The paper deals with a mathematical model of the closed loop power supply system for a remotely operated underwater vehicle with a DC transmission line via a rope-cable and the load voltage feedback. The state-space method is used to develop the mathematical model. Using differential equations in the form of Cauchy alleviates significantly the mathematical description. The results for both simulation and mathematical models of the closed loop system are compared, thus, confirming the adequacy of mathematical description and prospects for further application in the design of a versatile tool for calculating and adjusting the parameters of the control system for the power supply system under study.

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The paper considers a closed-loop power supply for an autonomous object that is operated remotely. The power to the object is delivered via a direct current (DC) power transmission line representing a three-wire cable. The length of the cable is considered to be 8 km. The model in MATLAB Simulink has been created to investigate the essentials of the power supply operation and adjust the voltage controller. To compensate the voltage drop across the cable (over 500 V) the current signal correction was introduced. This correction proved to be a reliable method to provide a stable load voltage of 1200 V±2% in steady-state operating modes of electric equipment within the autonomous object structure. This will significantly enhance the overall performance of the equipment that is placed on the considerable distance from the power supply.

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