Application of wood structures for the analysis of electrostatic chains in equipment with one source

Abstract

The purpose of the study is to develop a methodology using tree structures in single-source linear electrostatic circuit. The analysis of the electrostatic scheme through equivalent transformations described using a tree structure gives an unambiguous relation between the capacities of the elements (schematic and equivalent) on the one hand and the charge and voltage on the other. There is a comparison of this methodology for obtaining private solutions and other existing methods.
The following results were obtained:
- Equivalent tree structure of the electrostatic scheme of mixed junction capacitors - to determine equivalent capacitance (in the rights direction) as well as to determine charges and voltages (in the opposite direction).
- An algorithm for determining equivalent capacity, as well as a voltage and charge determination algorithm based on equivalent transformations.
The work contributes with the following:
- A methodology is proposed for analyzing a linear electrostatic scheme with a single source based on a tree structure.
- It is suggested that the training of students in the area of theoretical electrical engineering include the analysis of the electrostatic circuit analysis according to the proposed algorithm for the application of tree structures including an equivalent tree scheme and demo calculations.