Automotive Grade
Non-Synchronous Boost
Controller

NCV8871

The NCV8871 is an adjustable output non−synchronous boost
controller which drives an external N−channel MOSFET. The device
uses peak current mode control with internal slope compensation. The
IC incorporates an internal regulator that supplies charge to the gate
driver.
Protection features include internally−set soft−start, undervoltage

Protection features include internally−set soft−start, undervoltage
lockout, cycle−by−cycle current limiting, hiccup−mode short−circuit
protection and thermal shutdown.
Additional features include low quiescent current sleep mode and

Additional features include low quiescent current sleep mode and
externally−synchronizable switching frequency.

Features
• Peak Current Mode Control with Internal Slope Compensation

• Peak Current Mode Control with Internal Slope Compensation
• 1.2 V ±2% Reference voltage

• 1.2 V ±2% Reference voltage
• Fixed Frequency Operation

• Fixed Frequency Operation
• Wide Input Voltage Range of 3.2 V to 40 Vdc, 45 V Load Dump

• Wide Input Voltage Range of 3.2 V to 40 Vdc, 45 V Load Dump
• Input Undervoltage Lockout (UVLO)

• Input Undervoltage Lockout (UVLO)
• Internal Soft−Start

• Internal Soft−Start
• Low Quiescent Current in Sleep Mode

• Low Quiescent Current in Sleep Mode
• Cycle−by−Cycle Current Limit Protection

• Cycle−by−Cycle Current Limit Protection
• Hiccup−Mode Overcurrent Protection (OCP)

• Hiccup−Mode Overcurrent Protection (OCP)
• Hiccup−Mode Short−Circuit Protection (SCP)

• Thermal Shutdown (TSD)
• NCV Prefix for Automotive and Other Applications Requiring

• Hiccup−Mode Short−Circuit Protection (SCP)
• Thermal Shutdown (TSD)

• NCV Prefix for Automotive and Other Applications Requiring
Unique Site and Control Change Requirements; AEC−Q100
Qualified and PPAP Capable
• This is a Pb−Free Device

• This is a Pb−Free Device

SOIC−8
D SUFFIX
CASE 751

MARKING DIAGRAM

8871xxG = Specific Device Code
xx = 00, 03, 04, 05
A = Assembly Location

A = Assembly Location
L = Wafer Lot

L = Wafer Lot
Y = Year

Y = Year
W = Work Week

W = Work Week
= Pb−Free Package

= Pb−Free Package

PIN CONNECTIONS

ORDERING INFORMATION

| Device | Package | Shipping $ ^{\\dagger}$ |
| --- | --- | --- |
| NCV887100D1R2G | SOIC-8(Pb-Free) | 2500/Tape&Reel |
| NCV887103D1R2G | SOIC-8(Pb-Free) | 2500/Tape&Reel |
| NCV887104D1R2G | SOIC-8(Pb-Free) | 2500/Tape&Reel |
| NCV887105D1R2G | SOIC-8(Pb-Free) | 2500/Tape&Reel |

†For information on tape and reel specifications,
including part orientation and tape sizes, please
refer to our Tape and Reel Packaging Specification
Brochure, BRD8011/D.

* * *

NCV8871

Figure 1. Simplified Block Diagram and Application Schematic

PACKAGE PIN DESCRIPTIONS

| Pin No. | Pin Symbol | Function |
| --- | --- | --- |
| 1 | EN/SYNC | Enable and synchronization input. The falling edge synchronizes the internal oscillator. The part is disabled into sleep mode when this pin is brought low for longer than the enable time-out period. |
| 2 | ISNS | Current sense input. Connect this pin to the source of the external N-MOSFET, through a current-sense resistor to ground to sense the switching current for regulation and current limiting. |
| 3 | GND | Ground reference. |
| 4 | GDRV | Gate driver output. Connect to gate of the external N-MOSFET. A series resistance can be added from GDRV to the gate to tailor EMC performance. |
| 5 | VDRV | Driving voltage. Internally-regulated supply for driving the external N-MOSFET, sourced from VIN. Bypass with a 1.0 μF ceramic capacitor to ground. |
| 6 | VIN | Input voltage. If bootstrapping operation is desired, connect a diode from the input supply to VIN, in addition to a diode from the output voltage to VDRV and/or VIN. |
| 7 | VC | Output of the voltage error amplifier. An external compensator network from VC to GND is used to stabilize the converter. |
| 8 | VFB | Output voltage feedback. A resistor from the output voltage to VFB with another resistor from VFB to GND creates a voltage divider for regulation and programming of the output voltage. |

* * *

NCV8871

ABSOLUTE MAXIMUM RATINGS (Voltages are with respect to GND, unless otherwise indicated)

| Rating | Value | Unit |
| --- | --- | --- |
| Dc Supply Voltage(VIN) | -0.3 to 40 | V |
| Peak Transient Voltage(Load Dump on VIN) | 45 | V |
| Dc Supply Voltage(VDRV,GDRV) | 12 | V |
| Peak Transient Voltage(VFB) | -0.3 to 6 | V |
| Dc Voltage(VC,VFB,ISNS) | -0.3 to 3.6 | V |
| Dc Voltage(EN/SYNC) | -0.3 to 6 | V |
| Dc Voltage Stress(VIN-VDRV)\* | -0.7 to 45 | V |
| Operating Junction Temperature | -40 to 150 | $^{\\circ}C}$ |
| Storage Temperature Range | -65 to 150 | $^{\\circ}C}$ |
| Peak Reflow Soldering Temperature:Pb-Free,60 to 150 seconds at $217^{\\circ}C$ | 265 peak | $^{\\circ}C}$ |

