A paired representation of parametric identification and stabilization of electrical voltage

Abstract

In the class of electrical phenomena, the invariance group, the representation of which is a transformation group, is represented by parametric identification and stabilization of electrical voltage. This work considers a method for stabilizing electrical voltage based on a conjugate representation of parametric identification, which makes it possible to relate it to the general theory of limits, spaces, or groups and identify the diversity of the space within the framework of modern potential theory in the basic diversity of invariance principle. Several methods are known for stabilizing electrical voltage, with the parametric and compensating methods being the basic ones. In the parametric method, there is a destabilizing factor effect directly on the parameter of a nonlinear or control element, which automatically greatly reduces the influence of the destabilizing factor. In such stabilizers, nonlinear resistances (Zener diodes, barretters, thermistors, varistors, and incandescent light bulbs) and reactances are used. All these elements have a parameter depending on the electrical voltage, current, or their analogs.