A refinement of a previous asymptotic analysis of the well-known two-capacitor circuit is presented. It rests on some mathematical results, which allow the originally conceived regularity constraint to be replaced with a new one, not only less restrictive but also and above all simpler and easier to check. On this basis, the main time domain diagrams of the circuit with the embedding switch are presented. In addition, the solution of the circuit in the transition interval is provided, and some calculations related to the distribution side of the analysis are also reconsidered and improved.This work presents a refined mathematical analysis of the two-capacitor circuit, where the ideal switch is obtained as a limit in distribution of non-ideal switches. Regularity conditions on the non-ideal switches are studied that lead to circuit solutions with bounded voltages and currents, allowing the definition of a limit case that matches both the ideal switch behavior and energy conservation too.
Refined asymptotic analysis of the two-capacitor circuit
Sommariva, AM
;Dalai, M
2023-01-01
Abstract
A refinement of a previous asymptotic analysis of the well-known two-capacitor circuit is presented. It rests on some mathematical results, which allow the originally conceived regularity constraint to be replaced with a new one, not only less restrictive but also and above all simpler and easier to check. On this basis, the main time domain diagrams of the circuit with the embedding switch are presented. In addition, the solution of the circuit in the transition interval is provided, and some calculations related to the distribution side of the analysis are also reconsidered and improved.This work presents a refined mathematical analysis of the two-capacitor circuit, where the ideal switch is obtained as a limit in distribution of non-ideal switches. Regularity conditions on the non-ideal switches are studied that lead to circuit solutions with bounded voltages and currents, allowing the definition of a limit case that matches both the ideal switch behavior and energy conservation too.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