^circ\ \\mathrm{C}

^circ\ \\mathrm{C}

217^{\\circ}\\mathrm{C}

^{\\circ}\\mathrm{C}

Stresses exceeding those listed in the Maximum Ratings table may damage the device. If any of these limits are exceeded, device functionality
should not be assumed, damage may occur and reliability may be affected.
\*An external diode from the input to the VIN pin is required if bootstrapping VDRV and VIN off of the output voltage.

PACKAGE CAPABILITIES

| Characteristic |  | Value | Unit |
| --- | --- | --- | --- |
| ESD Capability(All Pins) | Human Body Model | ≥2.0 | kV |
| Machine Model | ≥200 | V |  |
| Moisture Sensitivity Level |  | 1 | - |
| Package Thermal Resistance | Junction-to-Ambient，RθJA(Note 1) | 100 | °C/W |

\\mathsf{R}\_{\\mathsf{U J A}}

1. 1 in2, 1 oz copper area used for heatsinking.

\ n^{2}

The NCV8871 features several variants to better fit a
multitude of applications. The table below shows the typical

values of parameters for the parts that are currently
available.

| Part No. | Dmax | fs | tss | Sa | Vcl | Isrc | Isink | VDRV | SCE |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| NCV887100 | 88% | 170kHz | 7.4ms | 53mV/μs | 400mV | 800mA | 600mA | 10.5V | Y |
| NCV887103 | 93% | 340kHz | 3.7ms | 53mV/μs | 200mV | 575mA | 350mA | 8.4V | Y |
| NCV887104 | 93% | 340kHz | 3.7ms | 53mV/μs | 200mV | 800mA | 600mA | 8.4V | N |
| NCV887105 | 88% | 170kHz | 7.4ms | 53mV/μs | 400mV | 800mA | 600mA | 10.5V | N |

\\mathbf{D}\_{\\mathsf{m a x}}

\ {tt f f}\_{\\mathrm{s}}

\\mathbf{t\_{s s}}

{\\bf s\_\_a{a}}

\\nabla\_{\\mathbf{c l}}

\ \_{s i n k}

\\mathsf{D}\_{\\mathsf{m a x}}

{\\sf{f}}\_{\\mathrm{s}}

| Symbol | Characteristic | Symbol | Characteristic | Symbol | Characteristic |
| --- | --- | --- | --- | --- | --- |
| Dmax | Maximum Duty Cycle | fs | Switching Frequency | tss | Soft-Start Time |
| Sa | Slope Compensating Ramp | Vcl | Current Limit Trip Voltage | Isrc | Gate Drive Sourcing Current |
| Isink | Gate Drive Sinking Current | VDRV | Drive Voltage | SCE | Short Circuit Enable |

\\mathbf{S\_{a}}

\ \_{\\mathrm{s s}}

\ \_{s i k k}

\ mathrm V{}\_{\\mathrm{c}}\|

\\mathsf{l}\_{\\mathrm{s r c}}

* * *

NCV8871

ELECTRICAL CHARACTERISTICS (−40°C < TJ< 150°C, 3.2 V < VIN < 40 V, unless otherwise specified) Min/Max values are
guaranteed by test, design or statistical correlation.

\\mathsf{V}<\\mathsf{V}\_{\ \ 1\\mathsf{N}}<40,\\mathrm{V}

(-40^{\\circ}C<\_J155^^{\\circ}C,

| Characteristic | Symbol | Conditions | Min | Typ | Max | Unit |
| --- | --- | --- | --- | --- | --- | --- |

| Quiescent Current,Sleep Mode | Iq,sleep | VIN=13.2V,EN=0,TJ=25℃ | - | 2.0 | - | μA |
| --- | --- | --- | --- | --- | --- | --- |
| Quiescent Current,Sleep Mode | Iq,sleep | VIN=13.2V,EN=0,-40℃＜TJ＜125℃ | - | 2.0 | 6.0 | μA |
| Quiescent Current,No switching | Iq,off | Into VIN pin,EN=1,No switching | - | 1.5 | 2.5 | mA |
| Quiescent Current,Switching,normal operation | Iq,on | Into VIN pin,EN=1,Switching | - | 3.0 | 6.0 | mA |

