The subject of the study is the moment of inertia control process of electrical installations and systems with a great and non-predefinable number of degrees of freedom of their mobile parts. The objective of the study is to create, on the basis of an updated theory of electrodynamic analogies, new methods and equipment for nondestructive testing of the inertia moment of electrical systems with rotational and complex mode of motion. The theoretical results are as follows: for the first time, the study has revealed and mathematically justified the topological structure concept and regularities of generalized electric circuits which are identical, in terms of the number of degrees of freedom, to Lagrange-Maxwell equation and to Lagrange's equation of the second kind, and, thence, the study has built, on this basis, the generalized mathematical and electric models of the converting primitive (base) operation utilized by the devices to be used to control the inertia moment of electrical installations and systems with various modes of motion; the study has further elaborated the theory of inertia moment control of the rotary parts of electrical installations and systems, whereby a uniform approach has been taken to develop new 1-st, 2-nd and 3-rd-order control methods which, as compared with the methods currently used, ensure a wider measurement range and a higher control accuracy and methodological veracity; for the first time, the study has created a differential mathematical model of spatial optical modulation and, basing on the results of the solution thereof, has generated a genuine type of a sensor to be used in an optical-and-electronic system for control of the moment of inertia of electrical system mobile parts, which allows to extend the measurement range and to implement a non-destructive and non-contact type of control of the above parameter. The practical results are as follows: on the basis of the mathematical and electrical models suggested, a microprocessor-based block diagram has been developed and an inertia moment control algorithm has been devised, which allows, on the basis of a generalized optical-and-electronic sensor, to implement new moment-of-inertia control methods. Such an approach makes it possible to measure and monitor the moment of inertia and other parameters of electrical system mobile parts in hard-to-reach areas, where conventional sensors cannot be installed, in a manner which prevents direct contact with the controllable objects, such as shafts of hydrogenerators, auger-type diffusers, centrifuges or some cyclic-functioning general-purpose industrial installations. Scope of practical application: the results of the study have been implemented at Dnieper Pump-Storage Hydropower Plant Public Co. (Deed dd. 15 May 2012) and have been introduced into the educational process of Vinnytsia National Technical University (Deed dd. 10 May 2012). Sphere (fields) of application: some mining and heavy industries, transport, power engineering industry.
