# MECHANICAL CHARACTERISTICS OF THREE-PHASE INDUCTION MOTORS WITH SINGLE-PHASE POWER SUPPLY

## Authors

• V. S. Malyar Lviv Polytechnic National University, Ukraine
• A. V. Malyar Lviv Polytechnic National University, Ukraine

## Keywords:

mechanical characteristic, induction motor, single-phase power supply, boundary problem, projection method, capacitor

## Abstract

Aim. Development of a method for calculating mechanical characteristics 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.

## References

1. Bespalov V.Ya., Moshchynskyy Yu.А., Petrov А.P. Dynamic indicators of three-phase induction motors connected to single-phase supply. Elektrotekhnіka – Electrical engineering, 2000, no.1, pp. 13-19. (Rus).

2. Beshta А.S., Semin А.А. Evaluation of parameters of the equivalent circuit of the induction motor for asymmetrical power supply to the stator. Elektromekhanichni i enerhozberihaiuchi systemy – Electromechanical and energy saving systems, 2014, vol. 2, pp. 10-16. (Rus).

3. Malyar V.S., Malyar А.V. Mathematical modeling of periodic modes of electrotechnical devices. Electronnoe modelirovanie – Electronic Modeling, 2005, vol.27, no.3, pp. 39-53. (Rus).

4. Fyl'ts R.V. Matematicheskie osnovy teorii elektromekhanicheskikh preobrazovatelei [Mathematical foundations of the theory of electromechanical transducers]. Kyiv, Naukova Dumka Publ., 1979. 208 p. (Rus).

5. Shurub Yu.V. A mathematical model of an asynchronous capasitor engine with a thyristor control. Tekhnichna elektrodynamika – Technical electrodynamics, 1999, no.4, pp. 52-56. (Rus).

2016-06-24

## How to Cite

Malyar, V. S., & Malyar, A. V. (2016). MECHANICAL CHARACTERISTICS OF THREE-PHASE INDUCTION MOTORS WITH SINGLE-PHASE POWER SUPPLY. Electrical Engineering & Electromechanics, (3), 21–24. https://doi.org/10.20998/2074-272X.2016.3.03

## Section

Electrical Machines and Apparatus