Approximate Mathematical Expressions for Nonlinear Resistive Properties of Zinc Oxide Elements

Tanaka, Tokuya; Tsuge, R.; Baba, Yoshihiro; Tsujimoto, Yoshimasa; Tsukamoto, Naoyuki

doi:10.1109/temc.2019.2951154

Cited by 3 publications

(4 citation statements)

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“…Figure 1(b) shows the characteristic of the electric field versus current density, obtained from Fig. 1(a), and its approximate characteristic drawn with the following expression [7,8].

\log E = c_{0} + c_{1} false(\log J false) + c_{2} {(\log J)}^{2} + c_{3} {(\log J)}^{3}

where c 0 , c 1 , c 2 , and c 3 are adjustable constants.…”

Section: Methodsmentioning

confidence: 99%

“…1 in Ref. [8]. Figure 1(b) shows the characteristic of the electric field versus current density, obtained from Fig.…”

Section: Nonlinear Characteristic Of Mov Materialsmentioning

confidence: 99%

“…Figure 1(b) shows the characteristic of the electric field versus current density, obtained from Fig. 1(a), and its approximate characteristic drawn with the following expression [7,8].…”

Section: Nonlinear Characteristic Of Mov Materialsmentioning

confidence: 99%

“…The power per cell is a Correspondence to: Yoshihiro Baba. E-mail: ybaba@mail.doshisha.ac.jp *Doshisha University, Kyotanabe Kyoto, 610-0394, Japan **Otowa Electric Co., ltd., Hyogo, 661-0976, Japan computed from the instantaneous values of injected current density and resultant electric field, the latter of which is obtained with the approximate mathematical expression of the nonlinear relation between conduction current density and electric field [7,8]. Since no numerical computation method for solving Maxwell's equations is used to find the transient current distribution in the MOV, the present computation is efficient in comparison with those of [2,3].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Simplified Thermal Computation of a Metal Oxide Varistor Element under a Lightning Impulse Current Injection

Tanaka

Baba

Tsujimoto³

et al. 2021

IEEJ Transactions Elec Engng

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A simple thermal computation procedure of a metal oxide varistor (MOV) element, in which an impulse current is injected, is presented. The heat in the MOV, composed of many small cells, is computed with the discretized heat transport equation. At each time step, the injected impulse current is assumed to be distributed uniformly in the MOV. The power per cell is computed from the instantaneous values of injected conduction current density and resultant electric field, the latter of which is obtained with an approximate expression of the nonlinear relation between conduction current density and electric field. © 2021 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

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“…Figure 1(b) shows the characteristic of the electric field versus current density, obtained from Fig. 1(a), and its approximate characteristic drawn with the following expression [7,8].

\log E = c_{0} + c_{1} false(\log J false) + c_{2} {(\log J)}^{2} + c_{3} {(\log J)}^{3}

where c 0 , c 1 , c 2 , and c 3 are adjustable constants.…”

Section: Methodsmentioning

confidence: 99%

“…1 in Ref. [8]. Figure 1(b) shows the characteristic of the electric field versus current density, obtained from Fig.…”

Section: Nonlinear Characteristic Of Mov Materialsmentioning

confidence: 99%

“…Figure 1(b) shows the characteristic of the electric field versus current density, obtained from Fig. 1(a), and its approximate characteristic drawn with the following expression [7,8].…”

Section: Nonlinear Characteristic Of Mov Materialsmentioning

confidence: 99%