Solution of nonlinear stiff differential equations for a three-phase no-load transformer using a Runge–Kutta implicit method

The paper presents an approach to differential equation solutions for the stiff problem. The method of using the classic transformer model to study nonlinear steady states and to determine the current pulses appearing when the transformer is turned on is given. Moreover, the stiffness of nonlinear o...

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Bibliographic Details
Published in:Archives of Electrical Engineering (Online) 2022-01, Vol.71 (4), p.1081-1106
Main Authors: Baron, Bernard, Kolańska-Płuska, Joanna, Łukaniszyn, Marian, Spałek, Dariusz, Kraszewski, Tomasz
Format: Article
Language:English
Subjects:
circuit model of a three-phase transformer
Current pulses
Differential equations
Electrical engineering
Equations of state
Implicit methods
Informatics
Load
Magnetic fields
Magnetism
Mathematical models
Numerical analysis
Ordinary differential equations
Partial differential equations
Runge-Kutta method
runge–kutta implicit methods
stiff nonlinear ordinary differential equations
Stiffness
Transformers
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Description
Summary:The paper presents an approach to differential equation solutions for the stiff problem. The method of using the classic transformer model to study nonlinear steady states and to determine the current pulses appearing when the transformer is turned on is given. Moreover, the stiffness of nonlinear ordinary differential state equations has to be considered. This paper compares Runge–Kutta implicit methods for the solution of this stiff problem.
ISSN:2300-2506
1427-4221
2300-2506
DOI:10.24425/aee.2022.142126