The paper seeks to present a methodology using the numerical Schwarz‐Christoffel (SC) transformation in order to extract a subdomain from a simply‐connected source‐free two‐dimensional field domain. The aims to present an application to the design of an electrostatic micromotor.
The methodology can be usefully applied to reduce the size of complicated field regions with irregularly shaped boundaries. In the subdomain, finite‐element (FEM) analyses can then be performed with limited computational effort.
The synthesis of the conditions along the sub‐domain boundary, which is piecewise approximated by potential and flux lines, is carried out by performing repeated field analyses. Several comparisons among FEM and SC results are presented, to validate the proposed approach.
Refined techniques of conformal mapping are used in order to extract a suitable subdomain from a large field domain of an electrostatic micromotor. This allows one to focus the analysis directly on the region where the field distribution is to be investigated.
