“…1 is given the classification of reasons and forms of damages, and also the schematic of the technical diagnosis of the transformer-reactor oil-filled equipment. (Lech and Tyminski, 1966;McNutt et al, 1970;Balakrishnan, 1989;Malewski and Khrennikov, 1995;Khrennikov, 1999;Khrennikov, 2000). On a quantity and the variety the methods of the diagnosis of the oil-filled equipment several times exceed the volume of the methods of diagnosis of overhead transmission lines, this is caused historically by closer attention to the reliability of the oil-filled equipment; by the same is caused the presence of a large quantity of finished effective systems "on-line" monitoring of the transformer equipment, for example, of such as control systems of bushings of R-1500, system of the checking of the transformer oil Hydran, TRANSFIX, TIM, TDM.…”