In this paper, an analytical solution for the discharge current in the form of an impulse generated in an air-cored solenoid coil connected to a discharge circuit composed of a high-voltage capacitor, thyristor, and freewheeling diode was derived from...
In this paper, an analytical solution for the discharge current in the form of an impulse generated in an air-cored solenoid coil connected to a discharge circuit composed of a high-voltage capacitor, thyristor, and freewheeling diode was derived from equivalent models of RLC and RL series circuits. It was confirmed that the form of discharge current showed three different forms according to the combination of capacitance of capacitor, inductance and resistance of coil, and the expression for discharge current in the most general case was derived as a closed function of the main variables. Finally, by using the expression for the discharge current, expressions for three physical properties: the maximum value of the discharge current that can represent the characteristics of the discharge current, its arrival time, and the full discharge time of the capacitor were derived. The validity of the proposed equations was performed through comparison with CAE analysis results for discharge circuits with specific specifications.