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XRP7708_12 Datasheet, PDF (20/28 Pages) Exar Corporation – Quad Channel Digital PWM Step Down Controllers
XRP7708 and XRP7740
Quad Channel Digital PWM Step Down Controllers
𝑉𝑜𝑢𝑡
𝑀𝑖𝑛𝑖𝑚𝑢𝑚 𝐷𝑢𝑡𝑦 𝐶𝑦𝑐𝑙𝑒% > 𝑉𝑖𝑛𝑚𝑎𝑥
Maximum Duty Cycle
The maximum duty cycle is dictated by the minimum required time to sample the current when the
low side MOSFET is on. For the XRP7708, the minimum required sampling time is about 16 clock
cycles at the main oscillator frequency. When calculating maximum duty cycle, the sampling time
needs to be subtracted using the below equation. For example, if operating at 1MHz using the
32MHz main oscillator frequency, the maximum duty cycle would be:
16
𝑀𝑎𝑥𝑖𝑚𝑢𝑚
𝐷𝑢𝑡𝑦
𝐶𝑦𝑐𝑙𝑒%
=
�1
−
(
𝑐𝑙𝑜𝑐𝑘
𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦
×
𝑃𝑊𝑀
𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦
−
0.03)�
×
100
≈
47%
On the other hand, if the 48MHz main oscillator frequency was chosen for the 1MHz PWM
frequency, the maximum duty cycle would be:
16
𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝐷𝑢𝑡𝑦 𝐶𝑦𝑐𝑙𝑒% = �1 − (𝑐𝑙𝑜𝑐𝑘 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 × 𝑃𝑊𝑀 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 − 0.03)� × 100 ≈ 64%
Therefore, it is best to choose the highest main oscillator frequency for a particular PWM frequency
if duty cycle limit might be encountered. The maximum duty cycle for any PWM frequency can
easily be determined using the following table:
Main Oscillator Frequency
Maximum Duty Cycle
47%
64%
72%
77%
80%
83%
85%
48MHz 44.8MHz 41.6MHz 38.4MHz 35.2MHz
1.5MHz
1.0MHz
750KHz
600KHZ
500KHz
429KHZ
375KHz
1.4MHz
933KHz
700KHz
560KHz
467KHZ
400KHZ
350KHz
1.3MHz
867KHz
650KHz
520KHz
433KHz
370KHz
325KHz
1.2MHz
800KHz
600KHz
480KHz
400KHz
343KHz
300KHz
1.1MHz
733KHz
550KHz
440KHz
367KHz
314KHz
NA
Fig. 21: PWM Frequency
32MHz
1.0MHz
667KHz
500KHz
400KHz
333KHz
NA
NA
28.8Mhz
900KHz
600KHz
450KHz
360KHz
300KHz
NA
NA
25.6MHz
800KHz
533KHz
400KHz
320KHz
NA
NA
NA
It is highly recommended that the maximum duty cycle obtained from the table above be
programmed into each of the channels using the SET_DUTY_LIMITER_CHx register. This ensures
that under all conditions (including faults), there will always be sufficient sampling time to measure
the output current. When the duty cycle limit is reached, the output voltage will no longer regulate
and will be clamped based on the maximum duty cycle limit setting.
Efficiency
The PWM Switching frequency plays an important role on overall power conversion efficiency. As
the switching frequency increase, the switching losses also increase. Please see the APPLICATION
INFORMATION, Typical Performance Data for further examples.
Component Selection and Frequency
Typically the components become smaller as the frequency increases, as long as the ripple
requirements remain constant. At higher frequency the inductor can be smaller in value and have a
smaller footprint while still maintaining the same current rating.
FREQUENCY SYNCHRONIZATION FUNCTION AND EXTERNAL CLOCK
The user of the XRP7708 can choose to use an external source as the primary clock for the
XRP7708. This function can be configured using the SET_SYNC_MODE_CONFIG register. This
register sets the operation of the XRP7708 when an external clock is required. By selecting the
© 2012 Exar Corporation
20/28
Rev. 1.2.2