SLVSGC5 Data sheet

SLVSGC5B January 2023 – May 2024 TPS62870 , TPS62871 , TPS62872 , TPS62873

PRODUCTION DATA

10.2.2.5 Selecting the Compensation Capacitor, C_C

First, use Equation 17 to calculate the bandwidth of the inner loop:

Equation 17.

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

Equation 18.

{B W}_{I N N E R} = \frac{12.5 \times 10^{- 6}}{2 π \times \frac{110 \times 10^{- 9}}{1} \times 203.2 \times 10^{- 6}} = 89 k H z

Next, calculate the product of g_mR_Z:

Equation 19.

g_{m} \times R_{Z} = 1.5 \times 10^{- 3} \times 2.4 \times 10^{3} = 3.6

If g_mR_Z > than 1, use Equation 20 to calculate the recommended value of C_C. If g_mR_Z < 1, use Equation 22 to calculate the recommended value of C_C.

Equation 20.

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

Equation 21.

C_{C} = \frac{2}{π \times 89 \times 10^{3} \times 1.5 \times 10^{- 3} \times {(2.4 \times 10^{3})}^{2}} = 0.828 n F

The closest standard value from the E12 series is 0.82nF.

Equation 22.

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

10.2.2.5 Selecting the Compensation Capacitor, CC

10.2.2.5 Selecting the Compensation Capacitor, C_C