SLVSGM3B March 2023 – January 2024 TPS56836 , TPS56837 , TPS56838
PRODUCTION DATA
The LC filter used as the output filter has double pole at:
At low frequencies, the overall loop gain is set by the output set-point resistor divider network and the internal gain of the device. The low frequency phase is 180 degrees. At the output filter pole frequency, the gain rolls off at a –40dB per decade rate and the phase drops rapidly. D-CAP3 control mode introduces a high frequency zero that reduces the gain roll off to –20dB per decade and increases the phase to 90 degrees one decade above the zero frequency. The inductor and capacitor for the output filter must be selected so that the double pole of Equation 7 is located below the high frequency zero but close enough that the phase boost provided be the high frequency zero provides adequate phase margin for a stable circuit. To meet this requirement use the values recommended in Table 7-2.
Switching Frequency (kHz) | Output Voltage(1) (V) | R6(2)(kΩ) | R7 (kΩ) | L1 (µH) | COUT(3) | C10 (4)(pF) | ||
---|---|---|---|---|---|---|---|---|
Minimum | Typical | Maximum | ||||||
500 | 1.05 | 7.5 | 10 | 1 | 22uF × 1 | 22uF × 3 | 22uF × 10 | |
1.8 | 20 | 10 | 1.5 | 22uF × 1 | 22uF × 3 | 22uF × 10 | ||
3.3 | 45.3 | 10 | 2.2 | 22uF × 1 | 22uF × 3 | 22uF × 10 | 100-200 (150 typical) | |
5 | 73.2 | 10 | 3.3 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 100-200 (150 typical) | |
9 | 140 | 10 | 4.7 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 50-150 (100 typical) | |
12 | 383 | 20 | 5.6 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 30-100 (30 typical) | |
800 | 1.05 | 7.5 | 10 | 0.68 | 22uF × 1 | 22uF × 3 | 22uF × 10 | |
1.8 | 20 | 10 | 1 | 22uF × 1 | 22uF × 3 | 22uF × 10 | ||
3.3 | 45.3 | 10 | 1.5 | 22uF × 1 | 22uF × 3 | 22uF × 10 | 100-200 (150 typical) | |
5 | 73.2 | 10 | 2.2 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 100-200 (150 typical) | |
9 | 140 | 10 | 3.3 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 50-150 (100 typical) | |
12 | 383 | 20 | 3.3 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 30-100 (30 typical) | |
1200 | 1.05 | 7.5 | 10 | 0.47 | 22uF × 1 | 22uF × 3 | 22uF × 10 | |
1.8 | 20 | 10 | 0.68 | 22uF × 1 | 22uF × 3 | 22uF × 10 | ||
3.3 | 45.3 | 10 | 1 | 22uF × 1 | 22uF × 3 | 22uF × 10 | 100-200 (150 typical) | |
5 | 73.2 | 10 | 1.5 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 1100-200 (150 typical) | |
9 | 140 | 10 | 2.2 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 50-150 (100 typical) | |
12 | 383 | 20 | 2.2 | 22uF × 1 | 22uF × 2 | 22uF × 10 | 30-100 (30 typical) |
The inductor peak-to-peak ripple current, peak current and RMS current are calculated using Equation 8, Equation 9, and Equation 10. The inductor saturation current rating must be greater than the calculated peak current and the RMS or heating current rating must be greater than the calculated RMS current.
Use 500kHz for fSW. Make sure the chosen inductor is rated for the peak current of Equation 9 and the RMS current of Equation 10.
For this design example, the calculated peak current is 9.13A and the calculated RMS current is 8.03A. The inductor used is Wurth 744325330 with saturation current 15A and rating current 9.7A.
The capacitor value and ESR determines the output voltage ripple. The TPS56837 is intended to use with ceramic or other low ESR capacitors. Use Equation 11 to determine the required RMS current rating for the output capacitor.
For this design, two MuRata GRM32ER71E226KE15L 22µF output capacitors are used so that the effective capacitance is 35µF at DC biased voltage of 5V. The calculated RMS current is 0.63A and each output capacitor is rated for 4A.