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Design                                                                                                 Design


          increases as the inductance (L) is reduced. As ω     CASE STUDY – THE MPQ4430
                                                         L
          increases, the phase delay caused by this pole is    Let’s explore these principles in a real part. The
          also pushed further out from the BW frequency.       MPQ4330 from MPS is a 36V, 3.5A, synchro-
          The reduction in the negative phase induced by       nous step-down converter with integrated FETs
          this pole results in an increase in the system’s     and integrated compensation network. Figure 3
          overall phase, and consequently the system’s PM.     shows the typical application schematic of the
                                                               MPQ4430 and the internal compensation net-
          Therefore, if COMP-Z is set based on the mini-       work. The switching frequency is set using a
          mum configurable switching frequency, the Phase      resistor at the FREQ pin. Based on the resistor
          Margin (PM) will increase as the switching fre-      value, the switching frequency of this part can

          quency increases.                                    range between 350kHz and 2.5MHz.
 Figure 3: The MPQ4430 Typical Application and Internal Compensation Network.
          Unlike COMP-Z, the COMP-P frequency is set           Since the switching frequency is configurable in this
 PARTS WITH CONFIGURABLE   ▶    COMP-P is set based on the maximum con-  based on the maximum configurable switching   part, the approach discussed in the previous section
 SWITCHING FREQUENCY  figurable switching frequency.  frequency. As discussed earlier, the magnitude/  must be followed. COMP-Z must be set based on

 Similar approaches can be applied to parts with   angle due to a pole starts descending at 10% of   the minimum switching frequency, which is 350kHz.
 configurable switching frequencies, as long as   COMP-Z is set based on the minimum configur-  the frequency of that pole. Let’s assume that

 two critical points are considered:  able switching frequency because as the switch-  f COMP-P  was set based on the minimum switch-  Assuming a 350kHz switching frequency, the
 ing frequency increases, the inductor size is re-  ing frequency. Now, if the part was configured to   target BW would be 10% of that, which is 35kHz.
 ▶    COMP-Z is set based on the minimum con-  duced proportionally. When looking at the second   operate at the maximum switching frequency,   Now, let’s calculate the COMP-Z frequency based
 figurable switching frequency.  pole in a PCM buck regulator power stage (repre-  the phase reduction due to f COMP-P  (which starts   on the compensation network passive compo-
 sented by Equation (2)), the pole frequency (ω )   taking effect from 0.1 x f COMP-P ) would occur inside   nents. In this part, R COMP  and C COMP  are 460kΩ and
 L
          its BW. This is not recommended, as it places an-    52pF, respectively. Using Equation (6), this results
          other pole inside the BW. Since there is only one    in f COMP-Z  being 6.6kHz. This value is within the ac-
          zero available in a Type II compensation network,    ceptable range of 4kHz to 8kHz based on Equa-
          it cannot compensate for this pole. Therefore,       tion (9), which means the first requirement is met.

          the COMP-P frequency must be set based on the
          maximum switching frequency of the part.             Next, the COMP-P frequency is checked against




























 Figure 4: Bode Diagram of MPQ4430 at Three Switching Frequencies.

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