\ \_{\\mathtt{q,s l e e p}}

V\_{N}=13.2V,E N=0,T\_{J}=25^{\\circ}C

\ \_{\\mathtt{q,s l e e p}}

V\_{N}=13.2V,E N=0.-40^C<C<T\_{j}<125^{\\circ}C

\\upmu A

1\_{\\mathfrak{q},\\mathfrak{o H}}

1\_{\\mathfrak{q},\\mathfrak{o n}}

OSCILLATOR

| Minimum pulse width | ton,min |  | 90 | 115 | 140 | ns |
| --- | --- | --- | --- | --- | --- | --- |
| Maximum duty cycle | Dmax | NCV887100 | 86 | 88 | 90 | % |
| NCV887103 | 91 | 93 | 95 |  |  |  |
| NCV887104 | 91 | 93 | 95 |  |  |  |
| NCV887105 | 86 | 88 | 90 |  |  |  |
| Switching frequency | fs | NCV887100 | 153 | 170 | 187 | kHz |
| NCV887103 | 306 | 340 | 374 |  |  |  |
| NCV887104 | 306 | 340 | 374 |  |  |  |
| NCV887105 | 153 | 170 | 187 |  |  |  |
| Soft-start time | tss | From start of switching with VFB=0 until reference voltage=VREF |  |  |  | ms |
| NCV887100 | 6.0 | 7.4 | 8.8 |  |  |  |
| NCV887103 | 3.0 | 3.7 | 4.4 |  |  |  |
| NCV887104 | 3.0 | 3.7 | 4.4 |  |  |  |
| NCV887105 | 6.0 | 7.4 | 8.8 |  |  |  |
| Soft-start delay | tss,dly | From EN→1 until start of switching with VFB=0 | - | 240 | 280 | μs |
| Slope compensating ramp | Sa | NCV887100 | 46 | 53 | 60 | mV/μs |
| NCV887103 | 46 | 53 | 60 |  |  |  |
| NCV887104 | 46 | 53 | 60 |  |  |  |
| NCV887105 | 46 | 53 | 60 |  |  |  |

\ \\mathrm{f}\_{\\mathrm{s}}

\\mathsf{D}\_{\\mathsf{m a x}}

\\mathsf{V}\_{\\mathsf{F B}}=0

\ \_{\\mathrm{s s}}

{\\bf S}\_{\\mathrm{a}}

| EN/SYNC pull-down current | IEN/SYNC | VEN/SYNC=5V | - | 5.0 | 10 | μA |
| --- | --- | --- | --- | --- | --- | --- |
| EN/SYNC input high voltage | Vs,ih | VIN>VUVLO | 2.0 | - | 5.0 | V |
| EN/SYNC input low voltage | Vs,il |  | 0 | - | 800 | mV |
| EN/SYNC time-out ratio | %ten | From SYNC falling edge,to oscillator control(EN high)or shutdown(EN low),Percent of typical switching period | - | - | 350 | % |
| SYNC minimum frequency ratio | %f sync,min | Percent offs | - | - | 80 | % |
| SYNC maximum frequency | f sync,max |  | 1.1 | - | - | MHz |
| Synchronization delay | ts,dly | From SYNC falling edge to GDRV falling edge under open loop conditions | - | 50 | 100 | ns |
| Synchronization duty cycle | Dsync |  | 25 | - | 75 | % |
| CURRENT SENSE AMPLIFIER |  |  |  |  |  |  |

\\mathsf{V}\_{\\mathsf{E N/S Y N C}}=5,\\mathsf{V}

\\mathsf{V}\_{\\mathrm{s,i h}}

\\mathsf{V}\_{\\mathrm{s,i}}\\mathrm{{i}}}}

\\mathsf{V} _{\\mathsf{I N}}>\\mathsf{V}_{\\mathsf{U V L O}}

| Low-frequency gain | Acsa | Input-to-output gain at dc, ISNS≤1V | 0.9 | 1.0 | 1.1 | V/V |
| --- | --- | --- | --- | --- | --- | --- |
| Bandwidth | BWcsa | Gain of Acsa-3dB | 2.5 | - | - | MHz |
| ISNS input bias current | Isns,bias | Out of ISNS pin | - | 30 | 50 | μA |
| Current limit threshold voltage | Vcl | Voltage on ISNS pin |  |  |  | mV |
| NCV887100 | 360 | 400 | 440 |  |  |  |
| NCV887103 | 180 | 200 | 220 |  |  |  |
| NCV887104 | 180 | 200 | 220 |  |  |  |
| NCV887105 | 360 | 400 | 440 |  |  |  |
| Current limit, Response time | tcl | CL tripped until GDRV falling edge, VISNS=Vcl(typ)+60mV | - | 80 | 125 | ns |

\\sf{f}\\Delta\_{c s a}-3sf\ d

\\mathsf{f}\_{\\mathsf{s y n c,m a x}}

\ mathrm V{}\_{\\mathrm{c l}}

\\mathfrak{t}\_{\\mathrm{s}d,\\mathrm{d}}y

\\up{{\\bf f}}\_{\\mathrm{s}}

\\mathfrak{f}\_{\\mathrm{c}}\|

* * *

NCV8871

-40^C<T\_{j}<150^C,3.2V<V\_{N}<40V

| Characteristic | Symbol | Conditions | Min | Typ | Max | Unit |
| --- | --- | --- | --- | --- | --- | --- |

