Abstract

The paper deals with very fast transient phenomena in a system consisting of two parts: a cable line and a transformer winding. In this case an adequate model should be considered as a circuit with distributed parameters. Its description is given by a system of partial differential equations of hyperbolic type. Our approach is based on a numerical solution in the time domain and the method FDTD has been used. It allows obtaining results in a form of time-space voltage and current wave distribution along the cable line and the transformer winding. This distribution is depending on many factors some of them were studied in this paper.

Highlights

  • It is a common practice to connect a transformer in a substation to the incoming line through a cable

  • The paper deals with very fast transient phenomena in a system consisting of two parts: a cable line and a transformer winding

  • Its description is given by a system of partial differential equations of hyperbolic type

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Summary

Introduction

It is a common practice to connect a transformer in a substation to the incoming line through a cable. Due to different surge impedances of both, the cable and the transformer winding, reflections appear at the transformer winding input Because of these reflections the voltage or current peak value can reach higher values than it was considered in the design of the isolation and protection systems. According to practical experiences the distribution of voltage and current wave in a transformer winding depends on transformer parameters and on the shape of a travelling surge wave which is propagating from the transmission line connected to the transformer. In this case is necessary to study an influence of line parameters. This approach allows a for- The first order derivatives have been replaced by the mulation of a common algorithm for numerical compu- following differences: tation

Mathematical Model
Algorithm for Numerical Solution
Illustrative Examples
Overvoltage Induced by Step Voltage Surge Wave
Overvoltage Induced by Voltage Surge Wave
Conclusion
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