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最小二乘法在距离保护中的应用初探 被引量:18

Primary research of implementing least squares in digital distance relaying
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摘要 电压和电流信号中存在的非周期分量和高次谐波分量会影响到距离保护测量阻抗的真实性。通过滤除非工频信号而获得的基波阻抗值,可以确保距离保护动作的正确性。基于最小二乘原理的参数估计是应用相当普及的方法,将最小二乘法应用于距离保护中,构建了基于微分方程的系统模型,提出通过测量电感参数获得测量电抗,为解决基于微分方程测量电阻参数估计模型误差大的问题,提出基于有功功率概念构建的测量电阻参数估计模型,并就所提出方法进行了仿真验证,表明通过最小二乘法进行的测量阻抗参数估计是可以应用于距离保护的。 Sensed impedance of distance relay may be distorted by the non-periodic and harmonic value of the sensed voltage and current. To ensure the operating correctness of distance relay, the fundamental voltage and current for impedance calculation must be abtained. The popular principle of parametrical estimation is the least squares algorithm. The least squares algorithm is applied to the distance relay in this paper. The system model based on the differential equation is constructed. Since the MSE(Mean Square Error) of estimating resistance based on the model of differential equation is unacceptable, a new model of instant power consumption for estimating resistance is suggested. Both the model based on the differential equation and that based on the instant power consumption are validated by simulation. The result of analysis and simulation shows that the sensed impedance for distance relay can be gotten by individually estimating inductance and resistance.
出处 《继电器》 CSCD 北大核心 2004年第7期17-20,共4页 Relay
基金 国家自然科学基金资助项目(69774024)
关键词 距离保护 最小二乘法 测量电感 测量电阻 distance relay least squares algorithm sensed inductance sensed resistance
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参考文献5

  • 1Alfuhaid A S,E1-Sayed M A.A Recursive Least-squares Digital Distance Relaying Algorithm [ J ].IEEE Trans on Power Delivery,1999,14(4):1257-1262.
  • 2Isaksson A.Digital Protective Relaying through Recursive Least-squares Identification[ J].IEE Proceedings,1988,135(5) :441 -449.
  • 3Trinidad S,Pierre B,Mathieu G,et al.Fundamental Basis for Distance Relaying with Parametrieal Estimation[J].IEEE Trans on Power Delivery,2001,16( 1 ) :99 -104.
  • 4张哲,陈德树.递推最小二乘算法在微机距离保护中的应用研究[J].电力系统自动化,1991,15(4):31-40. 被引量:11
  • 5贺家李,宋从矩(HE Jia-li,SONG Cong-ju).电力系统继电保护原理(The Principle of Relay in Power Systems)[M].北京:中国电力出版社(Beijing:China Electric Power Press),1994.

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