Carrier Distortion in Hysteretic Self-Oscillating Class-D Audio Power Amplifiers: Analysis and Optimization

An important distortion mechanism in hysteretic self-oscillating (SO) class-D (switch mode) power amplifiers-carrier distortion-is analyzed and an optimization method is proposed. This mechanism is an issue in any power amplifier application where a high degree of proportionality between input and output is required, such as in audio power amplifiers or xDSL drivers. From an average-mode point of view, carrier distortion is shown to be caused by nonlinear variation of the hysteretic comparator input average voltage with the output average voltage. This easily causes total harmonic distortion figures in excess of 0.1-0.2%, inadequate for high-quality audio applications. Carrier distortion is shown to be minimized when the feedback system is designed to provide a triangular carrier (sliding) signal at the input of a hysteretic comparator. The proposed optimization method is experimentally proven in an audio power amplifier leading to THD figures that are comparable to the state of the art. Experimental hardware is a hysteretic SO bandpass current-mode-controlled single-ended audio power amplifier capable of 45 W into 8 Omega or 80 W into 4Omega from a plusmn34 V supply with less than 0.03% THD from 100 Hz to 6.7 kHz. Carrier distortion is shown to account for this limitation in THD performance.

[1]  Boon-Teck Ooi,et al.  High Power Switch Mode Linear Amplifiers for Flexible AC Transmission System , 1996, IEEE Power Engineering Review.

[2]  Jiin-Chuan Wu,et al.  A ripple control buck regulator with fixed output frequency , 2003 .

[3]  L. Loron,et al.  An Efficient Switching Frequency Limitation Process Applied to a High Dynamic Voltage Supply , 2008, IEEE Transactions on Power Electronics.

[4]  K.D.T. Ngo,et al.  Synthetic-ripple modulator for synchronous buck converter , 2005, IEEE Power Electronics Letters.

[5]  M. Hoyerby,et al.  Ultrafast Tracking Power Supply With Fourth-Order Output Filter and Fixed-Frequency Hysteretic Control , 2008, IEEE Transactions on Power Electronics.

[6]  Pallab Midya,et al.  Tracking power converter for supply modulation of RF power amplifiers , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[7]  Pertti Silventoinen,et al.  Implementing sliding mode control for buck converter , 2003, IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC '03..

[8]  Michael A. E. Andersen,et al.  Derivation and Analysis of a Low-Cost, High-performance Analogue BPCM Control Scheme for Class-D Audio Power Amplifiers , 2005 .

[9]  Bruno Putzeys Simple Self-Oscillating Class D Amplifier with Full Output Filter Control , 2005 .

[10]  Rene Groenenberg,et al.  An Asynchronous Switching High-end Power Amplifier , 2002 .

[11]  M.A.E. Andersen,et al.  Accurate sliding-mode control system modeling for buck converters , 2007, 2007 European Conference on Power Electronics and Applications.

[12]  P. Midya,et al.  A detailed analysis of the effect of dead time on harmonic distortion in a class D audio amplifier , 2007, AFRICON 2007.

[13]  Edgar Sánchez-Sinencio,et al.  Design of a Class D Audio Amplifier IC Using Sliding Mode Control and Negative Feedback , 2007, IEEE Transactions on Consumer Electronics.

[14]  Giorgio Spiazzi,et al.  Small-signal analysis of DC-DC converters with sliding mode control , 1997 .

[15]  M. Castilla,et al.  Feedback Linearization of a Single-Phase Active Power Filter via Sliding Mode Control , 2008, IEEE Transactions on Power Electronics.

[16]  Frank F. Judd,et al.  Self-Oscillating Regulated DC-to-DC Converter , 1972 .

[17]  B. Putzeys,et al.  Digital audio's final frontier , 2003 .

[18]  K. M. Smith,et al.  A new PWM controller with one-cycle response , 1999 .

[19]  Josep M. Guerrero,et al.  Design of voltage-mode hysteretic controllers for synchronous buck converters supplying microprocessor loads , 2005 .

[20]  Claus Neesgaard,et al.  PWM Amplifier Control Loops with Minimum Aliasing Distortion , 2006 .

[21]  J. L. Lin,et al.  Direct and indirect SMC control schemes for DC-DC switching converters , 1997, Proceedings of the 36th SICE Annual Conference. International Session Papers.

[22]  Chris Bingham,et al.  Effect of dead time on harmonic distortion in class-D audio power amplifiers , 1999 .

[23]  Michiel Steyaert,et al.  Behavioral analysis of self-oscillating class D line drivers , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[24]  S.R. Sanders,et al.  Phase Current Unbalance Estimation in Multiphase Buck Converters , 2006, IEEE Transactions on Power Electronics.

[25]  J. Miret,et al.  Simple Low-Cost Hysteretic Controller for Single-Phase Synchronous Buck Converters , 2007, IEEE Transactions on Power Electronics.

[26]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

[27]  G. Wester Describing-function analysis of a ripple regulator with slew-rate limits and time delays , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[28]  S. Poulsen,et al.  Self oscillating PWM modulators, a topological comparision , 2004, Conference Record of the Twenty-Sixth International Power Modulator Symposium, 2004 and 2004 High-Voltage Workshop..

[29]  A. Rozman,et al.  Band pass current control , 1994, Proceedings of 1994 IEEE Applied Power Electronics Conference and Exposition - ASPEC'94.

[30]  Thomas H. Lee,et al.  The Design of CMOS Radio-Frequency Integrated Circuits: RF CIRCUITS THROUGH THE AGES , 2003 .

[31]  Chung-Hsien Tso,et al.  A ripple control buck regulator with fixed output frequency , 2003, IEEE Power Electronics Letters.

[32]  L. Risbo,et al.  A 240W Monolithic Class-D Audio Amplifier Output Stage , 2006, 2006 IEEE International Solid State Circuits Conference - Digest of Technical Papers.

[33]  Chunping Song,et al.  Accuracy Analysis of Multiple-Phase Hysteretic Current-Mode DC-DC Converters , 2007, 2007 IEEE Power Electronics Specialists Conference.

[34]  Lars Risbo Discrete-time Modeling of Continuous-time Pulse Width Modulator Loops , 2005 .

[35]  C.K. Tse,et al.  Adaptive feedforward and feedback control schemes for sliding mode controlled power converters , 2006, IEEE Transactions on Power Electronics.