CURRENT SENSE AMPLIFIER

| Overcurrent protection, Threshold voltage | %Vocp | Percent of Vcl | 125 | 150 | 175 | % |
| --- | --- | --- | --- | --- | --- | --- |
| Overcurrent protection, Response Time | tocp | From overcurrent event, Until switching stops，VISNS=VOCP+40mV | - | - | 125 | ns |

%\\mathrm{o}\_{\\mathsf{o c p}}

\ mathrm V{}\_{\\mathrm{c l}}

\\mathfrak{t}\_{0sf{c p}}

V\_{1S S}=V\_{O C P}+40,M V

VOLTAGE ERROR OPERATIONAL TRANSCONDUCTANCE AMPLIFIER

| Transconductance | gm,vea | VFB-Vref=±20mV | 0.8 | 1.2 | 1.63 | mS |
| --- | --- | --- | --- | --- | --- | --- |
| VEA output resistance | Ro,vea |  | 2.0 | - | - | MΩ |
| VFB input bias current | Ivfb,bias | Current out of VFB pin | - | 0.5 | 2.0 | μA |
| Reference voltage | Vref |  | 1.176 | 1.200 | 1.224 | V |
| VEA maximum output voltage | Vc,max |  | 2.5 | - | - | V |
| VEA minimum output voltage | Vc,min |  | - | - | 0.3 | V |
| VEA sourcing current | Isrc,vea | VEA output current,Vc=2.0V | 80 | 100 | - | μA |
| VEA sinking current | Isnk,vea | VEA output current,Vc=0.7V | 80 | 100 | - | μA |

{\\mathfrak{g m}v e a}

\ {sf V V} _{\\sf F B}-{\\sf V}_{\\sf r e f}=\\pm20,{sf m V}

\\mathsf{R}\_{\\mathsf{o0,v e a}}

\ \_{\\mathsf{V f f,b i a s}}

\\upmu A

\\mathsf{V\_\_{\\mathrm{r e f}}}

\\mathsf{V}\_{\\mathsf{c}m a x}

\\mathsf{V}\_{c,m i n}

\ 1\_{\\sf s r c,v e a}

GATE DRIVER

\| Sourcing current \| $I\_{src}$ \| $V\_{DRV}\\geq 6\\text{ V},V\_{DRV}-V\_{GDRV}=2\\text{ V}$
NCV887100
NCV887103
NCV887104
NCV887105 \| 600
400
600
600 \| 800
575
800

800 \| -/-/- \| mA \|
\| \-\-\- \| \-\-\- \| \-\-\- \| \-\-\- \| \-\-\- \| \-\-\- \| \-\-\- \|
\| Sinking current \| $I\_{sink}$ \| $V\_{GDRV}\\geq 2\\text{ V}$
NCV887100
NCV887103
NCV887104
NCV887105 \| 500
250
500
500 \| 600
350
600
600 \| -/-/- \| mA \|
\| Driving voltage dropout \| $V\_{drv,do}$ \| $V\_{IN}-V\_{DRV},I\_{DRV}=25\\text{ mA}$ \| - \| 0.3 \| 0.6 \| V \|
\| Driving voltage source current \| $I\_{drv}$ \| $V\_{IN}-V\_{DRV}=1\\text{ V}$ \| 35 \| 45 \| - \| mA \|
\| Backdrive diode voltage drop \| $V\_{d,bd}$ \| $V\_{DRV}-V\_{IN},I\_{d,bd}=5\\text{ mA}$ \| - \| - \| 0.7 \| V \|
\| Driving voltage \| $V\_{DRV}$ \| $I\_{DRV}=0.1-25\\text{ mA}$
NCV887100
NCV887103
NCV887104
NCV887105 \| 10
8.0
8.0
10 \| 10.5
8.4
8.4
10.5 \| 11
8.8
8.8
11 \| V \|
\| Pull-down resistance \| $R\_{pd}$ \| \| - \| 15 \| - \| k$\\Omega$ \|

\ \_{s i n k}

\\mathsf{V}\_{\\mathsf d r,\\mathsf d o}

V\_{1N}-V\_{D R V},N\_{D R V}=25m A

\\mathsf{V} _{\ 1mathsf}-\\mathsf{V}_{\\mathsf{D R V}}=1\\mathsf{V}

\\mathsf{V}\_{\\mathsf{d,b,}\\mathsf{d}}

UVLO

V\_{D R V}-V\_{D N},l\_{a,b d}=5,m A

| Undervoltage lock-out,Threshold voltage | $V\_{uvlo}$ | $V\_{IN} $falling | 3.0 | 3.1 | 3.2 | V |
| --- | --- | --- | --- | --- | --- | --- |
| Undervoltage lock-out,Hysteresis | $V\_{uvlo,hys}$ | $V\_{IN} $rising | 50 | 125 | 200 | mV |

\\mathsf{V}\_{\\mathsf{D R}})

