SLVSHS7A October 2024 – June 2025 TPSI31P1-Q1
PRODUCTION DATA
The battery voltage (VBAT), link capacitance (CDC_LINK), along with the target pre-charge time determines the average charging current (IAVG) required. This may be computed as follows:
The average current is defined as:
The peak current, IPEAK, represents the maximum current through the inductor, and is defined by:
Similarly, the minimum current, IMIN, represents the minimum current through the inductor, and is defined by:
Therefore, to find the shunt resistor, RSENSE, required to properly set the inductor current, the following equation can be used:
For this design, RSENSE was selected as 140mΩ.
The peak inductor current is computed as:
The minimum inductor current is computed as:
The average inductor current is computed as:
During pre-charge, due to the hysteretic control, the switching frequency of the FET changes over time as the voltage on the link capacitance increases from fully discharged to fully pre-charged. The maximum switching frequency, fSW_MAX_FET, occurs when the voltage on the link capacitance reaches its midpoint value, VBAT/2. This occurs at half the total pre-charge time.
The minimum power transfer of the TPSI31P1-Q1 is limited to 55mW. Since the FET is switching during pre-charge, the total gate charge of the FET must be fully charged and discharged each switching cycle. This minimum power transfer constrains the maximum frequency the TPSI31P1-Q1 can switch the FET. The FET selected has a total gate charge, QTOTAL, of 14nC. Assuming VGS = 15V to ensure full enhancement of the FET, the maximum switching frequency is:
Based on the maximum switching frequency, the minimum inductance, LMIN, can be computed:
For this design, an inductor value of 100μH was selected. It is important that an inductor be chosen that can support the average and peak currents required. Higher inductor and higher ripple current values reduce the switching frequency and power requirements.