部分线性核估计方法在谐波责任分摊问题中的应用

JIA Xiufang

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部分线性核估计方法在谐波责任分摊问题中的应用

更新时间：2025-08-13

- 部分线性核估计方法在谐波责任分摊问题中的应用
- Automation of Electric Power Systems Vol. 39, Issue 3, Pages: 63-68(2015)
- 作者机构：
  
  新能源电力系统国家重点实验室，华北电力大学,河北省,保定市,071003
- 作者简介：
- 基金信息：
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- Published：2015
- 稿件说明：
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JIA Xiufang. [J]. Automation of electric power systems, 2015, 39(3): 63-68.
DOI：

JIA Xiufang. [J]. Automation of electric power systems, 2015, 39(3): 63-68. DOI：

摘要

准确评估公共连接点处的背景谐波电压和等效谐波阻抗是研究谐波责任分摊问题的前提。为准确评估背景谐波电压波动情况下受关注谐波源分摊的谐波责任，文中研究应用了部分线性核估计方法。为求解背景谐波电压，将背景谐波电压在受关注时段内的某一时刻按照泰勒级数展开，并把高阶项看做误差项，为保证求解的准确性，选取的目标函数在误差平方和最小的基础上考虑了展开时刻的有效邻域范围和各误差项所占权重不同对估计的影响，并利用窗宽参数控制展开时刻的邻域范围和对应误差项所占权重的大小。利用IEEE 14节点系统进行了仿真验证，并将计算结果与两种线性方法进行了比较，证明了该方法的有效性。

Abstract

Estimating background harmonic voltage and equivalent harmonic impedance at the point of common coupling (PCC) is the premise of studying harmonic contribution determination. For the purpose of accurately assessing harmonic contributions of the harmonic source of concern in the case of background harmonic voltage fluctuations

the kernel estimation with the partial linear method is researched and applied. To calculate the background harmonic voltage

it is expanded in accordance with Taylor series at a certain moment in the time interval of concern. And the higher-order term is regarded as an error term. To ensure the accuracy of calculation

on the basis of the least sum of square errors

the objective function considers the effective neighborhood of the moment and the influence of different error terms for different weights and uses the bandwidth to control the range of neighborhood and the size of weight. A case study based on an IEEE 14-bus test system is conducted to show that the method is more effective in comparison with two linear methods.

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