\\mathsf{V}\_{\\mathsf{u v l o}}

V\_{1mathrm{N}},\\upuparrow\\mathrmdownarrow\\mathrm{i i n g}

\\mathsf{V}\_{\\mathsf{U v l0,h y y s}}

\\mathsf{V}\_{\ N}\\up!\\up{i\\sin i g}

* * *

NCV8871

-40^C<T\_{j}<150^C,3.2V<V\_{N1}<40V

| Characteristic | Symbol | Conditions | Min | Typ | Max | Unit |
| --- | --- | --- | --- | --- | --- | --- |

| Startup blanking period | $% t\_{scp,dly}$ | From start of soft-start, Percent of $t\_{ss}$ | 100 | 120 | 150 | % |
| --- | --- | --- | --- | --- | --- | --- |
| Hiccup-mode period | $% t\_{hcp,dly}$ | From shutdown to start of soft-start, Percent of $t\_{ss}$ | 70 | 85 | 100 | % |
| Short circuit threshold voltage | $% V\_{scp}$ | $V\_{FB}$ as percent of $V\_{ref}$ | 60 | 67 | 75 | % |
| Short circuit delay | $t\_{scp}$ | From $V\_{FB}< V\_{scp}$ to stop switching | - | 35 | 100 | ns |

%\_\ \\mathtt{s c p,d l y}

\ \_{\\mathrm{s s}}

%\ t c p,d\\forall

\\mathrm{\_s s s}

%\ \_\\mathrm{s c p}

\\mathsf{V}\_{\\mathsf{F B}}

\\mathsf{V\_\_{\\mathrm{r e f}}}

\ \_{\\mathrm{s c p}}

V\_{F B}<V\_{s C p}

THERMAL SHUTDOWN

| Thermal shutdown threshold | $T\_{sd}$ | $T\_{J}$ rising | 160 | 170 | 180 | $^{\\circ}C$ |
| --- | --- | --- | --- | --- | --- | --- |
| Thermal shutdown hysteresis | $T\_{sd,hys}$ | $T\_{J}$ falling | 10 | 15 | 20 | $^{\\circ}C$ |
| Thermal shutdown delay | $t\_{sd,dly}$ | From $T\_{J}>T\_{sd}$ to stop switching | - | - | 100 | ns |

{\\sf{T}}\_{\\mathrm{s d}}

\ mathrm{^\\circ\\mathrm C}

\\tau\_{\\mathbf{J}}

{\\sf T}\_{\\sf s d,h y s}

^{\\circ}\\mathrm{C}

\ {\\boldsymbol{\\tau}}{\\boldsymbol{\\up{}}}

\\mathsf{t}\_{\\mathsf{s d},\\mathsf{d l y}}

\\sf{T} _{J}>T_{s d}

Product parametric performance is indicated in the Electrical Characteristics for the listed test conditions, unless otherwise noted. Product
performance may not be indicated by the Electrical Characteristics if operated under different conditions.

* * *

# NCV8871

## TYPICAL PERFORMANCE CHARACTERISTICS

7 TJ = 25°C

A) 6 5 4 3 , SLEEP CURRENT (2 I q,sleep 1 0
VIN, INPUT VOLTAGE (V)

**Figure 2. Sleep Current vs. Input Voltage**

6 VIN = 13.2 V

A) 5 4 3 2 , SLEEP CURRENT ( I q,sleep 1 0 −50 0 50 100 150 200
TJ, JUNCTION TEMPERATURE (°C)

**Figure 4. Sleep Current vs. Temperature**

119 MINIMUM ON TIME (ns) 117 t on,min 115 −40 10 60 110 160 TJ, JUNCTION TEMPERATURE (°C)

**Figure 6. Minimum On Time vs. Temperature**

5.5
5.0
4.5
4.0
, QUIESCENTCURRENT (mA) TJ = 25°C, I q,on VIN = 13.2 V

3.5
fs, SWITCHING FREQUENCY (kHz)

**Figure 3. Quiescent Current vs. Switching**

**Frequency**

3.30 VIN = 13.2 V
3.25 fs = 170 kHz
3.20
3.15
3.10
, QUIESCENTCURRENT (mA)3.05 I q,on

3.00 −40 10 60 110 160
TJ, JUNCTION TEMPERATURE (°C)

**Figure 5. Quiescent Current vs. Temperature**

1.010 °C)
1.005
1.000
0.995 NORMALIZED CURRENT LIMIT (25
0.990 −40 10 60 110 160
TJ, JUNCTION TEMPERATURE (°C)

**Figure 7. Normalized Current Limit vs.**

**Temperature**

0102030400 200 400 600 800 1000

**[www.onsemi.com](/content/site-root.html)**

* * *

TYPICAL PERFORMANCE CHARACTERISTICS

TJ, JUNCTION TEMPERATURE (°C)

Figure 8. Reference Voltage vs. Temperature

Figure 9. Enable Pulldown Current vs. Voltage

TJ, JUNCTION TEMPERATURE (°C)

