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Power Stage Parameter Estimation and Digital Controller Design for SMPS with the Use of Limit Cycle Oscillation Zhenyu Zhao, Aleksandar Prodic. Energy System Group University of Toronto. Fast design & programming flexibility in digitally controlled SMPS Controller auto-tuning.

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Laboratory for Low-Power Management

and Integrated SMPS

Power Stage Parameter Estimation and Digital Controller Design for SMPS with the Use of Limit Cycle OscillationZhenyu Zhao, Aleksandar Prodic

Energy System Group

University of Toronto


Laboratory for Low-Power Management

and Integrated SMPS

  • Fast design & programming flexibility in digitally controlled SMPS

    • Controller auto-tuning

Project Introduction


Laboratory for Low-Power Management

and Integrated SMPS

Limit-Cycle Oscillations (LCO) in SMPS

  • Reason for LCO in SMPS

    • Resolution mismatch of two quantizers

      • analog-to-digital converter (ADC)

      • digital pulse width modulator (DPWM)


Laboratory for Low-Power Management

and Integrated SMPS

Limit-Cycle Oscillations (LCO) in SMPS

  • System parameters can be extracted from LCO features

    • LCO Features: amplitude, frequency etc.

    • System parameters: load, output capacitance, input voltage and inductance etc.

  • Practical implementation

    • Look-up tables


Construction of look up tables from relationship diagram 1

Laboratory for Low-Power Management

and Integrated SMPS

Construction of Look-up tables from relationship Diagram (1)

LCO Amplitude

LCO Frequency

R

C

R

C


Experimental vs theoretical 1

Laboratory for Low-Power Management

and Integrated SMPS

Experimental vs Theoretical (1)

LCO Frequency

LCO Amplitude

R

R


Laboratory for Low-Power Management

and Integrated SMPS

Experimental results

  • Output voltage during auto-tuning upon sudden change of output capacitance


Laboratory for Low-Power Management

and Integrated SMPS

Bandwidth Controlled PID Auto-tuning for SMPS

  • Two test phases to meet bandwidth requirements

    • Tuning PID zeros

    • Tuning PID gain


Laboratory for Low-Power Management

and Integrated SMPS

Conclusions

  • A new digital system that allows introduction of auto-tuning in low-power dc-dc switching converters is presented.

  • System parameters are identified using information of limit cycle oscillations that is intentionally introduced.

  • Effective auto-tuning of PID controller provides fast control over a large range of system parameters.


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