Mathematical model of the evolution of operating parametersof dielectrics in the marine power supply system when forcing certain factors

Abstract

Abstract The paper addresses the issue of development of a mathematical model for the evolution of operating parameters of dielectrics in the marine power supply system when forcing certain factors. The paper addresses a comprehensive problem in comparison with the classical problem of the wear theory. With regard to the given details, factors that cause a decrease in the operating time were introduced to determine the operating time before electrical wear of the power supply unit. The study employs methods of the fuzzy (uncertain) set theory. The uncertainty of quantities in the fuzzy set theory is set by the membership function, which determines the degree of its fuzziness. In accordance with fuzzy set methods, a membership function is constructed to estimate fuzziness of the function of a shrinking time resource of operating time before wear. In Mathcad, the authors have developed a computational module for estimating the fuzzy time (due to inaccuracy of the initial data) subtracted from the total operating time before electrical wear of the berthing power supply unit. To improve the reliability of power supply to seaports and reduce accidents, new technical and organizational measures are being developed. Therefore, the task is formulated to ensure serviceability of the power supply system with due regard to its interactions with various subsystems.