Computation of the Capacitance Matrix for Dielectric-Coated Wires
Abstract
A matrix inversion technique is presented which may be used to compute the capacitance matrix of a system of bare or dielectric-coated parallel cylindrical wires. Systems of cylindrical wires with dielectric-coating have heretofore been untreated while bare wire systems have received minimal attention. A Fourier series expansion is used to represent the charge distribution over the surfaces of the boundaries. The boundary conditions are enforced at discrete points by requiring the potential to be constant along conductor boundaries and the normal component of the displacement vector to be continuous across dielectric boundaries. A matrix equation relating to the Fourier coefficients to the boundary conditions is obtained and then inverted to yield an expression which can be reduced to the relationship defining the multiwire capacitance matrix. Relevant applications to network problems and extra-high voltage (EHV) power transmission are cited.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1974
- Accession Number
- AD0778948
Entities
People
- Clayton R. Paul
- Joseph C. Clements
Organizations
- University of Kentucky