NCV898031
www.onsemi.com
13
2. Select Current Sense Resistor
Current sensing for peak current mode control and current
limit relies on the MOSFET current signal, which is
measured with a ground referenced amplifier. The easiest
method of generating this signal is to use a current sense
resistor from the source of the MOSFET to device ground.
The sense resistor should be selected as follows:
R
S
+
V
CL
I
CL
Where: R
S
: sense resistor [W]
V
CL
: current limit threshold voltage [V]
I
CL
: desire current limit [A]
3. Select Output Inductor
The output inductor controls the current ripple that occurs
over a switching period. A high current ripple will result in
excessive power loss and ripple current requirements. A low
current ripple will result in a poor control signal and a slow
current slew rate in case of load steps. A good starting point
for peak to peak ripple is around 20−40% of the inductor
current at the maximum load at the worst case V
IN
, but
operation should be verified empirically. The worst case V
IN
is half of V
OUT
, or whatever V
IN
is closest to half of V
IN
.
After choosing a peak current ripple value, calculate the
inductor value as follows:
L +
V
IN(WC)
2
D
WC
DI
L,max
f
s
V
OUT
Where: V
IN(WC)
: V
IN
value as close as possible to half of
V
OUT
[V]
D
WC
: duty cycle at V
IN(WC)
DI
L,max
: maximum peak to peak ripple [A]
The maximum average inductor current can be calculated as
follows:
I
L,avg
+
V
OUT
I
OUT(max)
V
IN(min)
The Peak Inductor current can be calculated as follows:
I
L,peak
+ I
L,avg
)
V
IN(min)
2
D
WC
Lf
s
V
OUT
Where: I
L,peak
: Peak inductor current value [A]
4. Select Output Capacitors
The output capacitors smooth the output voltage and
reduce the overshoot and undershoot associated with line
transients. The steady state output ripple associated with the
output capacitors can be calculated as follows:
V
OUT(ripple)
+
DI
OUT(max)
fC
OUT
)
ǒ
I
OUT(max)
1 * D
)
V
IN(min)
D
2fL
Ǔ
R
ESR
The capacitors need to survive an RMS ripple current as
follows:
I
Cout(RMS)
+ I
OUT
D
WC
DȀ
WC
)
D
WC
12
ǒ
DȀ
WC
L
R
OUT
T
SW
Ǔ
2
Ǹ
The use of parallel ceramic bypass capacitors is strongly
encouraged to help with the transient response.
5. Select Input Capacitors
The input capacitor reduces voltage ripple on the input to
the module associated with the ac component of the input
current.
I
Cin(RMS)
+
V
IN(WC)
2
D
WC
Lf
s
V
OUT
23
Ǹ
6. Select Feedback Resistors
The feedback resistors form a resistor divider from the
output of the converter to ground, with a tap to the feedback
pin. During regulation, the divided voltage will equal V
ref
.
The lower feedback resistor can be chosen, and the upper
feedback resistor value is calculated as follows:
R
upper
+ R
lower
ǒ
V
out
* V
ref
Ǔ
V
ref
The total feedback resistance (R
upper
+ R
lower
) should be
in the range of 1 kW – 100 kW.
7. Select Compensator Components
Current Mode control method employed by the
NCV898031 allows the use of a simple, Type II
compensation to optimize the dynamic response according
to system requirements.
8. Select MOSFET(s)
In order to ensure the gate drive voltage does not drop out
the MOSFET(s) chosen must not violate the following
inequality:
Q
g(total)
v
I
drv
f
s
Where: Q
g(total)
: Total Gate Charge of MOSFET(s) [C]
I
drv
: Drive voltage current [A]
f
s
: Switching Frequency [Hz]
The maximum RMS Current can be calculated as follows:
I
Q(max)
+ I
out
D
WC
Ǹ
DȀ
WC
The maximum voltage across the MOSFET will be the
maximum output voltage, which is the higher of the
maximum input voltage and the regulated output voltaged:
V
Q(max)
+ V
OUT(WC)
9. Select Diode
The output diode rectifies the output current. The average
current through diode will be equal to the output current:
I
D(avg)
+ I
OUT(max)
NCV898031
www.onsemi.com
14
Additionally, the diode must block voltage equal to the
higher of the output voltage and the maximum input voltage:
V
D(max)
+ V
OUT(max)
