Three-phase adaptive frequency measurement based on Clarke's transformation

The utilization of Clarke's transformation in the estimation of power system frequency provides the classical single-phase methods with more robustness because the estimated frequency is computed using the information provided by the three-phase voltage. This approach is particularly important when asymmetric sags generate zero voltage in one of the three phases. In addition, the proposed algorithm exhibits good behavior during dynamic conditions. The Clarke components of the voltage signals are then used to compute the frequency of the system following an iterative approach based on a proportional-integral-derivative controller. The inverse component of the voltage is also used in order to detect unbalanced conditions. The proposed algorithm has been put to the test with distorted three-phase voltage supplied by an arbitrary waveform programmable power supply and with different signals generated with an Alternative Transients Program-Electromagnetic Transients Program model.

[1]  S. Ovaska,et al.  Digital filtering for robust 50/60 Hz zero crossing detectors , 1995, Proceedings of 1995 IEEE Instrumentation and Measurement Technology Conference - IMTC '95.

[2]  T. H. Mason,et al.  Turbo-generator performance under exceptional operating conditions , 1959 .

[3]  R. H. Park.  Two Reaction Theory of Synchronous Machines , 1929 .

[4]  C. W. Liu,et al.  A Precise Calculation of Power System Frequency , 2001, IEEE Power Engineering Review.

[5]  Edith Clarke,et al.  Circuit analysis of A-C power systems , 1950 .

[6]  T. Sezi.  A new method for measuring power system frequency , 1999, 1999 IEEE Transmission and Distribution Conference (Cat. No. 99CH36333).

[7]  Waldemar Rebizant,et al.  Power system frequency estimation , 1998 .

[8]  M.J. Devaney,et al.  A new quadratic form based frequency measurement algorithm , 1996, Quality Measurement: The Indispensable Bridge between Theory and Reality (No Measurements? No Science! Joint Conference - 1996: IEEE Instrumentation and Measurement Technology Conference and IMEKO Tec.

[9]  L. Asnin,et al.  DSP methods for dynamic estimation of frequency and magnitude parameters in power system transients , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[10]  D. Agrez.  Frequency estimation of the non-stationary signals using interpolated DFT , 2002, IMTC/2002. Proceedings of the 19th IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.00CH37276).

[11]  R. H. Park,et al.  Two-reaction theory of synchronous machines-II , 1933, Transactions of the American Institute of Electrical Engineers.

[12]  T. Lin,et al.  A wavelet approach to real time estimation of power system frequency , 2001, SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603).

[13]  M. Kezunovic,et al.  New digital signal processing algorithms for frequency deviation measurement , 1991, Proceedings of the 1991 IEEE Power Engineering Society Transmission and Distribution Conference.