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MP1527DM Datasheet(PDF) 11 Page - Monolithic Power Systems |
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MP1527DM Datasheet(HTML) 11 Page - Monolithic Power Systems |
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11 / 14 page ![]() MP1527 2A, 1.3MHz Step-Up Converter MP1527 Rev 1.8_8/31/05 Monolithic Power Systems, Inc. 11 Monolithic Power Systems There is also a right-half-plane zero (fRHPZ) that exists in all continuous mode (continuous mode means that the inductor current does not drop to zero on each cycle) step-up converters. The frequency of the right half plane zero is: fRHPZ = VIN 2*RLOAD / (2π*L*VOUT2) where L is the value of the inductor. To stabilize the regulation control loop, the crossover frequency (The frequency where the loop gain drop to 0dB or gain of 1, indicated as fC) should be at least one decade below the right-half-plane zero and should be at most 75KHz. fRHPZ is at its lowest frequency at maximum output load current (RLOAD is at a minimum) The crossover frequency is calculated by the equation: fC = AVDC*fP1*fP2 / fZ1 or fC = GCS*GEA*VIN*VFB*R3 / (2π*C2*VOUT 2) The known values are: GCS = 4.3S GEA = 400µS VFB = 1.22V Putting in the known constants: fC = 3.3x10 -4 *VIN *R3/ (C2*VOUT2) If the frequency of the right-half-pane zero fRHPZ is less than 750KHz, then the crossover frequency should be 1/10 of fRHPZ, and determine the compensation resistor (R3) with equation (1). If fRHPZ is greater than or equal to 750KHz, set the crossover frequency to 75KHz with equation (2). For fC = fRHPZ / 10, then R3 = VIN*RLOAD-MIN*C2 / (10GCS*GEA*VFB*L) The minimum load resistance (RLOAD-MIN) is equal to the regulated output voltage (VOUT) divided by the maximum load current ILOAD-MAX. Substituting that into the above equation: R3 = VIN*VOUT*C2 /(10GCS*GEA *VFB*L*ILOAD-MAX) Putting in the known constant values: (1) R3 ≈ 48*VIN*VOUT*C2 / (L*ILOAD-MAX) For fC = 75KHz, fC = (GCS*GEA*VIN*VFB*R3) / (2π*C2*VOUT 2) Solving for R3, R3 = (2π*fC*C2*VOUT 2 / (G CS*GEA*VIN*VFB) Using 75KHz for fC and putting in the other known constants: (2) R3 ≈ 2.2x108*C2*VOUT 2 / V IN The value of the compensation resistor is limited to 10KΩ to prevent overshoot on the output at turn-on. So if the value calculated for R3 from either equation (1) or equation (2) is greater than 10kΩ, use 10KΩ for R3. Choose C3 to set the zero frequency fZ1 to one-fourth of the crossover frequency fC: fZ1 = fC / 4 or 1 /(2π*C3*R3) = GCS*GEA*VIN*VFB*R3 / (8π*C2*VOUT 2) Solving for C3: C3 = 4*C2*VOUT 2 / (G CS*GEA*VIN*VFB*R3 2) Entering the known values gives: |
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