Methods on the Determination of the Circuit Parameters in an Underwater Spark Discharge

We constructed an underwater discharge system to conduct a number of experiments. Considering the constant resistance plasma channel, we got analytic expression for current containing unknown parameters on basis Kirchhoff voltage law. Therefore, are required determine total circuit R with measured data in hand. Three methods employed get this job done, namely, nonlinear least squares three variables (NLS-TV), single variable (NLS-SV), and waveform calculation method (WCM). The Levenberg–Marquardt (L-M) algorithm particle swarm optimization (PSO) NLS-TV NLS-SV, root mean square error (RMSE), as well improved cosine similarity (ICS), was selected evaluate performance algorithms. results show that gives optimal solution combination PSO L-M algorithm. Then, by calculation, R = 1.3195 id="M2"> Ω , C 0.56865 μF, L 17.172 μH. RMSE ICS between fitted one 43.9689 0.9947, respectively. NLS-SV satisfying either or L-M, yet it needs information angular frequency from inductance id="M3"> C . In case, 1.3115 id="M4"> 16.969 μH, 48.0883, 0.9967. As WCM, is completely dependent id="M5"> corresponding values id="M6"> id="M7"> L 1.2463 id="M8"> 16.993 Also, 52.1902 0.9728. For needed capacitance during determined using computed NLS-TV. If energy storage used capacitance, obtained frustrating. independent use WCM demands precise RLC meter. also draw conclusion ignoring other parts incorrect will lead enormous calculation.