SLVSGS7 Data sheet

SLVSGS7D July 2023 – June 2024 TPSM8287A06 , TPSM8287A10 , TPSM8287A12 , TPSM8287A15

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RDW|39
- MPQF792A

Thermal pad, mechanical data (Package|Pins)

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9.2.2.5 Selecting the Compensation Capacitor, C_Comp1

First, use Equation 54 to calculate the bandwidth of the inner loop:

Equation 25.

{B W}_{I N N E R} = \frac{τ}{2 π \times \frac{L}{Nɸ} \times C_{O U T}}

Equation 26.

{B W}_{I N N E R} = \frac{12.5 \times 10^{- 6}}{2 π \times \frac{100 \times 10^{- 9}}{1} \times 192 \times 10^{- 6}} = 104 k H z

Next, calculate the product of g_mR_Comp1:

Equation 27.

g_{m} \times R_{Comp1} = 1.5 \times 10^{- 3} \times 806 = 1.21

If g_mR_Comp1 > than 1, use Equation 57 to calculate the recommended value of C_Comp1, which sets a zero in the control loop. If g_mR_Comp1 < 1, use Equation 59 to calculate the recommended value of C_Comp1.

Equation 28.

C_{Comp1} = \frac{2}{π \times {B W}_{I N N E R} \times g_{m} \times {R_{Comp1}}^{2}}

Equation 29.

C_{Comp1} = \frac{2}{π \times 104 \times 10^{3} \times 1.5 \times 10^{- 3} \times {(806)}^{2}} = 6.31 n F

The closest standard value is 6.8 nF.

Equation 30.

C_{Comp1} = \frac{2 \times g_{m}}{π \times {B W}_{I N N E R}}

Equation 60 approximates the loop bandwidth.

Equation 31.

B W = {B W}_{INNER} \times 2 \times (1 + R_{C o m p 1} \times g_{m})

Equation 32.

B W = 104 \times 10^{3} \times 2 \times (1 + 806 \times 1.5 \times 10^{- 3}) = 458 k H z

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Orderable Information

9.2.2.5 Selecting the Compensation Capacitor, CComp1

9.2.2.5 Selecting the Compensation Capacitor, C_Comp1