High frequency design and performance of tabular capacitors

The electrical design, analysis and performance of tabular capacitors are presented. Simple formulas for capacitances are derived for spiral and concentric type tabular capacitors. By numerical methods the regions of greatest electric stress in the dielectric are found. The influence of bumps on the capacitor plates is examined by the method of conformal transformation. It is shown that a small circular ridge running the length of the capacitor can reduce the voltage rating by 50%. The inductance of the capacitor sets an upper bound on the highest frequency at which the capacitor behaves ideally. It was previously shown that high frequency behavior is influenced by the particular connection used in a capacitor. For a spiral wound tabular capacitor one type of connection is considered, and its equivalent circuit is exhibited. For concentric cylindrical tubular capacitors the only type of connection possible is the one considered for the spiral-wound capacitors. For that configuration a closed form electrostatic induction coefficient and inductance coefficient matrices are presented and used for high frequency analyses