A Correlation Method for Detection of Partial Discharges in Transformers

Jayalalitha, S.; Jayashankar, V.

doi:10.1109/tpwrd.2005.852340

Cited by 21 publications

(9 citation statements)

References 6 publications

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“…Figure 4 shows the simulated and estimated voltage at node 5 using (12) for source applied to the input terminal. In all the cases, a constant excitation source of 1 V AC is applied and frequency is swept from 1 Hz to 300 KHz with the frequency resolution of 3 Hz collecting about 100 K sample.…”

Section: Validation Of the Analytical Expressionsmentioning

confidence: 99%

“…8 Apart from the mentioned theoretical literature, some experimental study with resistive circuit has been conducted in Denardo et al, 5 which found that with the addition of loops in the circuit, there is a rapid exponential convergence of the input resistance to the golden ratio. To models these windings, different equivalent networks are used, such as ladder networks, 12,13 Multi-Conductor Transmission Line (MTL), 14 and hybrid. 9 The pioneer works in the field of the infinite resistive network have been done by Zemanian.…”

Section: Introductionmentioning

confidence: 99%

“…The series capacitance of interleaved windings is quite higher than that of the continuous or layer windings. To models these windings, different equivalent networks are used, such as ladder networks, 12,13 Multi-Conductor Transmission Line (MTL), 14 and hybrid. 15 These models operate in different frequency ranges.…”

Section: Introductionmentioning

confidence: 99%

“…Among the available models, ladder networks have been proven advantageous as being less computationally intensive; hence, it has been accepted worldwide. The ladder networks have been widely applied to numerous studies of transformer, such as lightning impulse test, 16 transfer function, 17,18 sweep frequency response analysis, 19,20 partial discharge, 12,13 mechanical damage and deformation diagnostics, [21][22][23] fault localization, 24 and circuit synthesis. 25,26 These studies require to solve numerous circuit equations (KVL and KCL), and as the number of stages in the ladder network increases, the number of equations also increases.…”

Section: Introductionmentioning

confidence: 99%

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Generalized analytical formulae to compute electrical characteristics of a homogenous ladder network of the transformer winding

Mondal

Kumbhar

2018

Circuit Theory & Apps

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Many electrical systems are expressed as a complex ladder network consisting of combinations of resistances, inductances, and capacitances. Computation of electrical characteristics, such as voltages, currents, and equivalent impedances of these ladder networks require the solution of complicated differential-algebraic equations that are quite tedious and cumbersome. The earlier works have given particular attention to purely resistive ladder networks ignoring the inductance and capacitance parameters. Moreover, there are no direct expressions available to quickly compute these characteristics. This paper derives generalized analytical expressions that can be directly used to obtain the electrical characteristics of a finite as well as semi-infinite homogenous ladder network by simply plugging the values of its constituent parameters. Expressions are deduced for excitation source applied to the input terminal and across 2 arbitrary nodes, respectively. Kirchhoff mesh and node laws along with ordinary algebra and trigonometric theorems are applied to derive these expressions. Boundary-value technique is used to circuit equations to determine unknown coefficients of the expressions. The derivation given in these paper would surely help the readers to quickly compute the electrical characteristics without solving recursive circuit equations and avoiding complex state-space matrices. KEYWORDS difference equation, electrical characteristics, ladder network, transformer winding, winding response Int J Circ Theor Appl. 2018;46:911-925.wileyonlinelibrary.com/journal/cta

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Section: Validation Of the Analytical Expressionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generalized analytical formulae to compute electrical characteristics of a homogenous ladder network of the transformer winding

Mondal

Kumbhar

2018

Circuit Theory & Apps

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“…Granger causality analysis is a statistical hypothesis test to calculate whether one time series of data is useful in forecasting another data and it finds only "predictive causality" [20] than other linear methods [21][22][23][24]. Granger causality analysis is based on multiple regression analysis.…”

Section: Principle Of Granger Causality Analysis For Impulse Fault Dementioning

confidence: 99%

Prediction of winding faults between non-stationary signals: Granger causality analysis for lightning impulse testing of transformers

Velandy¹,

Mishra

2015

Int. Trans. Electr. Energ. Syst.

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Summary One of the important research areas in transient phenomena is sensitive recognition of fault in the complicated insulation system of transformer to make a decision about either go (acceptance) or no‐go criterion after impulse test at factory. The existing methods are, in principle, able to indicate the delay in coupling between the signals, but inferring causality from the time delay is not always straightforward. In this paper, the time delay between simultaneously measured signals is calculated and further extended to identify the impulse fault in transformers using Granger causality analysis. The principle of Bayesian information criterion is used in Granger causality analysis to estimate the minimum number of lags. Granger causality analysis enables the calculation of neutral current signal for any input excitation of full wave and chopped wave impulse for typical power transformers. The experimental studies are performed on 60/90 MVA (132/33 kV) and 150/200/250 MVA (500/275/33 kV) transformers to prove the feasibility of the analysis. Copyright © 2015 John Wiley & Sons, Ltd.

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Analytical formulas for calculating the electrical characteristics of multiparameter arbitrary configurational homogenous ladder networks

Prasanna

Mondal

2023

Circuit Theory & Apps

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Summary Most electrical systems are represented as ladder networks made up of resistances, inductances and capacitances. Electrical characteristics of these networks, such as voltages, currents and equivalent impedance, are difficult to compute because they require solving multiple differential‐algebraic equations. Further, circuit simulator‐based modelling is a time‐consuming and tedious process for simulating large networks with multiparameters present in various configuration. This paper presents generalised analytical formulae for computing the electrical properties of any multiparameter arbitrary section homogenous ladder network that can be reduced to series and shunt impedances. Circuit principles, chain matrix decomposition and linear transformation are used to derive the symbolic expressions. Simply plugging the values of the series and shunt impedances, as well as the number of sections, into the derived expression yields the impedance. Thereafter, the calculated impedances can be used to calculate the nodal voltages and mesh currents. Simulation results of a six‐section homogeneous ladder network are presented and compared with those of other existing techniques to validate the derived expressions. The derived expressions eliminate the need for recursive relations, complex integro‐differential equations, large state‐space matrices and simulator‐based circuit modelling, which are all clearly advantageous.

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A Correlation Method for Detection of Partial Discharges in Transformers

Abstract: A correlation method is proposed for the location of partial discharge within a winding. Theoretical simulations and experimental results on a lumped parameter model of a winding are shown to prove the feasibility of the method.

Cited by 21 publications

References 6 publications

Generalized analytical formulae to compute electrical characteristics of a homogenous ladder network of the transformer winding

Generalized analytical formulae to compute electrical characteristics of a homogenous ladder network of the transformer winding

Prediction of winding faults between non-stationary signals: Granger causality analysis for lightning impulse testing of transformers

Analytical formulas for calculating the electrical characteristics of multiparameter arbitrary configurational homogenous ladder networks

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