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Self-Capacitance of High-Voltage Transformers | IEEE Journals & Magazine | IEEE Xplore

Self-Capacitance of High-Voltage Transformers


Abstract:

The calculation of a transformer's parasitics, such as its self capacitance, is fundamental for predicting the frequency behavior of the device, reducing this capacitance...Show More

Abstract:

The calculation of a transformer's parasitics, such as its self capacitance, is fundamental for predicting the frequency behavior of the device, reducing this capacitance value and moreover for more advanced aims of capacitance integration and cancellation. This paper presents a comprehensive procedure for calculating all contributions to the self-capacitance of high-voltage transformers and provides a detailed analysis of the problem, based on a physical approach. The advantages of the analytical formulation of the problem rather than a finite element method analysis are discussed. The approach and formulas presented in this paper can also be used for other wound components rather than just step-up transformers. Finally, analytical and experimental results are presented for three different high-voltage transformer architectures.
Published in: IEEE Transactions on Power Electronics ( Volume: 22, Issue: 5, September 2007)
Page(s): 2081 - 2092
Date of Publication: 10 September 2007

ISSN Information:


I. Introduction

The electrostatic analysis of wound components has been a fascinating research field since the beginning of last century when the study of the surge performance of transformers became an increasingly crucial issue for predicting the devices' frequency behavior [1], [2]. As soon as wideband transformers began appearing in telecommunication systems in the forties [3], [4], so followed papers devoted to the frequency characterization of these magnetic components [5] and, in particular, to the calculation of their self-capacitance [6]–[11]. The definition of a self-capacitance as a shunt lumped-element in the equivalent circuit of the wire-wound component is a very useful tool to justify and reproduce the first resonant frequency. However, the concept of self capacitance is well beyond any lumped-element circuit theory since it is an attempt to circumvent transmission line effects on wound-components when the current distribution begins to depart from its dc behavior [12], [13]. Recently, procedures for calculating the capacitance have been proposed for inductors [14], planar transformers [15], [16], magnetic components within SMPS [17], high-frequency transformers [18], [19] and power transformers [6], [7].

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