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LMR14050-Q1: how does equation 13 and 14 come from?

Elec Cheng
Expert 7055 points
Part Number: LMR14050-Q1

Hi Expert,

I see in datasheet below. Could you please tell how equation 13 and 14 come from? Thanks.

BR,

Elec Cheng

  • 0
    TI__Mastermind 27045 points

    Hi Elec,

    Equation 13-----assume it takes 6 cycles for the control loop to regulate inductor current from IOL to IOH, Cout will discharge at current (IOH-IOL)/2 for 6 cycles, then Cout can be calculated accordingly.

    Equation 14------Inductor storage energy is I^2*L/2, Capacitor storage energy is V^2*C/2, this equation delivered by inductor reduced energy is same as it increased in output cap, 

    B R

    Andy