Performance degradation caused by coefficient approximation in Sliding-DFT based phasor measurement

순환 DFT 기반의 동기 위상 측정에 있어서 계수 근사에 따른 성능 열화 분석

  • Kim, Chong-Yun (School of Electrical Engineering, Chung-Ang University/NPTC) ;
  • Chang, Tae-Gyu (School of Electrical Engineering, Chung-Ang University/NPTC)
  • 김종윤 (中央大學敎 電子電氣工學部) ;
  • 장태규 (中央大學敎 電子電氣工學部)
  • Published : 2002.07.01

Abstract

This paper presents an analysis of the performance degradation of coefficient approximation and frequency deviation in phase measurement algorithm based on Sliding-DFT. The analytic derivation is based on the statistics of the error dynamic equation that describes the error propagation of the recursion. The analysis result is intended to obtain a closed-form equation of error variance in terms of the number of bits used in coefficient approximation, the length of the DFT data block, and noise. It is verified with data obtained from the computer simulations.

본 논문에서는 순환 DFT 기반의 위상 측정 알고리즘을 구현함에 있어서 계수 근사 및 주파수 변이에 따른 성능 열화를 해석하였다. 오차의 영향을 해석하기 위해서 근사 순환 DFT식을 이용하여 오차 방정식(error dynamics)을 정의하고 이의 통계적 특성을 이용하여 오차의 특성을 분석한다. 오차 전력은 오차파급의 주요 영향 요소인 근사 bit수, DFT 구간 길이와 잡음에 관한 closed-form으로 유도되어 진다. 해석적으로 유도한 식과 시뮬레이션 실험을 통해 얻을 결과를 비교하여 타당성을 확인하였다.

Keywords

References

  1. M. S. Sachdev and M. M. Giray, 'A Least Squares Technique For Determining Power System Frequency,' IEEE Transactions on Power Apparatus and Systems., Vol. PAS-104, No.2, pp. 437 -443, Feb 1985 https://doi.org/10.1109/TPAS.1985.319059
  2. C. T. Nguyen and K. Srinivasan, 'A New Technique for Rapid Tracking of Frequency Devation Based on the Level Crossing,' IEEE Transactions on Power Apparatus and Systems., Vol. PAS-103, No.8, pp. 2230-2236, Aug 1984 https://doi.org/10.1109/TPAS.1984.318536
  3. M. S. Sachdev and M. M. Giray, 'A Least Squares Technique For Determining Power System Frequency,' IEEE Transactions on Power Apparatus and Systems., Vol. PAS-104, No.2, pp. 437 -443, Feb 1985 https://doi.org/10.1109/TPAS.1985.319059
  4. V. V. Terzija M. B. Djuric, and B. D. Kovacevic, 'Voltage Phasor and Local System Frequency Estimation Using Newton Type Algorithm,' IEEE Transactions on Power Delivery., Vol. 9, No. 3, pp. 1368-1374, July 1994 https://doi.org/10.1109/61.311162
  5. A. G. Phadke, J. S. Thorp, and M. G. Adamiak, 'A New Measurement Technique for Tracking Voltage Phasors, Local System Frequency,and Rate of Change of frequency,' IEEE Transactions on Power Apparatus and Systems., Vol. 102, No.5, pp. 1025~ 1038, May 1983 https://doi.org/10.1109/TPAS.1983.318043
  6. K. J. R Liu, C.T. Chiu, K.K. Kolagotla, and J.F. Ja' Ja', 'Optimal unified architectures for the real-time computation of time-recursive discrete sinusoidal transforms, 'IEEE Trans. on Circuits Syst. Video Technol.,, vol. 4, pp. 168-180, Apr.1994 https://doi.org/10.1109/76.285623
  7. N. R Murthy and M. N. S. Swamy, 'On the computation of running discrete cosine and sine transforms, 'IEEE Trans. on Signal Processing, Vol. 40, No.6, pp. 1430- 1437, June 1992 https://doi.org/10.1109/78.139246
  8. Jae-Hwa Kim, and Tae-Gyu Chang, 'Analytic Derivation of Finite Wordlength Effect of the Twiddle factors in Recursive Implementation of the Sliding-DFT,' IEEE Transactions on Signal Processing, No.5, Vol. 48, pp. 1485-1488, May 2000 https://doi.org/10.1109/78.839998