Analysis of Paralleling Limited Capacity Voltage Sources by Projective Geometry Method

Alexandr Penin

doi:10.1155/2014/359893

Abstract

The droop current-sharing method for voltage sources of a limited capacity is considered. Influence of equalizing resistors and load resistor is investigated on uniform distribution of relative values of currents when the actual loading corresponds to the capacity of a concrete source. Novel concepts for quantitative representation of operating regimes of sources are entered with use of projective geometry method.

Highlights

The paralleling of lower-power voltage sources offers well-known advantages over a single, high power source
It is natural to understand the uniform loading of sources in the relative sense when the actual loading corresponds to the capacity of the source. The analysis of such power supply system by the method of projective geometry has led to introduction of some concepts for quantitative representation of operating regimes [6]
Let us consider in detail a geometrical interpretation of the transformation (8) for different initial values of quantities m1, m2 at loading change. These quantities define a line segment; its length or degree of difference of source loading is decreased at its approach to the fixed points

Summary

Introduction

The paralleling of lower-power voltage sources (converter modules) offers well-known advantages over a single, high power source. The basic problem of such power supply system is the load-current sharing among the paralleled modules. Various approaches of current distribution are known [1]. Scatter of module parameters, possible cases of use of primary voltage sources (further-sources) with different capacity, determines the nonuniformity distribution of currents. It is natural to understand the uniform loading of sources in the relative sense when the actual loading corresponds to the capacity of the source. The analysis of such power supply system by the method of projective geometry has led to introduction of some concepts for quantitative representation of operating regimes [6].

Analysis of the Paralleling of Voltage Sources

Comparison of Loading Regime of Different Circuits

Conclusions