Break down voltage of electrode arrangements in vacuum in consideration of surface area

Schumann, U.; Kurrat, Michael

doi:10.1109/isdeiv.2002.1027408

Cited by 6 publications

(5 citation statements)

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“…Based on the previous experimental work [1]- [5], the breakdown voltage is proportional to the gap distance and conductivity while inverse proportional to the solar radiation and effective area of the electrodes. So, those factors that are present as a 2 = 1, a 3 = -1, a 4 = -1, a 5 = 1.…”

Section: Mathematical Modellingmentioning

confidence: 96%

“…In breakdown voltage's (V b ) characteristics, there are some relationships with the several dominant physical and environmental parameters which are identified based on investigating experimental. The parameters are electrode gap length (d) [1], [5], [8], solar radiation (S) [1], effective area (A eff ) [1], [5], conductivity (C) [9], pressure (p) [1], [2], humidity (h) [1], [2], [8], number of electrons (N e ) [1] and surface roughness (R a ) [1], [3], [4]. Each parameter have its own fundamental dimension and represented by M, L, T and Q which is mass, length, time and charge respectively.…”

Section: Mathematical Modellingmentioning

confidence: 99%

“…However, there are some limitations in explaining several parameters when considering environmental conditions and physical factors that affected breakdown voltage [1]- [5]. In this paper, Dimensional Analysis (DA) has been applied to develop a mathematical equation that relates all the parameters together.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of Mathematical Equation for Determining Breakdown Voltage

Laili

Yusof

Zakaria

et al. 2013

2013 1st International Conference on Artificial Intelligence, Modelling and Simulation

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Breakdown voltage in gases is determined in different various electrodes gaps and geometries. There is a mathematical equation had been developed throughout experimental work, but when considering the physical and environmental factor such as humidity, temperature and pressure, the mathematical equation is limited to express the breakdown voltage. Taking into account this problem, Dimensional Analysis (DA) is used to show the relationship between the factors such as physical parameter and environmental condition that contribute to the breakdown voltage. The mathematical equation has been developed from a set of variables into a set of dimensionless product which provide relationship between the parameters. The mathematical equation model is then used to study the characteristics of breakdown voltage. In order to validate and finalize the developed equation, simulations have been conducted using the experimental data from the previous works. Comparative study between previous experimental works with simulation results have been done as the results are almost similar.

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Section: Mathematical Modellingmentioning

confidence: 96%

Section: Mathematical Modellingmentioning

confidence: 99%

See 1 more Smart Citation

Modeling of Mathematical Equation for Determining Breakdown Voltage

Laili

Yusof

Zakaria

et al. 2013

2013 1st International Conference on Artificial Intelligence, Modelling and Simulation

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“…It is nearly indcpendent from the gap distance. Thc rclation betwccn breakdomm voltage and effective area [4] is shown in tigurc 2. Surface condition and gap distancc was constant for a11 elcctrodc arrangcmcnts.…”

Section: Introductionmentioning

confidence: 97%

Influence of shield capacity on the breakdown voltade of vacuum tubes

Schumann

Budde

Kurrat

2004

XXIst International Symposium on Discharges and Electrical Insulation in Vacuum, 2004. Proceedings. ISDEIV.

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With a normal vacuuni switch, shield electrodcs arc built into thc system to control thc electric ficld distribution. The shield electrodes thus represent an additional capacity, which is in parallel to the contact electrodes. The prediction of the high-voltage strength of such electrode arrangements in vacuum is complex. Effects of a wide range of parameters like electrode material_ surface finish: surface area, conditioning state of the surface and the geometry of the electrode arrangement exist. It is well known that the electrode's area influences the dielectric strength in vacuum. With increasing area the dielectric strength decreases, in the opposite direction the capacity of the electrode arrangcmcnt rises. This work shows that shiclds in a vacuum tube which reprcscnt a parallel capacity, do not alter thc brcakdown behaviour during lightning impulsc vol~age o f the contact systcm. Since thc gap distancc of the shields lies clcarly over that of thc contact system, a reduction of the brcakdown voltagc is not to bc cxpcctcd from the inmcasing total surface by the ,,area ctfcct". Thc empirical rclation bctwecn the hrcakdown voltagc and the area of the clcctrodes surfacc can also bc dcscribed as a capacity influence. But thc increasing capacity is not causal for the phenomenon.For this purpose. coplanar electrodes are stressed and conditioned with lightning impulse voltage (1.2ijOps). The test vessel is enabled to pick up more than one pair of electrodes. That makes possible to vary the total capacitance by a second or even third parallel connected pair of electrodes. The results of the measurements are djscussed and compared to the area effect.

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“…Besides the conditions of the electrodes, it is found that the environmental factors affect the value of breakdown voltage as well. Investigation on the influence of electrodes conditions such as electrodes area and arrangements had showed the effect on the characteristics of dielectric breakdown in vacuum gaps [1][2][3]. The dielectric breakdown of air insulating systems is believed to be sensitive to local irregularity of the electric field which may result from the presence of defects such as contaminants adhering to electrode surfaces and surface roughness [4].…”

mentioning

confidence: 99%

Development of mathematical equation for determining breakdown voltage of electrodes gap

Piah

Ping

Buntat

2008

2008 IEEE 2nd International Power and Energy Conference

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Knowledge of spark breakdown for various electrodes gap and geometries is essential when designing gas-insulated high voltage apparatus. Many empirical equations are developed for determining the breakdown voltage through the experimental works, but there are very few mathematical equations to explain the air gap breakdown voltage especially when considering the environmental and physical factors. In this paper, a systematic approached is used to develop a mathematical equation of breakdown voltage for different electrode gaps by using dimensional analysis (DA) technique. DA provides a strategy on restructuring the original dimensional variables of a system into a set of dimensionless products based on the dimensional homogeneity in any relationship between the variables. To verify the model, an experimental work was conducted in order to validate and finalized the developed equation.

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Break down voltage of electrode arrangements in vacuum in consideration of surface area

Cited by 6 publications

References 1 publication

Modeling of Mathematical Equation for Determining Breakdown Voltage

Modeling of Mathematical Equation for Determining Breakdown Voltage

Influence of shield capacity on the breakdown voltade of vacuum tubes

Development of mathematical equation for determining breakdown voltage of electrodes gap

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