A Methodology for Calculating the R-L Parameters of a Nonlinear Hysteretic Inductor Model in the Time Domain

Divac, Srdan; Rosić, Marko; Żurek, S.; Koprivica, Branko; Chwastek, Krzysztof; Vesković, Milan

doi:10.3390/en16135167

Cited by 3 publications

(3 citation statements)

References 24 publications

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“…The obtained final hysteresis loops are presented against the background of a family of changing minor loops [22] during the formation of the steady state (decaying inrush transient state). The hysteresis evolution, presented from the very instant (Figure 10) when the voltage is applied to the windings up to achieving the quasi-steady state (Figure 11), shows the size and directions of changes taking place in the transformer's given column during the transient introduced by transformer start-up in specific conditions (pre-magnetization of the core and settled value of initial phase angle in reference voltage) [14,31].…”

Section: Dynamic Measurements Of the Dy11 Transformer Switched On In ...mentioning

confidence: 99%

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Practical Experiments with a Ready-Made Strategy for Energizing a Suitable Pre-Magnetized Three-Column Three-Phase Dy Transformer in Unloaded State for Inrush Current Computations

Łukaniszyn,

Majka,

Baron

et al. 2024

Energies

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This article presents the results of an experimental verification of three-phase Dy transformer dynamics under no-load conditions. This study is motivated by previous ferroresonance analyses where the occurrence of inrush currents has been observed. The measurements covered all available electrical quantities in a transient state (12 measured and 3 additionally computed waveforms) during the device’s start-up under no-load conditions, as well as in a long-term steady state. A detailed analytical analysis is carried out for the obtained comprehensive set of measurement results. As a result of the conducted research, the mathematical model of the pre-magnetized three-phase Dy transformer is modified. Particular attention is paid to the issue of residual magnetism of the transformer core and its consideration in further research. The original strategy for energizing a three-column three-phase Dy transformer with a suitable pre-magnetization of its columns and original control switching system with a given/set value of the initial phase in the supply voltage is put to the test. The evolution of the induced inrush phenomenon up to the quasi-steady state under given (forced) conditions is documented (currents, voltages and the dynamics of changes taking place in the core (hysteresis loops)). This article represents a continuation of ongoing work on the study of transient states (dynamics of transformer inrush currents). At present, the Dy three-phase transformer is analyzed because of the requirements of industrial operators.

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Section: Dynamic Measurements Of the Dy11 Transformer Switched On In ...mentioning

confidence: 99%

“…However, before the three-column three-phase Dy transformer selected for testing is subjected to measurement verification (relative to the developed methodology), it must undergo a complete inspection [8,14].…”

Section: Introductionmentioning

confidence: 99%

Practical Experiments with a Ready-Made Strategy for Energizing a Suitable Pre-Magnetized Three-Column Three-Phase Dy Transformer in Unloaded State for Inrush Current Computations

Łukaniszyn,

Majka,

Baron

et al. 2024

Energies

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“…By adopting the Euler-Lagrange formalism, a nonlinear model for a buck-boost DC-DC power converter was proposed, which can regulate the output voltage effectively [16]. Paper [17] analyzed the instantaneous magnetization power calculated from the inductor hysteresis loop, divided the instantaneous magnetization power into oscillating and absorbing parts and calculated the R-L parameters of the nonlinear hysteresis inductor model. In addition, a nonlinear inductive power transfer system with magnetically saturated inductors was proposed in [18] to obtain a stable output voltage independent of coupling coefficients and load variations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Modeling and Control Strategy Based on Type-II T-S Fuzzy in Bi-Directional DC-AC Converter

Chen,

Huang,

Lin

et al. 2024

Electronics

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Bi-directional DC-AC converters are widely used in the field of electric vehicle-to-grid. However, the inductance of the grid-side interface filter is affected by the length of the grid connection and the power level, which presents nonlinear characteristics. This poses challenges for high-performance grid waveform control. In this paper, a modeling method for bi-directional DC-AC grid-connected converters based on type-II T-S fuzzy models is proposed, and the corresponding type-II T-S fuzzy control strategy is designed to address the parameter uncertainty and non-linearity issues. Simulation results show that type-II T-S fuzzy control offers superior control performance and better current waveform quality compared to type-I T-S fuzzy control under uncertainty parameter conditions. The effectiveness of the proposed strategy is further validated through a 1 kW prototype of a bi-directional DC-AC converter.

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Solving dynamic electric circuit with nonlinear hysteretic inductor using harmonics interpolation method

Divac,

Koprivica

2024

Circuit Theory & Apps

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SummaryThe aim of this paper is to present a methodology for solving а dynamic electric circuit with nonlinear hysteretic inductor without the use of hysteresis model or equivalent circuits. A consideration of nonlinear and hysteretic behaviour of the magnetic core under quasistatic conditions is based on applying harmonics interpolation method (HIM) to the measured magnetising field strength waveforms. A dynamic behaviour of the magnetic core is considered through the application of the statistical theory of losses (STL). A considered electric circuit consists of AC voltage source connected in series with shunt resistor, additional linear resistor and inductor, as well as a nonlinear hysteretic inductor. The solution for electric current of the circuit is obtained by solving equation derived from Kirchhoff's laws through a series of successive iterations. Coupling of electric and magnetic part of the circuit is obtained from fundamental laws of electromagnetism. Methodology is validated for four cases of the considered electric circuit — without additional elements, with one additional or both additional elements, for sinusoidal voltage source amplitudes of 2, 4, 6, 8 and 9 V and frequency of 50 Hz. Validation is repeated for frequencies of 100, 200 and 300 Hz while keeping the ratio of the amplitude to frequency constant. Detailed theoretical approach and methodology, comparisons between measured and calculated results, as well as adequate discussion are presented.

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A Methodology for Calculating the R-L Parameters of a Nonlinear Hysteretic Inductor Model in the Time Domain

Cited by 3 publications

References 24 publications

Practical Experiments with a Ready-Made Strategy for Energizing a Suitable Pre-Magnetized Three-Column Three-Phase Dy Transformer in Unloaded State for Inrush Current Computations

Practical Experiments with a Ready-Made Strategy for Energizing a Suitable Pre-Magnetized Three-Column Three-Phase Dy Transformer in Unloaded State for Inrush Current Computations

Nonlinear Modeling and Control Strategy Based on Type-II T-S Fuzzy in Bi-Directional DC-AC Converter

Solving dynamic electric circuit with nonlinear hysteretic inductor using harmonics interpolation method

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