MATLAB analysis of dynamic modes of three-phase three-core transformers

Martynov, V. A.; Golubev, A.; Evdakov, A E

doi:10.17588/2072-2672.2016.4.011-018

Vestnik IGEU

2016

DOI: 10.17588/2072-2672.2016.4.011-018

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MATLAB analysis of dynamic modes of three-phase three-core transformers

V. A. Martynov¹,

A. Golubev²,

A E Evdakov³

Abstract: Состояние вопроса: В настоящее время расчет динамических режимов различных нелинейных электромагнитных устройств относительно мгновенных токов и напряжений производят численными методами. При этом широкое распространение получил программный продукт MATLAB, являющийся высокоуровневой средой программирования. Однако возможностей встроенных блоков MATLAB недостаточно для адекватного описания цепей, содержащих нелинейные электромагнитные устройства, в частности трехстержневые трансформаторы. Это проявляется при ис… Show more

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Development of a nonlinear model of a three-phase transformer to study the effect of asymmetry of the magnetic system on the operation of the device in arbitrary modes

Тихонов

Stulov²,

Karzhevin

et al. 2020

Vestnik IGEU

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Currently, when designing power transformers in order to take into account the influence of the asymmetry of the magnetic system on the operation of the device, especially in transition modes, engineering analysis packages based on field models are increasingly being used. However, such models are slow. At the same time, dynamic transformer models based on the magnetic circuit model are not inferior in accuracy to field models. Existing chain models of a three-phase transformer either do not take into account the asymmetry of the magnetic system or poorly integrate with simulation packages. The purpose of this article is to develop a dynamic model of a three-phase transformer which would allow considering the design features at the design stage, in particular, the asymmetry of the magnetic system and the influence of these features on arbitrary modes of the device operation. A contour current method was used to calculate a non-linear magnetic circuit of a three-rod transformer, and a single-step method based on a modified 2nd order Rosenbrock formula was used to calculate the electrical circuit. A nonlinear dynamic model of a three-phase three-core transformer based on the use of controlled current sources and EMF has been developed. This model is able to integrate with simulation packages including MatLab Simulink SimPowerSystem. The model allows taking into account the influence of the asymmetry of the magnetic system on the transformer operation in various operating modes including emergency and asymmetric ones. The novelty of the developed model can be seen in the approach to constructing a nonlinear matrix of magnetic resistances without explicitly using inductance matrices, which increases the accuracy and stability of the model considering the asymmetry of the magnetic system. The curves of transients in the characteristic operating modes of the transformer are given. The developed models can be used in the design of power transformers, including specific ones. They enable to increase the accuracy of the verification calculation and bring it to the level of simulation modelling. These models can also be applied for constructing digital twins of power transformers taking into account the influence of the design features of transformer equipment on the operation of power grids.

show abstract

Development of a nonlinear model of a three-phase transformer to study the effect of asymmetry of the magnetic system on the operation of the device in arbitrary modes

Тихонов

Stulov²,

Karzhevin

et al. 2020

Vestnik IGEU

View full text Add to dashboard Cite

show abstract

A Simulation Model of a Three-Phase Power Transformer with a Twisted Shell-Type Magnetic Circuit

Тихонов

Karzhevin

Golubev

et al. 2023

Russ. Electr. Engin.

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Calculation of Power Transformer Inductance Matrix

Orlov,

Volkov,

Garipov

2023

Vestn. Čuv. univ.

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Practical calculations of electric equipment and electric networks are performed using equivalent circuits. Without taking into account saturation phenomena, electromagnetic processes in a power transformer are described by a system of linear equations, which can be represented in matrix form. The transformer inductance matrix contains self and mutual winding inductances, whose values for one phase are determined directly from the passport data containing the results of no-load and short circuit experiments. Mutual inductances between phases depending on the type and size of the magnetic core are not usually given in the transformer documentation. It does not allow to simulate the operating modes that differ from the steady state with uniform phase load. The purpose of the work is to develop an algorithm for calculating elements of the power transformer inductance matrix according to its passport data and magnetic circuit parameters. The scientific novelty lies in use of information about magnetic circuit type and size to determine elements of the inductance matrix. Materials and methods. Methods of linear electric and magnetic circuit theory are used in the work. Results. The proposed algorithm for calculation of power transformer inductance matrix includes three stages: calculation of self and mutual inductances for one phase; construction of an equivalent circuit for a magnetic circuit and calculation of magnetic fluxes in order to take into account the mutual influence of windings on various phases; assembly of the inductance matrix of three-phase transformer. A method is proposed for constructing the transformer inductance matrix with an arbitrary type of magnetic circuit, phases and windings quantity. The method involves preliminary calculation of the coefficient matrix that characterizes the magnetic circuit and depends mainly on its type and, to a less, on the ratio of geometric dimensions in rods and yokes. The coefficient matrix can be calculated in advance and used to determine the inductance matrix of a wide range of transformers. Conclusions. 1. The passport data of the transformer do not allow to model transformer operation at unbalanced load validly. 2. An algorithm for determining the inductance matrix of transformers has been developed. 3. A method for compilation of a transformer inductance matrix with an arbitrary type of magnetic circuit, the number of phases and windings is introduced. The practical significance of the algorithm is determined by the simplicity of algorithmizing, as well as by the possibility of using it in computer simulation of electrical circuits with transformers, for example, using the modified nodal analysis method.

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MATLAB analysis of dynamic modes of three-phase three-core transformers

Cited by 3 publications

References 0 publications

Development of a nonlinear model of a three-phase transformer to study the effect of asymmetry of the magnetic system on the operation of the device in arbitrary modes

Development of a nonlinear model of a three-phase transformer to study the effect of asymmetry of the magnetic system on the operation of the device in arbitrary modes

A Simulation Model of a Three-Phase Power Transformer with a Twisted Shell-Type Magnetic Circuit

Calculation of Power Transformer Inductance Matrix

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