Abstract
Measurement of high-current pulses is crucial in some special applications, e.g., electrodynamic accelerators (EA) and converters. In such cases, the current shunts have limitations concerning the frequency bandwidth. To overcome the problem, a method based on the shunt mathematical model is proposed. In the method, the solution of ordinary differential equations for the RL circuit is carried out in order to obtain the real current shape. To check the method, as a referee, a Rogowski coil dedicated to measuring high-current pulses was used. Additionally, the measurement results were compared with the mathematical model of the tested power supply system. Measurements were made for the short power supply circuit, which allows eliminating the nonlinearity. The calculations were carried out using a circuit model. In order to obtain the parameters of the shunt (resistance and inductance), it was modeled using an ANSYS/Q3D Extractor software. Comparison of calculation and measurement results confirms the correctness of our method. In order to compare results, the normalized root mean square error (NRMSE) was used.
Highlights
Measurement of high-current pulses is crucial in some special applications, e.g., electrodynamic accelerators (EA) and converters
Q3D Extractor uses the method of moments, partial element equivalent circuits (PEEC) method, and finite element method (FEM) to compute capacitive, conductance, inductance, and resistance matrices
For a high-current pulse measurement there are very significant differences between current waveforms obtained from a shunt and visible Rogowski coil
Summary
The circuit parameters of the model could be determined either by calculation or measurement methods. Equivalent Circuit Method (PEEC), which uses Maxwell’s integral equations instead of differential equations and analytically calculates inductance and capacitance based on geometry and material information, is a very common solution [24,25,26]. Such a reduced model can significantly reduce the simulation cost. Q3D Extractor uses the method of moments (integral equations), partial element equivalent circuits (PEEC) method, and finite element method (FEM) to compute capacitive, conductance, inductance, and resistance matrices. N—number of measurement points; yimeas —measured value in ith point; yicalc —calculated value in ith point
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