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Tecnura

Print version ISSN 0123-921X

Abstract

MARTINEZ-PENALOZA, Alejandra; OSMA-PINTO, German  and  ORDONEZ-PLATA, Gabriel. Parameter Determination of Coupled and Decoupled Admittance Matrix Methods of the Norton Equivalent Model for an Air Extractor. Tecnura [online]. 2022, vol.26, n.74, pp.17-34.  Epub Sep 19, 2022. ISSN 0123-921X.  https://doi.org/10.14483/22487638.18806.

Context:

Studies carried out in low voltage networks have explored the modeling of linear single-phase loads (such as motors) and non-linear ones (such as those based on power electronics). However, induction motors exhibit non-linear characteristics between voltage and current due to the saturation of their magnetic parts. Therefore, it is necessary to study induction motors in the frequency domain with a model that allows reviewing the characteristic nonlinearity of their voltage-current interaction.

Methodology:

This article presents the frequency domain modeling of a single-phase induction motor used as a silent air extractor (127 V, 60 Hz, 66 W), which presents a capacitive behavior (fp = 0,93 in leading) and harmonic distortion due to a third-order component (7,0%) when fed with a pure sinusoidal voltage of 127 V.

Results:

This work establishes the parameters of two approaches to the Norton equivalent model (coupled and decoupled admittance matrix) which are used to estimate the distorted current signal and the values of consumed active and non-active power. The results show comparisons errors of P, Q, THDi, and NRMSE indices of less than 7, 4, 14, and 3%, respectively.

Conclusions:

The parameters of the Norton equivalent model estimated for the single-phase induction motor allow calculating the current signal with a high degree of precision. This signal exhibits nonlinear characteristics and a capacitive behavior due to the permanent presence of a capacitor aiding the start and operation of the engine.

Funding:

MINCIENCIAS

Keywords : harmonic distortion; load modeling; Norton model; single-phase motor; NRMSE.

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