# Digital Compensation of a Resistive Voltage Divider for Power Measurement

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Transfer Function of RVD

_{0}= 2 kΩ (Figure 1), thus giving the nominal voltage ratio

## 3. Influence of Thermal Effect on RVD

## 4. Measurement System for System Identification

## 5. Wiener Compensation

**w**of the compensator is defined by the time-discrete Wiener–Hopf equation [17,18].

**R**denotes the autocorrelation matrix

**R**is a symmetric Toeplitz matrix. Here, L is filter order and ${c}_{l}$ is a positive weighting factor, which can be set individually for each frequency ${f}_{l}$. In such a way the specification of the transfer function can be held more tightly for some frequencies (with bigger weighting factors) than the others. In this particular application all ${c}_{l}$ were set to 1 thus giving the equal emphasis on each specified frequency. Note that entries of the leading diagonal of

**R**reduce to:

**p**is the cross-correlation vector [19]:

**R**is a non-singular matrix (i.e., if it is invertible). In the frequency domain, it is satisfied with spectrally rich signals. Generally, the solution will exist if there are at least half as many frequency components in the measured response as there are coefficients in the Wiener filter [18,20].

## 6. Results

## 7. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 3.**Block diagram of the measurement system. Device Under Test (DUT), National Instruments PCI eXtension for Instrumentation (NI PXIe), Clock Input (Clk IN), Clock Out (Clk Out). Channel X (CH X).

**Figure 5.**Magnitude response of the resistive voltage divider (RVD) for the frequencies up to 100 kHz.

**Figure 6.**Phase angle response of the resistive voltage divider (RVD) for the frequencies up to 100 kHz.

**Figure 7.**Comparison of the original normalized magnitude response and its digital compensation (MATLAB simulation).

**Figure 8.**Comparison of the original and compensated phase angle of resistive voltage divider (RVD) (MATLAB simulation).

**Figure 9.**Resistive voltage divider (RVD) magnitude error after compensation—PCI eXtension for Instrumentation (PXI) real time implementation.

**Figure 10.**Resistive voltage divider (RVD) phase angle error after compensation—PCI eXtension for Instrumentation (PXI) real time implementation.

**Figure 11.**Resistive voltage divider RVD magnitude error in power quality frequency range after compensation—PCI eXtension for Instrumentation (PXI) real time implementation.

**Figure 12.**Resistive voltage divider (RVD) phase angle error in power quality frequency range after compensation—PCI eXtension for Instrumentation (PXI) real time implementation.

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**MDPI and ACS Style**

Dadić, M.; Mostarac, P.; Malarić, R.; Konjevod, J.
Digital Compensation of a Resistive Voltage Divider for Power Measurement. *Electronics* **2021**, *10*, 696.
https://doi.org/10.3390/electronics10060696

**AMA Style**

Dadić M, Mostarac P, Malarić R, Konjevod J.
Digital Compensation of a Resistive Voltage Divider for Power Measurement. *Electronics*. 2021; 10(6):696.
https://doi.org/10.3390/electronics10060696

**Chicago/Turabian Style**

Dadić, Martin, Petar Mostarac, Roman Malarić, and Jure Konjevod.
2021. "Digital Compensation of a Resistive Voltage Divider for Power Measurement" *Electronics* 10, no. 6: 696.
https://doi.org/10.3390/electronics10060696