Direct calculation of the stability domains of three-phase ferroresonance in isolated neutral networks with grounded neutral voltage transformers

Janssens, N.; Craenenbroeck, Thierry Van; Dommelen, Daniel Van; Meulebroeke, F. Van De

doi:10.1109/61.517515

Cited by 28 publications

(10 citation statements)

References 1 publication

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“…Using this method, some restrictive assumptions are usually necessary, such as the sinusoidal time variation of the flux linkage. In recent years, this method has been used widely to investigate the global behavior of a ferroresonance circuit [6,23] and stability domain analysis [9][10][11]. In this article, a one-term harmonic balance method [6,23] is used to map the stability domain of a period-1 ferroresonance circuit, while core losses of the transformer have been assumed to be non-linear.…”

Section: Harmonic Balance Methodsmentioning

confidence: 99%

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Harmonic Balance Based Stability Domain Analysis of Period-1 Ferroresonance

Moradi

Gholami

2011

Electric Power Components and Systems

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In an attempt to find regions at risk of ferroresonance, different timedomain simulations and analytical approaches were investigated on a one-phase laboratory transformer. A 2D bifurcation diagram based on a one-term harmonic balance method has been developed. It was shown that increase of core losses during over-voltages significantly affects the stability domain of period-1 ferroresonance. Time-domain simulations show that a static core loss model as a function of the maximum flux of the transformer predicts the second bifurcation point with enough accuracy. This modeling approach was incorporated in harmonic balance analysis. A comparison has been made between analysis and measurements.

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Section: Harmonic Balance Methodsmentioning

confidence: 99%

“…This approach is straightforward but has some drawbacks [9]. Two other methods are based on the harmonic balance method [9][10][11] and on the principle of bifurcation theory and continuation technique [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Harmonic Balance Based Stability Domain Analysis of Period-1 Ferroresonance

Moradi

Gholami

2011

Electric Power Components and Systems

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“…The magnetization is usually described by a single-valued function of applied magnetic field through linear, piecewise-linear, polynomial or trigonometric functions [4]- [13]. Using such functions, it is possible to apply analytical methods such as harmonic balance to obtain amplitudes and regions of stability of certain types of solutions for ferroresonance [14], [15].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Ferroresonance Modes in Power Transformers Using Preisach-Type Hysteretic Magnetizing Inductance

Rezaei-Zare

Sanaye‐Pasand

Mohseni

et al. 2007

IEEE Trans. Power Delivery

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The magnetic hysteresis phenomenon plays an important role in the ferroresonance behavior of a transformer. However, most existing transformer models for the analysis of the ferroresonance phenomenon either ignore the hysteresis effects or represent it based on the hysteresis major loop and scale it for lower current levels. Such a modeling approach does not reflect the actual physical behavior of the magnetic core with respect to the ferroresonance phenomenon. This paper, based on Preisach theory, introduces an accurate model of hysteretic inductor to represent a single-phase transformer for the investigation of the ferroresonance phenomenon. Based on the developed model, time-domain simulation studies show that even in the case of a single-phase transformer where no magnetic coupling exists between the three-phases, all known types of ferroresonance, including fundamental, sub-harmonic, quasi-periodic and chaotic modes, may occur. The effects of hysteresis and its initial conditions, grading capacitors and transformer winding capacitance on occurrence of ferroresonance and its change of mode are also discussed.

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“…The patterns of oscillations generated in three-phase circuits are classified into the following three types [15,17,18,21,22] based on the number of related inductors: Type 1: Oscillations mainly excited by any one of the three inductors. The current flows dominantly through only one inductor and the three-phase circuit operates as if it were a single-phase circuit.…”

Section: Typical Oscillations In Three-phase Circuitmentioning

confidence: 99%

“…Subsequent research from the bifurcation theoretic framework was reported in [3,[9][10][11][12][13]. Another approach to ferroresonance in power systems is oscillation patterns in the structure of three-phase circuits [14][15][16][17][18]. The word "pattern" means types of oscillations based on the structural symmetry of the three-phase circuit [19,20].…”

Section: Introductionmentioning

confidence: 99%

Typical patterns of oscillations in three-phase circuit

Hisakado

Ukai

2011

NOLTA

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Symmetrical three-phase circuits are fundamental models of power systems. Although the circuits have structural symmetry, asymmetric patterns of oscillations have been observed in real power systems. This paper describes an approach to understanding typical patterns of oscillations in the three-phase circuits using symmetry. In order to figure out oscillation patterns, we introduce a three LC ladder circuit which has a higher symmetry than the three-phase circuit. Using only the symmetries of the three LC ladder circuit, we classify periodic oscillations and construct a lattice of those modes. Further, extending the method to almost periodic oscillations, we decompose and characterize typical almost periodic oscillations by their symmetry. Finally, by observing a global phase space in the three LC ladder circuit, we confirm typical oscillations in the three-phase circuit.

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Direct calculation of the stability domains of three-phase ferroresonance in isolated neutral networks with grounded neutral voltage transformers

Cited by 28 publications

References 1 publication

Harmonic Balance Based Stability Domain Analysis of Period-1 Ferroresonance

Harmonic Balance Based Stability Domain Analysis of Period-1 Ferroresonance

Analysis of Ferroresonance Modes in Power Transformers Using Preisach-Type Hysteretic Magnetizing Inductance

Typical patterns of oscillations in three-phase circuit

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