Comparison of Hartley and Fourier Transforms in Harmonic Modelling of Five-Limb Core Transformer Inrush Current

ABSTRACT

It is well known that the magnitude of transformer inrush current depends on several factors such as transformer construction and the angle of the applied voltage at the time of energization. In this paper, a novel approach is proposed to compute inrush current in both of time and frequency domains taking into consideration the significance of formulas derived based on magnetic circuit of five-limb transformer. Electric circuit nonlinear mathematical equations are applied to solve inrush problem based on iteration via MATLAB code. The comparison of the Harmonic domain simulation results obtained from Hartley transform with that of Fourier transform proves the capability of Hartley transform to accurately assess inrush current requiring less number of computations.

KEYWORDS:

• Five-limb transformer
• Fourier transform
• Harmonic domain
• Hartley transform
• Inrush current
• Magnetic circuit

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Mohammad Ali Taghikhani

Mohammad Ali Taghikhani was born in Tehran, Iran, in 1974. He received the BSc and MSc degrees in electrical engineering from Amirkabir University of Technology, Tehran, Iran, in 1997 and 2000, respectively and received the PhD degree in electrical engineering from Iran University of Science and Technology, Tehran, Iran, in 2008. He is currently an assistant professor in the department of engineering, Imam Khomeini International University, Qazvin, Iran. His interests include power transformers, electrical machines, numerical analysis, finite element method, heat transfer and fluid mechanics.

E-mail: [email protected]

Zahra Taghikhani

Zahra Taghikhani was born in Tehran, Iran. She received her BSc degree in electrical engineering from Zanjan University, Zanjan, Iran, in 2011 and her MSc degree in electrical engineering from Mazandaran University of Science and Technology, Babol, Iran, in 2014. Her research interests include electrical machines and power transformers.

E-mail: [email protected]