Analytical Formula for the Voltage at the End of Long Cable During Withstand Test

During withstand test of long cable on submarine and some special occasions, the increase of voltage at the end of the cable may endanger the insulation safety. This paper presented an analytical calculation formula for the voltage of long cable. Based on the basic distribution parameters theory of cable, we first established the cable equivalent circuit, then derived the cable transmission model and transmission matrix, and last obtained an analytical calculation formula for the voltage at the end of the cable. The accuracy of the formula is verified by simulation, and the frequency characteristic of withstand test is analyzed. The results of the simulation study show that when using the calculation formula, which can provide a reference for relevant personnel to judge whether the voltage at the end of the cable is within the safe range, so as to avoid the risk of insulation breakdown and ensure safety during the withstand test.