Harmonic Amplification Analysis of Cable Lines with Distributed Parameters Based on Kalman Filter and Convolution Inversion

Abstract

Harmonic amplification phenomena could appear at the point of common connection (PCC) of the cable line terminal. However, the distributed parameter model of the cable line contains hyperbolic functions with plural variables, which makes it challenging to obtain the harmonic amplification factor (HAF). Hence, a time-domain method combining the Kalman filter and convolution inversion (KFCI) methods is proposed to address this problem. First, the Kalman filter method optimizes the square wave pulse response (SWPR) with measurement error. Then, the optimized SWPR data are used to get the HAF by the convolution inversion method. Next, the harmonic amplification characteristics of cable lines are explored. Finally, an experimental simulation model is built on the PSCAD software, verifying the optimization effectiveness of Kalman filter for the SWPR with error and the accuracy of the HAF calculated by the proposed method. The analysis rationality of harmonic amplification properties is also demonstrated.

Equivalent Impedance Parameter Calculation of Three-phase Symmetrical Loads for Harmonic Source Location

“…For obtaining a harmonic source location, the emitted harmonic magnitude can be used to determine harmonic sources using active models such as the Norton model at harmonic frequencies [23], as a traditional method in the frequency domain; also, the time-varying equivalent impedance parameters can be used to determine harmonic sources, as a method in the time domain. The equivalent impedance waveforms in the time domain are obtained by sequentially solving (2). In fundamental cycles of grid frequency, equivalent impedance waveforms of linear loads generally remain stable, while severe fluctuations in equivalent impedance waveforms of nonlinear loads are easily observed [6], [18]- [21].…”

“…W ITH a large number of distributed generations and nonlinear loads in power grids, harmonic distortion has become one of the most common and significant powerquality-related problems, which has attracted increasing research attention in recent years [1], [2]. Harmonic sources in power grids must be identified and located to achieve effective control of harmonic pollution and determination of responsibility in incentive management [3]- [5].…”