Investigation of subharmonic ferroresonant oscillations in power systems

Preetham, K.S.; Saravanaselvan, R.; Ramanujam, R.

doi:10.1016/j.epsr.2005.11.005

Cited by 10 publications

(11 citation statements)

References 9 publications

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“…In this article, based on the combination of methods developed in [13] and [14], a one-dimensional bifurcation diagram has been developed. The impact of core loss non-linearity on ferroresonance behavior has been investigated by a developed two-dimensional bifurcation diagram.…”

Section: Analytical Solutionmentioning

confidence: 99%

“…The equivalent circuit for ferroresonance investigation is adopted from [9,13] and shown in Figure 1. This Thevenin equivalent circuit belongs to a ferroresonance that occurred on the 1100-kV system of Bonneville Power Administration [15].…”

Section: System Description and Modelingmentioning

confidence: 99%

“…(2), which match the non-linear characteristics of the core losses of the transformer. This core loss model has been adopted from [9,13]:…”

Section: System Description and Modelingmentioning

confidence: 99%

“…Effect of the core loss non-linearity on the chaotic behavior was also studied in [9]. Some authors used a dynamic core loss model as a function of voltage [9][10][11][12][13]. An algorithm for calculating core losses from no-load characteristics was given in [12].…”

Section: Introductionmentioning

confidence: 99%

“…In this article, based on methods developed in [13] and [14], a one-dimensional bifurcation diagram was developed. Also, a two-dimensional bifurcation diagram based on non-linear dynamics was developed and utilized to study the impact of core loss nonlinearity on ferroresonance behavior in a ferroresonance circuit of a high-voltage power transformer, studied widely in the literature.…”

Section: Introductionmentioning

confidence: 99%

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Impact of Core Loss Non-linearity on Stability Domain of Ferroresonance

Moradi

Gholami

2010

Electric Power Components and Systems

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Iron losses strongly influence ferroresonance behavior of power transformers. While a jump-up is the characteristic of the non-linear magnetizing branch, the jump-down phenomenon can only be described when losses or loads are considered. In this article, the impact of core losses (constant resistance or non-linear resistancce) on the turning points of the bifurcation diagram of a ferroresonance circuit is investigated by a developed 2-D bifurcation diagram. The sensitivity of solutions with respect to the circuit parameters are analyzed and discussed. It is shown that the left-side turning point is more affected by the non-linear core loss model than the right side is. Based on the developed method, an operational guideline for the range of values of the load that avoids the jump between steady-state solutions and ferroresonance overvoltages with different source voltage amplitudes is provided. The results obtained by analytical approach are compared with time domain simulations.

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Section: Analytical Solutionmentioning

confidence: 99%

Section: System Description and Modelingmentioning

confidence: 99%

“…(2), which match the non-linear characteristics of the core losses of the transformer. This core loss model has been adopted from [9,13]:…”

Section: System Description and Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Impact of Core Loss Non-linearity on Stability Domain of Ferroresonance

Moradi

Gholami

2010

Electric Power Components and Systems

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Detection and analysis of isolated subharmonic ferroresonant solutions in power transformers

Saravanaselvan

Ramanujam

2010

Euro. Trans. Electr. Power

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Ferroresonance is characterised by the existence of multiple periodic and non periodic steady states. Depending upon the initial condition the response of a ferroresonant circuit may settle to any one of the following: fundamental, subharmonic, quasi-periodic or chaotic. This paper is concerned with the isolated subharmonic ferroresonant solutions. The initial conditions are obtained by a class of temporal methods and it is referred to here as 'temporal bifurcation diagram' approach. Starting with initial conditions provided by temporal bifurcation diagram, a continuation procedure predicts multiple subharmonic solutions. Analysis of isolated subharmonic solutions reveals that in general they form a closed loop. Further, odd symmetric subharmonic solutions give rise to pitchfork bifurcations. The paper also reports the effect of core loss nonlinearity and transformer saturation on the isolated subharmonic solutions.

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Study of the periodic ferroresonance in the electrical power networks by bifurcation diagrams

Amar¹,

Dhifaoui

2011

International Journal of Electrical Power & Energy Systems

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Investigation of subharmonic ferroresonant oscillations in power systems

Cited by 10 publications

References 9 publications

Impact of Core Loss Non-linearity on Stability Domain of Ferroresonance

Impact of Core Loss Non-linearity on Stability Domain of Ferroresonance

Detection and analysis of isolated subharmonic ferroresonant solutions in power transformers

Study of the periodic ferroresonance in the electrical power networks by bifurcation diagrams

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