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Abstract
Inductive voltage dividers have the most appropriate metrological characteristics on alternative current and are widely used for converting physical signals. The model of a double-decade inductive voltage divider was designed with the help of Matlab/Simulink. The first decade is an inductive voltage divider with balanced winding, the second decade is a single-stage inductive voltage divider. In the paper, a new transfer function algorithm was given. The study shows errors and differences that appeared between the third degree reduced model and a twenty degree unreduced model. The obtained results of amplitude error differ no more than by 7 % between the reduced and unreduced model.
Highlights
Inductive voltage dividers (IVD) are widely used in measurement of impedance [1], circuit parameters, gain or attenuation, non-electrical values, physical constant; in realization of the Farad from the DC Quantum Hall Effect [2]; in calibration of high-voltage transformers [3], amplifiers, voltmeters, ADC, DAC; in attenuation measurement systems in the HF and UHF range [4]; in a lowfrequency AC power standard based on the programmable Josephson voltage standard [5,6]; in precision AC–DC transfer measurement systems [7,8]
The design concept based on a system approach, mathematical and physical modelling is a solution to frequency range extension for IVD
Call tf-function restf = tf(resss) The transfer functions expression for the first tapping of the second decade appears in the command window: 4. Results The model error may be estimated with the real IVD gain-frequency characteristic and the IVD model gain-frequency characteristic
Summary
Inductive voltage dividers (IVD) are widely used in measurement of impedance [1], circuit parameters, gain or attenuation, non-electrical values, physical constant; in realization of the Farad from the DC Quantum Hall Effect [2]; in calibration of high-voltage transformers [3], amplifiers, voltmeters, ADC, DAC; in attenuation measurement systems in the HF and UHF range [4]; in a lowfrequency AC power standard based on the programmable Josephson voltage standard [5,6]; in precision AC–DC transfer measurement systems [7,8]. Calculation and analysis of these IVDs is complex because of the high order system of equations describing physical processes occurring in them. The transfer function must have at most the third order for using in the analysis of the measurement and control systems having the IVD. We suggest an automatic and universal method of modelling multidecade IVD, and changes in Simulink models are not needed, only parameters in Matlab code should be involved.
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