Least Square-Based Modelling of 0.5 HP Single-Phase Induction Motor

Abdul Hadi; Rindilla Antika; M. Farhan; Akmal Arif Ridhi Putra; Diva Ramadhan

doi:10.33019/jurnalecotipe.v12i2.4578

Authors

Abdul Hadi Politeknik Negeri Bengkalis
Rindilla Antika Politeknik Negeri Bengkalis
M. Farhan Politeknik Negeri Bengkalis.
Akmal Arif Ridhi Putra Politeknik Negeri Bengkalis.
Diva Ramadhan Politeknik Negeri Bengkalis.

DOI:

https://doi.org/10.33019/jurnalecotipe.v12i2.4578

Keywords:

Induction Motor, Least Square, Modelling and Parameter Estimation

Abstract

A single-phase induction motor is a cost-effective device for converting electrical energy into mechanical energy, making it widely used by small and medium-sized enterprises (SMEs). Understanding motor characteristics and analyzing control system performance requires precise mathematical modelling. Nevertheless, it is difficult to derive models from physical laws, and frequently overlooks fundamental elements like usage duration and environmental conditions. This study proposes using the Least Squares method to model a 0.5 HP single-phase induction motor. With an MSE of 0.0307 and an RMSE of 0.1753, the results demonstrate that the estimated model closely resembles the real system, with only minor errors. Simulink simulations demonstrate consistent delay time and settling time values across different input variations in both open and closed-loop tests. In closed-loop conditions, rise time was nonlinear, with the slowest response occurring at 220 V and the fastest at 190 V. In open-loop conditions, rise time increased linearly with input reference. These results demonstrate that, without requiring in-depth knowledge of the physical system, the Least Squares method offers a productive and useful way to create precise mathematical models of single-phase induction motors.

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