# Modelling of a car starter with permanent magnet commutator motor

M. Ciurys (Institute of Electrical Machines, Drives and Measurements, Wroclaw University of Technology, Wroclaw, Poland)
I. Dudzikowski (Institute of Electrical Machines, Drives and Measurements, Wroclaw University of Technology, Wroclaw, Poland)
D. Gierak (Institute of Electrical Machines, Drives and Measurements, Wroclaw University of Technology, Wroclaw, Poland)

ISSN: 0332-1649

Publication date: 8 May 2009

## Abstract

### Purpose

The purpose of this paper is to present a developed modelling method of a car starter with permanent magnet commutator motor.

### Design/methodology/approach

Mathematical model, algorithm and computational program of electrical and mechanical quantities transients in the system: battery – car starter with permanent magnet commutator motor and planetary gear – combustion engine were developed. Circuit‐field method was applied. Magnetic quantities determined using time‐stepped finite‐element method (with the help of Maxwell software) were used as the parameters of mathematical model equations in circuital part. Program was developed in the Matlab environment.

### Findings

The developed mathematical model, the algorithm and the program enable the computations of transients of electrical and mechanical quantities at different ambient temperature, by different swept capacity of the combustion engine as well as by different battery capacity and different charge ratio.

### Research limitations/implications

The analysis was carried out on an example of four‐cylinder combustion engine. However, the developed modelling method can be used for analysis of different combustion engines start‐up.

### Practical implications

The proposed modelling method is useful for analysis of car starters at the stage of design.

### Originality/value

The originality of the work consist in the fact that in the developed model variation of the car starter load torque as well as the variations of the entire mechanical system moment of inertia were taken into account.

## Keywords

#### Citation

Ciurys, M., Dudzikowski, I. and Gierak, D. (2009), "Modelling of a car starter with permanent magnet commutator motor", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 28 No. 3, pp. 722-729. https://doi.org/10.1108/03321640910940972

### Publisher

:

Emerald Group Publishing Limited

Copyright © 2009, Emerald Group Publishing Limited

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