Technique for estimating space-charge densities in systems containing air ions

Kaune, William T.; Gillis, Murlin F.; Weigel, R.J.

doi:10.1063/1.331952

Cited by 16 publications

(15 citation statements)

References 11 publications

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“…Hence, the constant dielectric nature of gases together with the well verified mobility hypothesis v = µE (4) enable the equations to be written…”

Section: The Field Equations Of Gaseous Charge Movementsmentioning

confidence: 99%

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Accurate Extraction of Excess Channel Thermal Noise Coefficient in Berkeley Short-Channel Insulated Gate Field-Effect Transistor Model 4

Jeon¹,

Lee²,

Park

et al. 2009

jjap

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This paper considers the fundamentals of the variational approach to the charge-drift equations as part of the generalized field theory of electrical discharges in gases. It is in furtherance of the published theory on charged gaseous flows in which some variational results have been given based on continuity principles. These results were developed as part of the Lagrangian approach to charge drift, which is the equivalent of the more commonly used Eulerian continuity equation. A complete and exhaustive set of optimizing principles, on which finite-element methods can be based, would be of considerable help to any problem solver using Lagrangian methods; and it is with the global search for such expressions that this work is concerned. The author has previously succeeded in showing that solving the governing equations of charge drift is equivalent to finding minimizing electric potentials for certain integrals in which the charge distributions are known. The dual of these principles, in which optimal charge distributions are sought for given potentials, was not given in earlier work as an appropriate integral could not be found. This situation is investigated, and proofs are given of the non-existence (degeneracy) of these dual principles for both single and multiple ionic flows. The work is put into the general context of the search for solutions of ionic flow problems in a gaseous medium and is of particular relevance to corona discharges and their applications, aerial ionization phenomena and gas-insulated systems. It is of decisive importance in revealing the existence or non-existence of full finite-element solutions to charge-drift problems, as it clearly reveals when this method can give results and when not. It further indicates how the finite-element approach can be used jointly with other numerical methods. The paper has other fundamental implications, for it shows whether or not variational proofs can be constructed of major results in the theory of charge drift which have already been derived in the literature by other means.

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“…Hence, the constant dielectric nature of gases together with the well verified mobility hypothesis v = µE (4) enable the equations to be written…”

Section: The Field Equations Of Gaseous Charge Movementsmentioning

confidence: 99%

“…which is the simplest form of the charge-drift equation (see [1][2][3][4][5][6][7][8][9][10][11][12][13]) and this is readily integrated to give…”

Section: The Field Equations Of Gaseous Charge Movementsmentioning

confidence: 99%

Accurate Extraction of Excess Channel Thermal Noise Coefficient in Berkeley Short-Channel Insulated Gate Field-Effect Transistor Model 4

Jeon¹,

Lee²,

Park

et al. 2009

jjap

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“…For example, it can be shown that [21] p(z2)/p(z^) = [l+(p(z^)Kr/£^)]"^, (36) where t is the time -of-flight between points z^and z..…”

Section: Examples Of Trajectories Formentioning

confidence: 99%

“…No corrections of the data have been made for duct losses, which would make the differences between the different flow rates greater than shown in figure 21. The ion density measurement is now very dependent on the external electric field (i.e., reference potential) and flow rate.…”

mentioning

confidence: 99%

Calibration of aspirator-type ion counters and measurement of unipolar charge densities

Misakian¹

1986

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“…where In Eq 14, r 0 = the initial charge density R = the radius of the duct K = the average mobility u = the air velocity A more exact expression for r that is independent of geometry is [41] (15) where t = the time-of-flight between the initial and final points of observation…”

Section: Coulomb Repulsion and Diffusionmentioning

confidence: 99%

IEEE Guide for the Measurement of DC Electric-Field Strength and Ion Related Quantities

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IEEE Std 1227-1990, IEEE Guide for the Measurement of DC Electric-Field Strength and lon Related Quantities (ANSI), provides guidance for measuring the electric-field strength, ion-current density, conductivity, monopolar space-charge density, and net space-charge density in the vicinity of HVDC power lines, in converter substations, and in apparatus designed to simulate the HVDC power-line environment.

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Technique for estimating space-charge densities in systems containing air ions

Abstract: Articles you may be interested inA hybrid fast-multipole technique for space-charge tracking with halos AIP Conf.

Cited by 16 publications

References 11 publications

Accurate Extraction of Excess Channel Thermal Noise Coefficient in Berkeley Short-Channel Insulated Gate Field-Effect Transistor Model 4

Accurate Extraction of Excess Channel Thermal Noise Coefficient in Berkeley Short-Channel Insulated Gate Field-Effect Transistor Model 4

Calibration of aspirator-type ion counters and measurement of unipolar charge densities

IEEE Guide for the Measurement of DC Electric-Field Strength and Ion Related Quantities

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