NCP5391
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22
Inductor Current Sense Compensation
The NCP5391 uses the inductor current sensing method.
This method uses an RC filter to cancel out the inductance
of the inductor and recover the voltage that is the result of
the current flowing through the inductor's DCR. This is
done by matching the RC time constant of the current sense
filter to the L/DCR time constant. The first cut approach is
to use a 0.47 F capacitor for C and then solve for R.
Rsense(T) +
L
0.47·F·DCR
25C
·(1 ) 0.00393·C
-1
·(T- 25·C))
(eq. 8)
Figure 16.
The demoboard inductor measured 350 nH and 0.75 m
at room temp. The actual value used for Rsense was 953
which matches the equation for Rsense at approximately
50C. Because the inductor value is a function of load and
inductor temperature final selection of R is best done
experimentally on the bench by monitoring the Vdroop pin
and performing a step load test on the actual solution.
It is desirable to keep the Rsense resistor value below
1.0 k whenever possible by increasing the capacitor values
in the inductor compensation network. The bias current
flowing out of the current sense pins is approximately
100 nA. This current flows through the current sense
resistor and creates an offset at the capacitor which will
appear as a load current at the Vdroop pin. A 1.0 k resistor
will keep this offset at the droop pin below 2.5 mV.
Simple Average PSPICE Model
A simple state average model shown in Figure 17 can be
used to determine a stable solution and provide insight into
the control system.
Figure 17.
+
-
+
-
-
+
VRamp_min
1.3 V
+
-
E
E1
GAIN = 6
0
Vin
12
0
12
0
L
12
(250e-9/3)
DCR
(0.85e-3/3)
Voff
RDRP
5.11 k
CH
22 p
RF
4.3 k
CF
1.5 n
+
-
1E3
R6
1 k
Unity
Gain
BW = 15 MHz
C3
10.6 n
0
Voffset
-
+
-
+
0
-
+
0
+
-
VDAC
1.25 V
CFB1
RFB1
680 p
100
RFB
1 k
RBRD
0.75 m
LBRD
12
100 p
CBulk
(560e-6*10)
ESRBulk
(7e-3/10)
ESLBulk
(3.5e-9/10)
2
1
+
-
I2
TD = 10u
TF = 50n
PW = 40u
PER = 80u
I1 = 10
I2 = 110
TR = 50n
+
-
1Aac
0Adc
ESRCer
(1.5e-3/18)
ESLCer
(1.5e-9/18)
1
CCer
(22e-6*18)
2
0
3
Voff
1.3
Vout
NCP5391
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23
A complex switching model is available by request
which includes a more detailed board parasitic for this
demo board.
Compensation and Output Filter Design
The values shown on the demo board are a good place to
start for any similar output filter solution. The dynamic
performance can then be adjusted by swapping out various
individual components.
If the required output filter and switching frequency are
significantly different, it's best to use the available PSPICE
models to design the compensation and output filter from
scratch.
The design target for this demo board was 1.0 m out to
2.0 MHz. The phase switching frequency is currently set to
300 kHz. It can easily be seen that the board impedance of
0.75 m between the load and the bulk capacitance has a
large effect on the output filter. In this case the ten 560 F
bulk capacitors have an ESR of 7.0 m. Thus the bulk ESR
plus the board impedance is 0.7 m + 0.75 m or
1.45 m. The actual output filter impedance does not drop
to 1.0 m until the ceramic breaks in at over 375 kHz. The
controller must provide some loop gain slightly less than
one out to a frequency in excess 300 kHz. At frequencies
below where the bulk capacitance ESR breaks with the
bulk capacitance, the DC-DC converter must have
sufficiently high gain to control the output impedance
completely. Standard Type-3 compensation works well
with the NCP5391. RFB1 should be kept above 50 for
amplifier stability reasons.
The goal is to compensate the system such that the
resulting gain generates constant output impedance from
DC up to the frequency where the ceramic takes over
holding the impedance below 1.0 m. See the example of
the locations of the poles and zeros that were set to optimize
the model above.
-100
-80
-60
-40
-20
0
20
40
60
80
100 1000 10000 100000 1000000 10000000
Frequency
dB
Zout Open Loop
Zout Closed Loop
Open Loop Gain with Current loop Closed
Voltage Loop Compensation Gain
RF/RFB
RF/RFB1
1/(2*PI*CF*RF)
1/(2*PI*(RBRD+ESRBulk)*CBulk)
1/(2*PI*SQRT(ESL_Cer*CCer))
1mOhm
1/(2*PI*CCer*(RBRD+ESRBulk))
1/(2*PI*CFB1*(RFB1+RFB))
Error Amp
Open Loop
Gain
1/(2*PI*RF*CH)
Figure 18.