Figure 10. Enable Pulldown Current vs.
Temperature

* * *

NCV8871

THEORY OF OPERATION

Figure 11. Current Mode Control Schematic

Current Mode Control
The NCV8871 incorporates a current mode control

Current Mode Control
The NCV8871 incorporates a current mode control
scheme, in which the PWM ramp signal is derived from the
power switch current. This ramp signal is compared to the
output of the error amplifier to control the on−time of the
power switch. The oscillator is used as a fixed−frequency
clock to ensure a constant operational frequency. The
resulting control scheme features several advantages over
conventional voltage mode control. First, derived directly
from the inductor, the ramp signal responds immediately to
line voltage changes. This eliminates the delay caused by the
output filter and the error amplifier, which is commonly
found in voltage mode controllers. The second benefit
comes from inherent pulse−by−pulse current limiting by
merely clamping the peak switching current. Finally, since
current mode commands an output current rather than
voltage, the filter offers only a single pole to the feedback
loop. This allows for a simpler compensation.
The NCV8871 also includes a slope compensation

The NCV8871 features two current limit protections,
peak current mode and over current latch off. When the
current sense amplifier detects a voltage above the peak
current limit between ISNS and GND after the current limit
leading edge blanking time, the peak current limit causes the
power switch to turn off for the remainder of the cycle. Set
the current limit with a resistor from ISNS to GND, with R
= VCL / Ilimit.

Current Limit
The NCV8871 features two current limit protections,

=\\mathsf{V} _{\\mathrm{C L}},/,\\mathrm{I}_{\\mathrm{l i m i t}}

If the voltage across the current sense resistor exceeds the
over current threshold voltage the device enters over current
hiccup mode. The device will remain off for the hiccup time
and then go through the soft−start procedure.

Short Circuit Protection
If the short circuit enable bit is set (SCE = Y) the device

If the short circuit enable bit is set (SCE = Y) the device
will attempt to protect the power MOSFET from damage.
When the output voltage falls below the short circuit trip
voltage, after the initial short circuit blanking time, the
device enters short circuit latch off. The device will remain
off for the hiccup time and then go through the soft−start.

As VIN ramps up from 0 V, and EN/SYNC is low (0 V),
all die internal voltage rails are normally 0 V. If VIN of
sufficient amplitude and a high slew rate is applied, these
internal voltage rails may elevate momentarily due to die
parasitic coupling. Elevation of the rails can inadvertently
cause an internal power−on reset (POR) circuit and some
internal logic to momentarily activate. With EN/SYNC is

EN/SYNC
The Enable/Synchronization pin has three modes. When
a dc logic high (CMOS/TTL compatible) voltage is applied
to this pin the NCV8871 operates at the programmed
frequency. When a dc logic low voltage is applied to this pin
the NCV8871 enters a low quiescent current sleep mode.
When a square wave of at least %fsync,min of the free running
switching frequency is applied to this pin, the switcher
operates at the same frequency as the square wave. If the
signal is slower than this, it will be interpreted as enabling
and disabling the part. The falling edge of the square wave
corresponds to the start of the switching cycle. If device is
disabled, it must be disabled for 42 s before being
re−enabled.
As VIN ramps up from 0 V, and EN/SYNC is low (0 V),

EN/SYNC
The Enable/Synchronization pin has three modes. When

* * *

NCV8871

held low during VIN ramp, the internal voltage rails and the
POR circuit will decay down to 0 V. If EN/SYNC asserts
high before decay of the POR circuit, the logic could become
stuck in an invalid state (no switching). To avoid the
possibility for such a power up issue, the EN/SYNC signal
should be applied a minimum of 500 s after application of
voltage on VIN.
If the VIN pin voltage falls below VUVLO when

If the VIN pin voltage falls below VUVLO when
EN/SYNC pin is at logic−high, the IC may not power up
when VIN returns back above the UVLO. To resume a
normal operating state, the EN/SYNC pin must be cycled
with a single logic−low to logic−high transition.

\\mathrm{V\_{U V L0}}

UVLO
Input Undervoltage Lockout (UVLO) is provided to

UVLO
Input Undervoltage Lockout (UVLO) is provided to
ensure that unexpected behavior does not occur when VIN
is too low to support the internal rails and power the
controller. The IC will start up when enabled and VIN
surpasses the UVLO threshold plus the UVLO hysteresis
and will shut down when VIN drops below the UVLO
threshold or the part is disabled.
To avoid any lock state under UVLO conditions, the

To avoid any lock state under UVLO conditions, the
EN/SYNC pin should be in logic−low state. For further
details, please refer to EN/SYNC paragraph.

Internal Soft−Start
To insure moderate inrush current and reduce output

Internal Soft−Start
To insure moderate inrush current and reduce output
overshoot, the NCV8871 features a soft start which charges a
capacitor with a fixed current to ramp up the reference voltage.
This fixed current is based on the switching frequency, so
that if the NCV8871 is synchronized to twice the default
switching frequency the soft start will last half as long.
VDRV

VDRV
An internal regulator provides the drive voltage for the

An internal regulator provides the drive voltage for the
gate driver. Bypass with a ceramic capacitor to ground to
ensure fast turn on times. The capacitor should be between
0.1 F and 1 F, depending on switching speed and charge
requirements of the external MOSFET.

