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• Published in: Electronics and electromechanics no. 3; p. 21
• Main Authors: Malyar, V S, Malyar, A V
• Format: Journal Article
• Language: English
• Published: Kharkiv National Technical University, Ukraine 01.01.2016
• Subjects: Adequacy; Algorithms; Capacitance; Circuits; Coils (windings); Coordinates; Electromagnetic induction; Induction motors; Mathematical analysis; Mathematical models; Mechanical properties; Power supply
• ISSN: 2074-272X; 2309-3404
• DOI: 10.20998/2074-272X.2016.3.03

Aim. Development ofa method for calculating mechanicalcharacteristics of three-phase induction motors with single-phase power supply. Methods. The developed algorithm is based on the high-adequacy mathematical model of motor and projection method for solving the boundary problem for equations of electrical circuits balance presented in the three-phase coordinate system. As a result of asymmetry of power supply to the stator windings, in steady state, flux-linkage and current change according to the periodic law. They are determined by solving the boundary problem. Results. The developed mathematical model allows determining periodic dependence of coordinates as a function of slip and, based on them, mechanical characteristics of motors. Academic novelty.The developed method relies on a completely new mathematical approach to calculation of stationary modes of nonlinear electromagnetic circuits, which allows obtaining periodic solution in a timeless domain. Practical value.Using the developed calculation algorithm, one can select capacitance required to start an induction motor with single-phase power supply and calculate static mechanical characteristics at a given capacitance.