Diakoptics for electrostatics

An electrostatic formulation for the diakoptic theory applied to induction phenomena is presented. The purpose is to propose a useful and simple computational tool, which appears well tailored to multielement structures, when partial and overall capacitances and effective electrostatic heights are the parameters demanded. An experimental test was carried out to investigate the major causes affecting the method approximation. These can be mainly ascribed to the choice of the first-order models representing the conducting elements given by the tearing process. However, some basic properties of the theory permit the final error to be restricted to a few percent when odd-shaped elements are simulated by ellipsoidal models. A number of practical applications involving high-voltage systems and sensitive electronics subjected to ESD (electrostatic discharge) are suggested