlinearity, enabling the simulation of electromagnetic and electromechanical processes. Transitional operating modes of the asynchronous motor have been modeled and analyzed. The proposed model can be utilized for analyzing the operation of motors both as standalone elements and as components of an electromechanical system. It is demonstrated that this model aligns with classical electrical machine theory. Simulation results are provided, along with their analysis.