The maximum power dissipation in the diode can be
calculated as follows:
P
D
+ V
f(max)
I
OUT(max)
Where: P
d
: Power dissipation in the diode [W]
V
f(max)
: Maximum forward voltage of the diode [V]
10. Determine Feedback Loop Compensation Network
The purpose of a compensation network is to stabilize the
dynamic response of the converter. By optimizing the
compensation network, stable regulation response is
achieved for input line and load transients.
Compensator design involves the placement of poles and
zeros in the closed loop transfer function. Losses from the
boost inductor, MOSFET, current sensing and boost diode
losses also influence the gain and compensation
expressions. The OTA has an ESD protection structure
(R
ESD
502 W, data not provided in the datasheet) located
on the die between the OTA output and the IC package
compensation pin (VC). The information from the OTA
PWM feedback control signal (V
CTRL
) may differ from the
IC-VC signal if R
2
is of similar order of magnitude as R
ESD
.
The compensation and gain expressions which follow take
influence from the OTA output impedance elements into
account.
Type-I compensation is not possible due to the presence
of R
ESD
. The Figures 12 and 13 compensation networks
correspond to a Type-II network in series with R
ESD
.
The resulting control-output transfer function is an accurate
mathematical model of the IC in a boost converter topology.
The model does have limitations and a more accurate SPICE
model should be considered for a more detailed analysis:
The attenuating effect of large value ceramic capacitors
in parallel with output electrolytic capacitor ESR is not
considered in the equations.
The CCM Boost control-output transfer function
includes operating efficiency as a correction factor to
improve modeling accuracy under low input voltage
and high output current operating conditions where
operating losses becomes significant.
Rds(on)
V
d
L
GND
ISNS
VFB
GDRV
VC
R
i
C
OUT
V
OUT
C
1
R
2
V
CTRL
OTA
V
IN
r
L
r
Cf
C
2
R
OUT
R
ESD
R
0
R
1
R
low
Figure 12. NCV898031 Boost Converter OTA and Compensation
NCV898031
www.onsemi.com
15
Rds(on)
V
d
GND
ISNS
VFB
GDRV
VC
R
i
C
OUT
V
OUT
C
1
R
2
V
CTRL
OTA
V
IN
r
Cf
C
2
R
OUT
R
ESD
R
0
R
1
R
low
L
p
1:N
V
REF
Figure 13. NCV898031 Flyback Converter OTA and Compensation
The following equations may be used to select compensation
components R
2
, C
1
, C
2
for Figures 12 & 13 power supply.
Required input design parameters for analysis are:
V
d
= Output diode V
f
(V)
V
IN
= Power supply input voltage (V)
N = N
s
/N
p
(Flyback transformer turns ratio)
R
i
= Current sense resistor (W)
R
DS(on)
= MOSFET R
DS(on)
(W)
(R
sw_eq
= R
DS(on)
+ R
i
for the boost continuous conduction
mode (CCM) expressions)
C
OUT
= Bulk output capacitor value (F)
r
CF
= Bulk output capacitor ESR (W)
R
OUT
= Equivalent resistance of output load (W)
P
out
= Output Power (W)
L = Boost inductor value or flyback transformer primary
side inductance (H)
r
L
= Boost inductor ESR (W)
T
s
= 1/f
s
, where f
s
= 2 MHz clock frequency
R
1
and R
low
= Feedback resistor divider values used to set the
output voltage (W)
V
OUT
= Device specific output voltage (defined by R
1
and
R
low
values) (V)
R
0
= OTA output resistance = 3 MW
S
a
= IC slope compensation(e.g.34mV/msfor NCV898031)
g
m
= OTA transconductance = 1.2 mS
D = Controller duty ratio
D’ = 1 − D
Necessary equations for describing the modulator gain
(V
ctrl
-to-V
out
gain) H
ctrl_output
(f) are described next. Boost
continuous conduction mode (CCM) and discontinuous
conduction mode (DCM) transfer function expressions are
summarized in Table 1. Flyback CCM and DCM transfer
function expressions are summarized in Table 2.

NCV898031D1R2G

Mfr. #:
Manufacturer:
ON Semiconductor
Description:
Switching Voltage Regulators 2 MHZ SMPS
Lifecycle:
New from this manufacturer.
Delivery:
DHL FedEx Ups TNT EMS
Payment:
T/T Paypal Visa MoneyGram Western Union

Products related to this Datasheet