Calculation of 3D-capacitances with surface charge method by means of the basis set of solutions

This paper shows how to use the solution of electrostatic field problems by means of the basis set of solutions for the determination of the three dimensional partial capacitances between the electrodes of a given configuration. The Surface Charge Method and the Boundary Element Method are used to c...

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Bibliographic Details
Published in:IEEE transactions on dielectrics and electrical insulation 2010-02, Vol.17 (1), p.240-246
Main Authors: Gomollon, J.A., Santome, E., Palau, R.
Format: Article
Language:English
Subjects:
basis solution
boundary condition
Boundary conditions
boundary element method
Boundary element methods
Capacitance
charge simulation method
Computational modeling
Density
Dielectrics
Electrical insulation
Electrodes
electrostatic field calculation
Electrostatic fields
Electrostatics
Equations
floating potential
Geometry
Mathematical analysis
Mathematical models
Surface charge
surface charge method
Vectors (mathematics)
Voltage
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Summary:This paper shows how to use the solution of electrostatic field problems by means of the basis set of solutions for the determination of the three dimensional partial capacitances between the electrodes of a given configuration. The Surface Charge Method and the Boundary Element Method are used to carry out the field calculation and determine the charge distributions on the electrode surfaces. The integration of the charge densities for the basis vectors of potentials allows the direct determination of the capacitance matrix of the problem. The difference between integrating surface charge densities and adding up fictitious charges for the determination of capacitances is also shown. Special attention is given to the computation in the presence of electrodes at floating potential.
ISSN:1070-9878
1558-4135
DOI:10.1109/TDEI.2010.5412023