Voltage regulators with limited capacity power supply and Non-Euclidean geometry

Abstract

The restriction of load power, two–valued regulation characteristic, and interference of several loads is observed in power supply systems with limited power of voltage source. The approach for interpretation of changes or “kinematics” of load regimes is presented by using the conformal and hyperbolic plane. This geometrical interpretation allows to base the definition of operating regime parameters. Results can be useful for electric circuit theory education and for voltage coordinated control of given loads. Non-Euclidean geometry is a new mathematical apparatus in the electric circuit theory, adequately interprets “kinematics” of circuit, provides the validation for the introduction and definition of the proposed concepts.