Reference Generation for Shunt Active Power Filters Based on Optimum Filtering Theory

This paper proposes methods for current reference generation for shunt active power filter based on optimum filtering theory. These methods incorporate possible frequency deviation of the fundamental grid frequency. The proposed methods are an extension of a recently proposed synchronization method named Kalman Filter-PLL (KF-PLL). In this paper it is shown that the KF-PLL can also be used to provide the current references for shunt active power filters. It is considered references generation for the following cases: harmonics cancellation, harmonics and displacement power factor correction, harmonics and unbalance compensation and harmonics with unbalance and displacement power factor correction.

[1]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[2]  C. L. Fortescue,et al.  Method of symmetrical co-ordinates applied to the solution of polyphase networks , 1918, Proceedings of the American Institute of Electrical Engineers.

[3]  Adly A. Girgis,et al.  Identification and tracking of harmonic sources in a power system using a Kalman filter , 1996 .

[4]  Humberto Pinheiro,et al.  Kalman Filter Based Synchronization Methods , 2006 .

[5]  Richard A. Brown,et al.  Introduction to random signals and applied kalman filtering (3rd ed , 2012 .

[6]  G. Joos,et al.  Design and performance of active power filters , 1998 .

[7]  G. D. Marques,et al.  An active power filter and unbalanced current compensator , 1997, IEEE Trans. Ind. Electron..

[8]  G. T. Heydt,et al.  Dynamic state estimation of power system harmonics using Kalman filter methodology , 1991 .

[9]  Alberto Pigazo,et al.  Reference estimation technique for active power filters using a digital Kalman algorithm , 2002, 10th International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.02EX630).

[10]  A. E. Emanuel,et al.  Practical definitions for powers in systems with nonsinusoidal waveforms and unbalanced loads: a discussion , 1996 .

[11]  John A. Orr,et al.  A survey of harmonic voltages and currents at distribution substations , 1991 .

[12]  J. Svensson.  Synchronisation methods for grid-connected voltage source converters , 2001 .

[13]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[14]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[15]  A. Girgis,et al.  A digital recursive measurement scheme for online tracking of power system harmonics , 1991 .