CAJ | 학술논문

研究了电子式互感器采样不同步时数字化智能电子设备（IED）的数据同步问题。在推导一阶Lagrange插值算法精确误差公式的基础上，计算了内、外2种插值方法的瞬时和相量误差，以及对继电保护和测量的影响。传统减小误差的算法只涉及采样率，而一阶Lagrange插值算法与采样率和采样偏移时间都相关。通过研究误差随采样偏移时间变化的规律，用最小二乘法以抛物线方程拟合复杂误差轨迹方程，在限定误差的前提下简化了分析。在此基础上，提出了一种自适应调整插值基准时刻的算法，经分析验证该算法可以有效降低误差。
연구료전자식호감기채양불동보시수자화지능전자설비（IED）적수거동보문제。재추도일계Lagrange삽치산법정학오차공식적기출상，계산료내、외2충삽치방법적순시화상량오차，이급대계전보호화측량적영향。전통감소오차적산법지섭급채양솔，이일계Lagrange삽치산법여채양솔화채양편이시간도상관。통과연구오차수채양편이시간변화적규률，용최소이승법이포물선방정의합복잡오차궤적방정，재한정오차적전제하간화료분석。재차기출상，제출료일충자괄응조정삽치기준시각적산법，경분석험증해산법가이유효강저오차。
Abstract： Data synchronization of digital intelligent electronic device （IED） with non-synchronous sampling of electronic transformers is studied. Based on derivative precise error formula of first-order Lagrange interpolation algorithm, each instantaneous error and phasor error of inside and outside interpolation algorithms are calculated, and the impacts to relay protection and measurement are also analyzed. First-order Lagrange interpolation error is related to sampling rate and offset time. But conventional reduce errors method is increasing sampling rate only. Through study on error variation rule with offset factor, and with using parabola equation to fit complex error locus equation by least square method under the certain error, the analysis is simplified. An adaptive adjusting basic time of interpolation algorithm is put forward which can effectively reduce error proved by verification.