1. Define Operational Parameters
2. Select Current Sense Resistor

0.1,\\upmu

3. Select Output Inductor

4. Select Output Capacitors

5. Select Current Sense Resistor

6. Select Output Inductor

Design Methodology
This section details an overview of the component selection
process for the NCV8871 in continuous conduction mode
boost. It is intended to assist with the design process but does
not remove all engineering design work. Many of the
equations make heavy use of the small ripple approximation.
This process entails the following steps:

1. Define Operational Parameters

1~\\upmu\\mathbf{F},

4. Select Output Capacitors

5. Select Input Capacitors

6. Select Feedback Resistors

7. Select Feedback Resistors

8. Select Compensator Components

9. Select Compensator Components

10. Select MOSFET(s)

Design Methodology
This section details an overview of the component selection

8. Select MOSFET(s)

9. Determine Feedback Loop Compensation Network

10. Select Diode

11. Determine Feedback Loop Compensation Network

12. Define Operational Parameters
   Before beginning the design, define the operating

Before beginning the design, define the operating
parameters of the application. These include:
VIN(min): minimum input voltage \[V\]

VIN(min): minimum input voltage \[V\]
VIN(max): maximum input voltage \[V\]

VIN(max): maximum input voltage \[V\]
VOUT: output voltage \[V\]

\\mathrm{V}{}\_{\\mathrm{I N}(m a x)}

\\mathrm{V\_{O U T}}}

VOUT: output voltage \[V\]
IOUT(max): maximum output current \[A\]

IOUT(max): maximum output current \[A\]
ICL: desired typical cycle-by-cycle current limit \[A\]

ICL: desired typical cycle-by-cycle current limit \[A\]

From this the ideal minimum and maximum duty cycles
can be calculated as follows:

\\sf D\_{m i n}=1-\\frac{V\_{I N(m a x)}}{V\_{O U T}}

\\sf D\_{m a x}=1-\\frac{V\_{I N(m i n)}}{V\_{O U T}}

\\mathrm{D\_{m a x}}

Both duty cycles will actually be higher due to power loss
in the conversion. The exact duty cycles will depend on
conduction and switching losses. If the maximum input
voltage is higher than the output voltage, the minimum duty
cycle will be negative. This is because a boost converter
cannot have an output lower than the input. In situations
where the input is higher than the output, the output will
follow the input, minus the diode drop of the output diode
and the converter will not attempt to switch.
If the calculated Dmax is higher the Dmax of the NCV8871,

If the calculated Dmax is higher the Dmax of the NCV8871,
the conversion will not be possible. It is important for a boost
converter to have a restricted Dmax, because while the ideal
conversion ration of a boost converter goes up to infinity as
D approaches 1, a real converter’s conversion ratio starts to
decrease as losses overtake the increased power transfer. If
the converter is in this range it will not be able to regulate
properly.
If the following equation is not satisfied, the device will

\\mathrm{D}\_{\\mathrm{m a x}},

\\mathrm{\_m m a x}

If the following equation is not satisfied, the device will
skip pulses at high VIN:

\\frac{\\mathsf{D} _{\\mathsf{m i n}}}{f_{\\mathsf{s}}}\\geq t\_{\\mathsf{o n}(\\mathsf{m i n})}

Where: fs: switching frequency \[Hz\]
ton(min): minimum on time \[s\]

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:
V

\\mathbf{f}\_{\\mathrm{s}}

2. Select Current Sense Resistor
   Current sensing for peak current mode control and current

* * *

NCV8871

Where: RS: sense resistor \[\]
VCL: current limit threshold voltage \[V\]

VCL: current limit threshold voltage \[V\]
ICL: desire current limit \[A\]

\\mathrm{V\_{C L}}

ICL: desire current limit \[A\]

3. Select Output Inductor
   The output inductor controls the current ripple that occurs

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 VIN, but
operation should be verified empirically. The worst case VIN
is half of VOUT, or whatever VIN is closest to half of VOUT.
After choosing a peak current ripple value, calculate the
inductor value as follows:

\\mathrm{V N.}

\\mathrm{V}\_{\\mathrm{N N}}

\\mathrm{V\_{r e f}}

\\mathrm{V\_{O U T}}

\\mathrm{V\_\_{N}}

\\mathrm{V\_{O U T}}

\\mathsf{L}=\\frac{\\mathsf{V} _{\\mathsf{I N(W C)}}\\mathsf{D}_{\\mathsf{W C}}}{\\Delta\\mathsf{I} _{\\mathsf{L,m a x}}\ f_{\\mathsf{s}}}

Where: VIN(WC): VIN value as close as possible to
half of VOUT \[V\]
DWC: duty cycle at VIN(WC)

\\mathrm{V\_{N\\mathrm{}}}

\\mathrm{V\_{0T T}}\ V\

\\mathrm{D\_{W C}}\ \ {tt{d u}y,}\ {{mathrm{c c c l e}}}\ {\\mathrm{a t}},{\\mathsf{V}{\_{N(W C)}}}

DWC: duty cycle at VIN(WC)
IL,max: maximum peak to peak ripple \[A\]
The maximum average inductor current can be calculated

\\Delta\\mathrm{I}\_{\\mathrm{L}m a x}.

