Abstract

A microprocessor board comprises many capacitors in parallel for decoupling purposes. Due to space constraints, they are kept close to each other. When two capacitors with different self-resonant frequencies are connected in parallel, between their self-resonant frequencies an impedance peak known as antiresonance is introduced. If the capacitors are placed close to each other, their mounting loops are magnetically coupled. This coupling affects the antiresonance peak value, which is studied in this study. An expression for the peak value of antiresonance is derived using circuit theory, and it is compared with accurate solutions obtained in Matlab™. A general critical damping condition is formulated based on this. The expressions are validated with simulation and experimental studies. The obtained results will be useful for improving capacitor selection algorithms used in power distribution network design by incorporating the coupling effects into the constraints.

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