SLUAAJ0 February   2024 TPS51397A , TPS54308 , TPS54320 , TPS54350 , TPS54620 , TPS54622 , TPS54821 , TPS54824 , TPS563300 , TPS566231 , TPS566235 , TPS566238 , TPS568230 , TPS56C215 , TPS62933 , TPS62933F , TPS62933O

 

  1.   1
  2.   Abstract
  3.   Trademarks
  4. 1Introduction
  5. 2Comparison of Feedback Sense Methods with Second Stage Filter
  6. 3Transfer Function Derivation of PCM Converter with Second Stage Filter and Hybrid Sense
  7. 4Overall Loop Model
  8. 5Zero and Pole Analysis
  9. 6Stability Design Method
  10. 7Design Example and Experimental Validation with TPS62933F
  11. 8Summary
  12. 9References
  13.   A Appendix

Design Example and Experimental Validation with TPS62933F

Figure 7-1 is a proposed design flow for PCM converter with second stage filter. All the inductance and capacitance used in calculation are effective value considering degrading.

To clarify, fcross≤fSW/10 for (Co+C2) calculation in Figure 7-1 is a conservative restriction to simplify the design flow. The bandwidth can be set higher according to actual conditions.

GUID-20231017-SS0I-JBSD-SSPR-M86H281TTPT4-low.svg Figure 7-1 Design Flow Chart of PCM Converter with Second Stage Filter

A design example is given with operating condition as: Vin=24V, Vout=1.2V, fsw=500kHz, Iout=3A. Targeted output ripple pk-pk amplitude Vo2-ripple-target is smaller than 1mV.

Based on the Equation 16 in TPS62933F data sheet, L=2.2uH is selected with K=0.345 (K is the ripple ratio of the inductor current: ΔIL / IOUT_MAX).

With Equation 26 for TPS62933F, we can get the lower limitation of (Co+C2) as 105.8uF by setting fcross=50kHz, which equals to fSW/10. This set bandwidth is also much larger than fZ-EA of TPS62933F 10.6kHz[5].

Pre-select Co=69uF (47uF+22uF) and C2=47uF. The estimated fcross is 45.6kHz with Equation 26.

Calculate L2 lower limit with equation 7 in Part I SLVAFD4: L2≥8.2nH.

Calculate L2 upper limit with Equation 24 in this application note: L2<109nH.

Here we select two ferrite beads for verification of both limits: BLE18PS080SN1 with 15.3nH@1MHz close to lower limit and BLM18SN220TN1 with 103.4nH@1MHz close to upper limit.

For the feedback network, firstly select R1=5kΩ and R2=10kΩ following equation (1) in TPS62933F data sheet. Using the tool in appendix A for making fZff > fcross, we can get Cff=620pF corresponding to fZff=48.3kHz for the case with L2=15.3nH, and Cff=470pF corresponding to fZff=47.4kHz for the case with L2=103.4nH.

Figure 7-2 to Figure 7-4 show the experimental verification results of the power design with BLE18PS080SN1. The ripple amplitude is within 1mVpp in Figure 7-3 and can satisfy the requirement. Figure 7-4 is the load transient waveform when changing output current from 0.75A (25% of 3A) to 2.25A (75% of 3A) with 2.5A/us slew rate, which shows the good loop response.

GUID-20231017-SS0I-P1PP-C8ZK-NHRSK018FB2S-low.svgFigure 7-2 First Stage Output Voltage Ripple in the Case with BLE18PS080SN1 (L2=15.3nH at 1MHz)
GUID-20231017-SS0I-5BGT-KK54-KSDH9WDVFZVJ-low.svgFigure 7-4 Load Transient Performance (0.75A/2.25A) in the Case with BLE18PS080SN1 (L2=15.3nH at 1MHz)
GUID-20231017-SS0I-7SKQ-VKMQ-8FD5HQCFCXZ4-low.svgFigure 7-3 Second Stage Output Voltage Ripple in the Case with BLE18PS080SN1 (L2=15.3nH at 1MHz)

Figure 7-5 to Figure 7-7 show the experimental verification results of the power design with BLM18SN220TN1. With larger L2 value, the ripple amplitude is further reduced to within 1mVpp in Figure 7-6. Figure 7-7 is the load transient waveform when changing output current from 0.75A (25% of 3A) to 2.25A (75% of 3A) with 2.5A/us slew rate, which shows the good loop response. The details can be found in TI reference design 3.8V to 30V Input, 3A, 1.2V Low-Output-Ripple Power Supply With Second Stage Filter Reference Design.

GUID-20231017-SS0I-XXDF-TCBR-6JWZCGZJZQWB-low.svgFigure 7-5 First Stage Output Voltage Ripple in the Case with BLM18SN220TN1 (L2=103.4nH at 1MHz)
GUID-20231017-SS0I-8KNS-R0C9-VRTSTSF01WQT-low.svgFigure 7-6 Second Stage Output Voltage Ripple in the Case with BLM18SN220TN1 (L2=103.4nH at 1MHz)
GUID-20231017-SS0I-KW6Q-NCGX-SGCKZGTTMBRL-low.svg Figure 7-7 Load Transient Performance (0.75A/2.25A) in the Case with BLM18SN220TN1 (L2=103.4nH at 1MHz)