Implementation of Resonant Controllers and Filters in Fixed-Point Arithmetic

Resonant controllers and filters are useful in voltage-source-converter control systems. Although the trend is toward implementation in floating-point arithmetic, fixed-point arithmetic is still of interest, but requires much greater care in the algorithm design. This paper covers some important issues, namely, choice of structure, design formulas, scaling, sensitivity, quantization-noise amplification, and suppression of overflow limit cycles. The results presented should be particularly helpful as design guidelines to practical engineers in a situation where one often resorts to trial and error.

[1]  A. Michel,et al.  Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters , 1992 .

[2]  T. Claasen,et al.  On the stability of the forced response of digital filters with overflow nonlinearities , 1975 .

[3]  Frede Blaabjerg,et al.  Proportional-resonant controllers and filters for grid-connected voltage-source converters , 2006 .

[4]  M. Liserre,et al.  Multiple harmonics control for three-phase grid converter systems with the use of PI-RES current controller in a rotating frame , 2006, IEEE Transactions on Power Electronics.

[5]  Graham C. Goodwin,et al.  Digital control and estimation : a unified approach , 1990 .

[6]  Frede Blaabjerg,et al.  Shunt Active-Power-Filter Topology Based on Parallel Interleaved Inverters , 2008, IEEE Transactions on Industrial Electronics.

[7]  L. Jackson.  Roundoff-noise analysis for fixed-point digital filters realized in cascade or parallel form , 1970 .

[8]  Alfred Fettweis,et al.  Suppression of parasitic oscillations in wave digital filters , 1975 .

[9]  Seddik Bacha,et al.  New Optimized PWM VSC Control Structures and Strategies Under Unbalanced Voltage Transients , 2007, IEEE Transactions on Industrial Electronics.

[10]  L. Kristiansson,et al.  Necessary and sufficient conditions for the absence of overflow phenomena in a second-order recursive digital filter , 1975 .

[11]  Lars Wanhammar.  DSP integrated circuits , 1999 .

[12]  Lennart Harnefors,et al.  Modeling of Three-Phase Dynamic Systems Using Complex Transfer Functions and Transfer Matrices , 2007, IEEE Transactions on Industrial Electronics.

[13]  Massimo Bongiorno,et al.  Frequency-domain passivity-based current controller design , 2008 .

[14]  S. Ovaska,et al.  Delta operator realizations of direct-form IIR filters , 1998 .

[15]  Frede Blaabjerg,et al.  Proportionalresonant controllers and filters for gridconnected voltagesource converters , 2006 .

[16]  J. W. Brown,et al.  Complex Variables and Applications , 1985 .

[17]  Russel J. Kerkman,et al.  A New Synchronous Current Regulator and an Analysis of Current-Regulated PWM Inverters , 1986, IEEE Transactions on Industry Applications.

[18]  Leland B. Jackson,et al.  On the interaction of roundoff noise and dynamic range in digital filters , 1970, Bell Syst. Tech. J..

[19]  Donald Grahame Holmes,et al.  Delta operator digital filters for high performance inverter applications , 2002, 2002 IEEE 33rd Annual IEEE Power Electronics Specialists Conference. Proceedings (Cat. No.02CH37289).

[20]  Seddik Bacha,et al.  A Single Synchronous Frame Hybrid (SSFH) Multifrequency Controller for Power Active Filters , 2006, IEEE Transactions on Industrial Electronics.

[21]  Michael G. Taylor,et al.  Overflow oscillations in digital filters , 1969 .