Simulation of the remanence influence on the transient states of the single-phase transformer including feedback Preisach model

Wilk, Andrzej; Michna, Michał; Cichowski, Artur

doi:10.1109/iecon.2014.7048604

Cited by 7 publications

(8 citation statements)

References 18 publications

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“…The use of a capacitor as a power source has provided a relatively high repeatability of the measured transient states independent of the moment of switching and the phenomena at the terminals of the connector [33]. The measurement results of inrush currents are shown in Fig.…”

Section: Measurements and Simulation Resultsmentioning

confidence: 89%

Simulation of the remanence influence on the transient states in a single-phase multiwinding transformer

Wilk

Michna

2017

Archives of Electrical Engineering

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This paper presents the mathematical model of a single-phase multi-winding core type transformer taking into account magnetic hysteresis phenomenon based on the feedback Preisach model (FPM). The set of loop differential equations was developed for a K-th winding transformer model where the flux linkages of each winding includes flux Φ common to all windings as a function of magneto motive force Θ of all windings. The first purpose of this paper is to implement a hysteresis nonlinearity involved in the Φ(Θ) function which also accounts residual magnetic flux. The second purpose of this paper is experimental validation of the developed transformer model in a capacitor discharge test and several different values of residual magnetic flux.

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Section: Measurements and Simulation Resultsmentioning

confidence: 89%

Simulation of the remanence influence on the transient states in a single-phase multiwinding transformer

Wilk

Michna

2017

Archives of Electrical Engineering

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“…The eddy current effects and excess losses in the core are modelled with an additional circuit defined by inductance Me and resistance R Fe . Resistance R Fe represents both the classical and anomalous eddy current losses (which may be non-linear) [8].…”

Section: Transformer Modelmentioning

confidence: 99%

“…The relation between Φc and Θ involves the feedback Preisach model of hysteresis presented in [7,8].…”

Section: Transformer Modelmentioning

confidence: 99%

“…Since there are several magnet types at SIS100 that are characterized by an inductance which varies from 0.4 to 140 mH, the system has to be built in such a way that the capacitance and iniBrought to you by | MIT Libraries Authenticated Download Date | 5/11/18 7:51 PM tial voltage can be adjusted in accordance to the required energy level. On account of the unavailability for testing of the first SC magnets, the study of the inter-turn fault effects was conducted on a special toroidal transformer for which a very accurate mathematical model was developed [7][8][9]. The model takes into account the nonlinearity and hysteresis of the magnetic yoke.…”

Section: Introductionmentioning

confidence: 99%

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Detection of inter-turn faults in transformer winding using the capacitor discharge method

et al. 2017

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The paper presents results of an analysis of interturn fault effects on the voltage and current waveforms of a capacitor discharge through transformer windings. The research was conducted in the frame of the Facility of Antiproton and Ion Research project which goal is to build a new international accelerator facility that utilizes superconducting magnets. For the sake of electrical quality assurance of the superconducting magnet circuits, a measurement and diagnostic system is currently under development at Gdansk University of Technology (GUT). Appropriate measurements and simulations of the special transformer system were performed to verify the proposed diagnostic method. In order to take into account the nonlinearity and hysteresis of the magnetic yoke, a novel mathematical model of the transformer was developed. A special test bench was constructed to emulate the inter-turn faults within transformer windings.

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“…The matrix of leakage inductances of the considered transformer was defined by Wilk (Wilk and Pokonski, 2011) for which the numerical values given in Henrys are: L s;1;1 L s;1;2 L s;1;3 L s;1;4 L s;1;5 L s;2;1 L s;2;2 L s;2;3 L s;2;4 L s;2;5 L s;3;1 L s;3;2 L s;3;3 L s;3;4 L s;3;5 L s;4;1 L s;4;2 L s;4;3 L s;4;4 L s;4;5 L s;5;1 L s;5;2 L s;5;3 L s;5;4 L s;5;5 The resistances of the considered transformer are as follows (given in Ohms): R 1 ¼ 0.347; R 2 ¼ 0.347; R 3 ¼ 0.201; R 4 ¼ 0.201; R 5 ¼ 5.490. The procedure for the determination the value of R 5 was reported in Wilk et al (2014). In this model the relationship Φ c (Θ) that accounts nonlinear magnetic properties of iron core and hysteresis effect given by Equations (6) In other to compare the simulation and experimental results the waveforms i o,0,sim (simulation) and i o,0,meas (measurement) are plotted in Figure 12 and the waveforms i o,2,sim (simulation), i o,2,meas (measurement) are plotted in Figure 13.…”

Section: Magnetic Hysteresismentioning

confidence: 99%

Representation of magnetic hysteresis in a circuit model of a single-phase transformer

Wilk

2015

COMPEL

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Purpose -The paper presents a mathematical model for the hysteresis phenomenon in a multi-winding single-phase core type transformer. The set of loop differential equations was developed for Kth winding transformer model where the flux linkages of each winding includes a flux common Φ to all windings as function of magneto motive force Θ of all windings. The purpose of this paper is to first determine a hysteresis nonlinearity involved in Φ(Θ) function using modified Preisach theory and second to develop new analytical formula of Preisach distribution function (PDF). Design/methodology/approach -It is assumed in this paper that flux linkage characteristics Ψ(i) of each winding have nonlinear component due to the magnetization characteristic of the steel core and sum of linear components due to the self and mutual leakage fluxes. This nonlinear component of Ψ(i) characteristic can be expressed as a flux common Φ to all windings vs ampere-turns Θ of all windings. The nonlinear flux linkage characteristics Ψ(i) of the tested transformer are calculated from the set of measured terminal voltages and terminal currents. To simulate magnetic behavior of the iron core the feedback scalar Preisach model of hysteresis is proposed which gives more accurate predictions than classical model. For this hysteresis model the PDF and feedback function are needed. The intend of this paper is to find these function as an analytical formulas which are convenient for numerical simulations. For identification of the PDF and feedback function parameters of the considered iron core of tested transformer the Levenberg-Marquardt optimization algorithm was used. Findings -The flux common to all windings is calculated by integrating the induced voltages of the appropriate windings. In this paper the PDF is proposed as a functional series including two dimensional Gauss expressions. In order to proper approximation of hysteresis nonlinearity of the tested iron core the first three terms of functional series of the PDF have been used. In the optimization algorithm only initial and descending limiting hysteresis curves Φ(Θ) were utilized. The feedback function for proposed hysteresis model is assumed as third-order polynomial. The hysteresis model has been successfully validated by comparing the calculated and measured results of Φ(Θ) hysteresis curves. This hysteresis model can be used in transient and steady state simulations of tested transformer taking into account the hysteresis phenomenon. The developed hysteresis model can be also used for analysis of the influence of remnant flux on the operation of tested transformer especially in transient states. Originality/value -In this paper the feedback Preisach hysteresis model is involved in the flux common to all windings vs ampere-turns of all windings. The new PDF is proposed as functional series including two dimensional Gauss expressions. For tested transformer the three first terms of this functional series may be used for proper approximation of hysteresis nonlinearities.

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Simulation of the remanence influence on the transient states of the single-phase transformer including feedback Preisach model

Cited by 7 publications

References 18 publications

Simulation of the remanence influence on the transient states in a single-phase multiwinding transformer

Simulation of the remanence influence on the transient states in a single-phase multiwinding transformer

Detection of inter-turn faults in transformer winding using the capacitor discharge method

Representation of magnetic hysteresis in a circuit model of a single-phase transformer

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