Investigation of wave processes of transformer windings as a distributed electric circuit

Yusup N. Isaev, Elena V. Startseva, Artyom V. Schekotuev

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Relevance of the work is caused by the need of localize the defects of the transformer windings at diagnosis. It is possible to determine the spatial location of the defects along the transformer winding only if the transformer is considered as a system with distributed parameters. The main aim of the study is to present the transformer winding in the form of distributed electric circuit and to study the transients of such a circuit in two cases, at grounded winding end and at open winding end; to determine primary and steady voltage distribution along the transformer windings at the grounded winding end and open winding end; to search for possible ways to overcome the overvoltage arising along the transformer winding. The aim of the work is to obtain as well the transitional function caused by a unit action, in order to use subsequently the Duhamel integral which allows obtaining the transients in the transformer winding at an arbitrary external action. The methods used in the study are based on equations solution in partial derivatives using Laplace transform and transfer functions. It uses the initial conditions along the transformer winding and the boundary conditions at the ends of the windings. The final solution of partial differential equations is represented as a series, that is in the form of wave superposition with different frequencies. The results. The obtained transfer function of the voltage distribution along transformer windings allows determining: primary and steady stress distribution; over-voltage transient conditions; optimal values of distributed capacitance, and minimizing overvoltage along the winding.

Original languageEnglish
Pages (from-to)29-35
Number of pages7
JournalBulletin of the Tomsk Polytechnic University, Geo Assets Engineering
Volume326
Issue number8
Publication statusPublished - 2015

Fingerprint

Transformer windings
transfer function
defect
Networks (circuits)
Laplace transform
boundary condition
Transfer functions
Electric potential
Defects
distribution
Laplace transforms
Partial differential equations
Stress concentration
Capacitance
Boundary conditions
Derivatives

Keywords

  • Boundary condition
  • Distributed parameters
  • Transfer function
  • Transformer winding
  • Wave processes

ASJC Scopus subject areas

  • Economic Geology
  • Geotechnical Engineering and Engineering Geology
  • Fuel Technology
  • Management, Monitoring, Policy and Law
  • Waste Management and Disposal
  • Materials Science (miscellaneous)

Cite this

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abstract = "Relevance of the work is caused by the need of localize the defects of the transformer windings at diagnosis. It is possible to determine the spatial location of the defects along the transformer winding only if the transformer is considered as a system with distributed parameters. The main aim of the study is to present the transformer winding in the form of distributed electric circuit and to study the transients of such a circuit in two cases, at grounded winding end and at open winding end; to determine primary and steady voltage distribution along the transformer windings at the grounded winding end and open winding end; to search for possible ways to overcome the overvoltage arising along the transformer winding. The aim of the work is to obtain as well the transitional function caused by a unit action, in order to use subsequently the Duhamel integral which allows obtaining the transients in the transformer winding at an arbitrary external action. The methods used in the study are based on equations solution in partial derivatives using Laplace transform and transfer functions. It uses the initial conditions along the transformer winding and the boundary conditions at the ends of the windings. The final solution of partial differential equations is represented as a series, that is in the form of wave superposition with different frequencies. The results. The obtained transfer function of the voltage distribution along transformer windings allows determining: primary and steady stress distribution; over-voltage transient conditions; optimal values of distributed capacitance, and minimizing overvoltage along the winding.",
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AU - Isaev, Yusup N.

AU - Startseva, Elena V.

AU - Schekotuev, Artyom V.

PY - 2015

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N2 - Relevance of the work is caused by the need of localize the defects of the transformer windings at diagnosis. It is possible to determine the spatial location of the defects along the transformer winding only if the transformer is considered as a system with distributed parameters. The main aim of the study is to present the transformer winding in the form of distributed electric circuit and to study the transients of such a circuit in two cases, at grounded winding end and at open winding end; to determine primary and steady voltage distribution along the transformer windings at the grounded winding end and open winding end; to search for possible ways to overcome the overvoltage arising along the transformer winding. The aim of the work is to obtain as well the transitional function caused by a unit action, in order to use subsequently the Duhamel integral which allows obtaining the transients in the transformer winding at an arbitrary external action. The methods used in the study are based on equations solution in partial derivatives using Laplace transform and transfer functions. It uses the initial conditions along the transformer winding and the boundary conditions at the ends of the windings. The final solution of partial differential equations is represented as a series, that is in the form of wave superposition with different frequencies. The results. The obtained transfer function of the voltage distribution along transformer windings allows determining: primary and steady stress distribution; over-voltage transient conditions; optimal values of distributed capacitance, and minimizing overvoltage along the winding.

AB - Relevance of the work is caused by the need of localize the defects of the transformer windings at diagnosis. It is possible to determine the spatial location of the defects along the transformer winding only if the transformer is considered as a system with distributed parameters. The main aim of the study is to present the transformer winding in the form of distributed electric circuit and to study the transients of such a circuit in two cases, at grounded winding end and at open winding end; to determine primary and steady voltage distribution along the transformer windings at the grounded winding end and open winding end; to search for possible ways to overcome the overvoltage arising along the transformer winding. The aim of the work is to obtain as well the transitional function caused by a unit action, in order to use subsequently the Duhamel integral which allows obtaining the transients in the transformer winding at an arbitrary external action. The methods used in the study are based on equations solution in partial derivatives using Laplace transform and transfer functions. It uses the initial conditions along the transformer winding and the boundary conditions at the ends of the windings. The final solution of partial differential equations is represented as a series, that is in the form of wave superposition with different frequencies. The results. The obtained transfer function of the voltage distribution along transformer windings allows determining: primary and steady stress distribution; over-voltage transient conditions; optimal values of distributed capacitance, and minimizing overvoltage along the winding.

KW - Boundary condition

KW - Distributed parameters

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