CS51313
Step 8: Control IC Power Dissipation
The power dissipation of the IC varies with the MOSFETs
used, VCC, and the CS51313 operating frequency. The
average MOSFET gate charge current typically dominates
the control IC power dissipation.
The IC power dissipation is determined by the formula:
PCONTROLIC + ICCVCC ) PGATE(H) ) PGATE(L)
where:
PCONTROLIC = control IC power dissipation;
ICC = IC quiescent supply current;
VCC = IC supply voltage;
PGATE(H) = upper MOSFET gate driver (IC) losses;
PGATE(L) = lower MOSFET gate driver (IC) losses.
The upper (switching) MOSFET gate driver (IC) losses
are:
PGATE(H) + QGATE(H) FSW VGATE(H)
where:
PGATE(H) = upper MOSFET gate driver (IC) losses;
QGATE(H) = total upper MOSFET gate charge;
FSW = switching frequency;
VGATE(H) = upper MOSFET gate voltage.
The lower (synchronous) MOSFET gate driver (IC)
losses are:
PGATE(L) + QGATE(L) FSW VGATE(L)
where:
PGATE(L) = lower MOSFET gate driver (IC) losses;
QGATE(L) = total lower MOSFET gate charge;
FSW = switching frequency;
VGATE(L) = lower MOSFET gate voltage.
The junction temperature of the control IC is primarily a
function of the PCB layout, since most of the heat is removed
through the traces connected to the pins of the IC.
Step 9: Slope Compensation
Voltage regulators for today’s advanced processors are
expected to meet very stringent load transient requirements.
One of the key factors in achieving tight dynamic voltage
regulation is low ESR at the CPU input supply pins. Low
ESR at the regulator output results in low output voltage
ripple. The consequence is, however, that there’s very little
voltage ramp at the control IC feedback pin (VFB) and
regulator sensitivity to noise and loop instability are two
undesirable effects that can surface. The performance of the
CS51313−based CPU VCC(CORE) regulator is improved
when a fixed amount of slope compensation is added to the
output of the PWM Error Amplifier (COMP pin) during the
regulator Off−Time. Referring to Figure 14, the amount of
voltage ramp at the COMP pin is dependent on the gate
voltage of the lower (synchronous) FET and the value of
resistor divider formed by R1and R2.
ǒ Ǔ VSLOPECOMP + VGATE(L)
R2
R1 ) R2
ǒ1.0 * e *t tǓ
where:
VSLOPECOMP = amount of slope added;
VGATE(L) = lower MOSFET gate voltage;
R1, R2 = voltage divider resistors;
t = tOFF (switch off−time);
τ = RC constant determined by C1 and the parallel
combination of R1, R2 (Figure 14), neglecting the low
driver output impedance
The artificial voltage ramp created by the slope
compensation scheme results in improved control loop
stability provided that the RC filter time constant is smaller
than the off−time cycle duration (time during which the
lower MOSFET is conducting).
Step 10: Selection of Current Limit Filter Components
The current limit filter is implemented by a 0.1 μF ceramic
capacitor across and two 510 Ω resistors in series with the
VFB and VOUT current limit comparator input pins. They
provide a time constant τ = RC = 100 μs, which enables the
circuit to filter out noise and be immune to false triggering,
caused by sudden and fast load changes. These load
transients can have slew rates as high as 20 A/μs.
“DROOP” RESISTOR FOR ADAPTIVE VOLTAGE
POSITIONING AND CURRENT LIMIT
Adaptive voltage positioning is used to help keep the
output voltage within specification during load transients.
To implement adaptive voltage positioning a “Droop
Resistor” must be connected between the output inductor
and output capacitors and load. This resistor carries the full
load current and should be chosen so that both DC and AC
tolerance limits are met. An embedded PC trace resistor has
the distinct advantage of near zero cost implementation.
However, this droop resistor can vary due to three reasons:
1) the sheet resistivity variation caused by variation in the
thickness of the PCB layer; 2) the mismatch of L/W; and 3)
temperature variation.
1) Sheet Resistivity
For one ounce copper, the thickness variation is typically
1.26 mil to 1.48 mil. Therefore the error due to sheet
resistivity is:
1.48 * 1.26
1.37
+"
8.0%
2) Mismatch Due to L/W
The variation in L/W is governed by variations due to the
PCB manufacturing process. The error due to L/W
mismatch is typically 1.0%.
3) Thermal Considerations
Due to I2 × R power losses the surface temperature of the
droop resistor will increase causing the resistance to
increase. Also, the ambient temperature variation will
contribute to the increase of the resistance, according to the
formula:
R + R20[1.0 ) a20(T * 20)]
where:
R20 = resistance at 20°C;
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