By matching the following equations a good set of starting compensation values can be found for a typical mixed bulk
and ceramic capacitor type output filter.
1
2·CF·RF
+
1
2·(RBRD ) ESRBulk)·CBulk
(eq. 9)
1
2·CFBI·(RFBI ) RFB)
+
1
2·CCer * (RBRD ) ESRBulk)
NCP5391
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RFB is always set to 1.0 k and RFB1 is usually set to
100 for maximum phase boost. The value of RF is
typically set to 4.0 k.
Droop Injection and Thermal Compensation
The VDRP signal is generated by summing the sensed
output currents for each phase and applying a gain of
approximately six. VDRP is externally summed into the
feedback network by the resistor RDRP. This induces an
offset which is proportional to the output current thereby
forcing the controlled resistive output impedance.
RRDP determines the target output impedance by the
basic equation:
(eq.
10)
Vout
Iout
+ Zout +
RFB·DCR·5.94
RDRP
RDRP +
RFB·DCR·5.94
Zout
The value of the inductor's DCR varies with temperature
according to the following equation 10:
DCR
Tmax
+ DCR
25C
·(1 ) 0.00393·C
-1
(T
Tmax
- 25·C))
(eq. 11)
The system can be thermally compensated to cancel this
effect out to a great degree by adding an NTC (negative
temperature coefficient resistor) in parallel with RFB to
reduce the droop gain as the temperature increases. The
NTC device is nonlinear. Putting a resistor in series with the
NTC helps make the device appear more linear with
temperature. The series resistor is split and inserted on both
sides of the NTC to reduce noise injection into the feedback
loop. The recommended value for RISO1 and RISO2 is
approximately 1.0 k.
The output impedance varies with inductor temperature by the equation:
Zout(T) +
RFB·DCR
25C
·(1 ) 0.00393·C
-1
(T
max
- 25C))·5.94
Rdroop
(eq. 12)
By including the NTC RT2 and the series isolation resistors the new equation becomes:
Zout(T) +
RFB·(RISO1)RT2(T))RISO2)
RFB)RISO1)RT2(T))RISO2
·DCR
25C
·(1 ) 0.00393·C
-1
(T
max
- 25C))·5.94
Rdroop
(eq. 13)
The typical equation of a NTC is based on a curve fit
equation 13.
(eq. 14)
RT2(T) + RT2
25C
·
e
ƪǒ
1
273 ) T
Ǔ
*
ǒ
1
298
Ǔ
ƫ
The demo board is populated with a 10 k NTC with a
Beta of 4300. Figure 19 shows the uncompensated and
compensated output impedance versus temperature.
Figure 19. Uncompensated and Compensated Output
Impedance vs. Temperature
ON Semiconductor provides an excel spreadsheet to
help with the selection of the NTC. The actual selection of
the NTC will be effected by the location of the output
inductor with respect to the NTC and airflow, and should
be verified with an actual system thermal solution.
OVP
The overvoltage protection threshold is not adjustable.
OVP protection is enabled as soon as soft-start begins and
is disabled when the part is disabled. When OVP is tripped,
the controller commands all four gate drivers to enable
their low side MOSFETs, and VR_RDY transitions low.
The OVP is non-latching and auto recovers. The OVP
circuit monitors the output of DIFFOUT. If the DIFFOUT
signal reaches 180 mV above the nominal 1.3 V offset the
OVP will trip. The DIFFOUT signal is the difference
between the output voltage and the DAC voltage plus the
1.3 V internal offset. This results in the OVP tracking the
DAC voltage even during a dynamic change in the VID
setting during operation.
Gate Driver and MOSFET Selection
ON Semiconductor provides the companion gate driver
IC (NCP3418B). The NCP3418B driver is optimized to
work with a range of MOSFETs commonly used in CPU
applications. The NCP3418B provides special
functionality and is required for the high performance
dynamic VID operation of the part. Contact your local
ON Semiconductor applications engineer for MOSFET
recommendations.
Board Stack-Up
The demo board follows the recommended Intel
Stack-up and copper thickness as shown.

NCP5391MNR2G

Mfr. #:
Manufacturer:
ON Semiconductor
Description:
IC REG CTRLR INTEL 3OUT 32QFN
Lifecycle:
New from this manufacturer.
Delivery:
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