Modeling devices with nonlinear Voltage-current Characteristics for harmonic studies

Chang, G.W.; Hatziadoniu, Constantine J.; Xu, Wenyuan; Ribeiro, Paulo F.; Burch, Reuben F.; Grady, W.M.; Halpin, Mark; Liu, Y.; Ranade, Satish J.; Ruthman, D.; Watson, N.R.; Ortmeyer, T.H.; Wikston, J.; Medína, A.; Testa, A.; Gardinier, R. E.; Dinavahi, Venkata; Acram, F.; Lehn, Peter W.

doi:10.1109/tpwrd.2004.835429

Cited by 72 publications

(23 citation statements)

References 72 publications

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“…When the arc is long, the cooling area is its lateral surface, in this case nf = 1. When the arc is short, the cooling is proportional to cross-section arc at the electrodes, then nf = 2 [41,43]. P 2 is proportional to the derivative of the electric arc energy; this energy is proportional to the square of the EAF radius, The arc column resistivity is inversely proportional to r mf eaf , where mf = 0…2, to consider that the electric arc may be hotter in the interior if it has a larger radius [44].…”

Section: Of 22mentioning

confidence: 99%

Time-domain harmonic state estimation of nonlinear load power systems with under-determined condition based on the extended Kalman filter

Cisneros-Magana

Medína

Anaya‐Lara

2016

Int. Trans. Electr. Energ. Syst.

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This contribution presents a time-domain methodology for harmonic state estimation of power systems with nonlinear loads based on the extended Kalman filter (EKF). The output variables measurements to be used in the state estimation algorithm are selected from the simulation of the propagated harmonics in the system with an under-determined condition of the measurement matrix. The state estimation results are compared against the actual time-domain system response; both results closely agree hence verifying the effectiveness of the EKF to solve the time-domain power system state estimation. Several sampling frequencies and measurement noise are applied to assess the effects on the state estimation process, the error covariance matrix, residuals and on the execution tim

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Section: Of 22mentioning

confidence: 99%

Time-domain harmonic state estimation of nonlinear load power systems with under-determined condition based on the extended Kalman filter

Cisneros-Magana

Medína

Anaya‐Lara

2016

Int. Trans. Electr. Energ. Syst.

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“…4) There is the possibility of observations in the form of vector where (6) indicating the probability of each of the observed symbols in state .…”

Section: )mentioning

confidence: 99%

“…Harmonic voltage source method [5], [6] is based on the harmonic study of a certain kind of arc voltage waveform. The problem is that under this voltage waveform, the arc furnace system does not operate at the maximum power transfer condition.…”

mentioning

confidence: 99%

A New Stochastic Model of Electric Arc Furnace Based on Hidden Markov Model: A Study of Its Effects on the Power System

Esfahani

Vahidi

2012

IEEE Trans. Power Delivery

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Electric arc furnaces (EAFs) are nonlinear and timevariant loads that cause severe fluctuations of current, voltage, and current harmonics, voltage flicker, frequency changes, etc. The requirement is to present an accurate model to analyze the function of these types of loads. In this paper, a new model based on hidden Markov model theory is presented for an electric arc. For this purpose, the characteristic of the arc voltage-current is divided into four regions. Then, on the basis of actual measured samples of an electric arc in several functioning cycles of EAF, different operating points are generated in the form of statistical probability, corresponding to hidden Markov theory in the aforementioned four regions. The arc model is designed in the form of a current-dependent voltage source. Therefore, the proposed model is without linear approximation and corresponds to the actual state. Also, in order to be accurate in flicker modeling, a voltage is randomly considered for the arc model. After designing the aforementioned model, the effects resulting from this electric load in the power system are studied and analyzed. The simulation results are compared with the measured arc to show the accuracy and soundness of the model. Index Terms-Electric arc furnace (EAF), flicker, hidden Markov model (HMM), power quality (PQ).

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“…8,9 In this regard, numerous models have been developed for the EAF. [10][11][12][13][14][15][16][17][18] Some of these models have been developed using the voltage-current characteristics (VIC). [10][11][12][13] These models such as hyperbolic and complete exponential models 12 are simple, and a certain operating condition can be studied by using them.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, an analytical method is presented to solve power balance equation. 15,21 The solution states the relation between the EAF current and voltage, accurately. Moreover, it explains the dependency on the EAF behavior to the electrical arc parameters.…”

Section: Introductionmentioning

confidence: 99%

Parameters estimation of electric arc furnace based on an analytical solution of power balance equation

Alkaran

Vatani

Sanjari

et al. 2016

Int. Trans. Electr. Energ. Syst.

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Summary A closed‐form solution for power balance equation of electric arc furnace (EAF) is proposed in this paper based on field measurements of the instantaneous furnace voltage and current. The method is developed based on an analytical solution of power balance equation in general case. The closed‐form solution is dependent on the EAF parameters, which should be found by parameter identification procedure carrying out by minimization of an appropriate objective function. The minimization is performed by means of a calculus‐based optimization method, namely, interior‐point method. The validity of the proposed method is verified by comparing its results with those of the field measurements. The results show quite satisfactory correlation between the proposed method and the actual EAF operation.

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Modeling devices with nonlinear Voltage-current Characteristics for harmonic studies

Cited by 72 publications

References 72 publications

Time-domain harmonic state estimation of nonlinear load power systems with under-determined condition based on the extended Kalman filter

Time-domain harmonic state estimation of nonlinear load power systems with under-determined condition based on the extended Kalman filter

A New Stochastic Model of Electric Arc Furnace Based on Hidden Markov Model: A Study of Its Effects on the Power System

Parameters estimation of electric arc furnace based on an analytical solution of power balance equation

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