Ultimate effect of non-identity of resistive elements of high-voltage arm on frequency characteristics of broadband voltage divider (analytical research)

V. Brzhezitsky, Y. Haran, Y. Trotsenko, O. Protsenko, A. Derzhuk, M. Dixit
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Abstract

Purpose. Determination in the analytical form of the maximum limiting influence of the non-identity of the resistive elements of the high-voltage arm on the amplitude-frequency characteristic and phase-frequency characteristic of the voltage divider with parallel-series connection of R-, C-elements of the high-voltage arm. Methodology. Based on the previously developed theory of broadband voltage dividers with parallel-series connection of R‑, C-elements, analytical expressions for amplitude-frequency and phase-frequency characteristics of the voltage divider are obtained and investigated taking into account the limit case of non-identical resistive elements of high-voltage arm. Results. The nature of the dependencies of the frequency characteristics of the broadband voltage divider on the value of the tolerance of the resistive elements of the high-voltage arm, the division factor of the voltage divider in a wide range of frequency changes are determined. Simplified approximating expressions for the maximum values of frequency characteristics of the voltage divider are proposed and their error is determined. Originality. For the first time in the analytical form the limiting influence of non-identity of resistive elements of a high-voltage arm of a voltage divider on its frequency characteristics is considered. A mathematical model of this influence is constructed and the limit values of frequency characteristics of the voltage divider are determined. Practical value. It is recommended to introduce into the normative documentation of broadband voltage dividers the corrected value of the division factor, which allows to significantly reduce the deviation of the actual value of the division factor of the voltage divider from the normalized value in a wide range of frequency changes.
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高压臂阻性元件非同一性对宽带分压器频率特性的最终影响(分析研究)
目的。以解析形式确定高压臂电阻元件不一致对高压臂R-、c -元件并联串联的分压器幅频特性和相频特性的最大限制影响。方法。基于已有的R -、c -单元并联串联宽带分压器理论,得到了分压器幅频特性和相频特性的解析表达式,并考虑了高压臂阻性元件不相同的极限情况。结果。宽带分压器的频率特性依赖于高压臂电阻元件容差值的性质,确定了分压器在宽频率变化范围内的分频系数。提出了分压器频率特性最大值的简化近似表达式,并确定了其误差。创意。本文首次以解析的形式考虑了分压器高压臂电阻元件非同一性对其频率特性的极限影响。建立了这种影响的数学模型,确定了分压器频率特性的极限值。实用价值。建议在宽带分压器的规范性文件中引入分频因子的修正值,这样可以在很大的频率变化范围内显著减少分压器分频因子的实际值与归一化值的偏差。
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