The maximum average inductor current can be calculated
as follows:
V I

\\mathsf{I} _{\\mathsf{L},\\mathsf{A V G}}=\\frac{\\mathsf{V}_{\\mathsf{O U T}}\\mathsf{I} _{\\mathsf{O U T}(\\mathsf{m a x})}}{\\mathsf{V}_{\\mathsf{I N}(\\mathsf{m i n})}\\mathsf{n}}

The Peak Inductor current can be calculated as follows:
I

\\mathsf I\_{\\mathsf L,\\mathsf p e a k}=\\mathsf I\_{\\mathsf L,\\mathsf v a\\mathsf}+\\frac{\\Delta\\mathsf I\_{\\mathsf L,\\mathsf m a m}}{2}

Where: IL,peak: Peak inductor current value \[A\]

\\mathrm{I\_{L,p e a k}}.

4. Select Output Capacitors
   The output capacitors smooth the output voltage and

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

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.

The capacitors need to survive an RMS ripple current as
follows:

\\begin{array}{r l}&{\\mathsf{I} _{\ u o u(\\mathsf{R M S})}=\\mathsf{I}_{\\mathsf{O M T}}\\sqrt{\\frac{\\mathsf{D} _{\\mathsf{W C}}}{\\mathsf{D}_{\\mathsf{W C}}^{\\prime}}+\\frac{\\mathsf{D} _{\\mathsf{W C}}}{1mathsf2}\\left(\\frac{\\mathsf{D}{\ }_{\\mathsf{W C}}^{\\prime}}{\\mathsf{R}\_{\\mathsf{W O T}}^{\\prime}\ mathsf T S S}\\right)^{2}}}\ &{\\quad\\mathsf{h e ~~u s e~~ o f ~~p a r a l l e l~~ c e r a i n ~~b y p a s s~~ c a p a c i t o r s ~~i s~~ s t r o n g}}\\end{array}

\\sf\_C i n(R M S)=\\frac{V\_{1N(m i n)}^{2},D\_{W C}}{L\_{S}V\_{O U T}^{2}\\sqrt{3}}

6. Select Feedback Resistors
   The feedback resistors form a resistor divider from the

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 Vref.
The lower feedback resistor can be chosen, and the upper
feedback resistor value is calculated as follows:

\\mathsf{R} _{\\mathsf{u p p e r}}=\\mathsf{R}_{\\mathsf{l o w e r}}\\frac{\\left(\\mathsf{V} _{\\mathsf{o u t}}-\\mathsf{V}_{\\mathsf{r e f}}\\right)}{\\mathsf{V}\_{\\mathsf{r e f}}}

The total feedback resistance (Rupper + Rlower) should be in
the range of 1 k – 100 k.

(\\mathrm{R} _{\\tt{u p p e r}}+\\mathrm{R}_{\\tt{l o w e r}})

7. Select Compensator Components
   Current Mode control method employed by the NCV8871

Current Mode control method employed by the NCV8871
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

In order to ensure the gate drive voltage does not drop out
the MOSFET(s) chosen must not violate the following
inequality:

\\tt{Q} _{g(t o t a l)}\\leq\\frac{l_{d n}}{f\_{s}}

Where: Qg(total): Total Gate Charge of MOSFET(s) \[C\]
Idrv: Drive voltage current \[A\]
fs: Switching Frequency \[Hz\]

\\mathrm{Q}{}\_{\\mathrm{g(t o t a l)}}

\\mathrm{I}\_{\\mathrm{d r V}}

drv
fs: Switching Frequency \[Hz\]
The maximum RMS Current can be calculated as follows:

The maximum RMS Current can be calculated as follows:

\\mathbf{f}\_{\\mathrm{s}}.dot}{\\mathbf{i}

1\_{Q(m a x)}=I\_{o u t}\\frac{D}{D^{\\prime}}

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 V

\\mathsf{V} _{\\mathsf{Q}(\\mathsf{m a x})}=\\mathsf{V}_{\\mathsf{O U T}(\\mathsf{m a x})}

9. Select Diode
   The output diode rectifies the output current. The average

The output diode rectifies the output current. The average
current through diode will be equal to the output current:
I I

\\mathsf{V} _{\\mathsf{D}(\\mathsf{m a x})}=\\mathsf{V}_{\\mathsf{O U T}(\\mathsf{m a x})}

Where: Pd: Power dissipation in the diode \[W\]
Vf(max): Maximum forward voltage of the diode \[V\]

Vf(max): Maximum forward voltage of the diode \[V\]

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NCV8871

10. Determine Feedback Loop Compensation Network
    The purpose of a compensation network is to stabilize the

11. 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

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
(RESD ≈ 502, 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 (VCTRL) may differ from the
IC-VC signal if R2 is of similar order of magnitude as RESD.
The compensation and gain expressions which follow take
influence from the OTA output impedance elements into
account.

(R\_{E\\mathit D D}\\approx502;\\Omega,

R\_{E S D}

Type-I compensation is not possible due to the presence
of RESD. The Figures 12 and 13 compensation networks
correspond to a Type-II network in series with RESD.
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

R\_{2}

R\_{E S D}

• 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

• 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.

Figure 12. NCV8871 Boost Converter OTA and Compensation

* * *

# NCV8871

VIN Vd VOUT 1:N r Cf Lp ROUT Rds(on) COUT VC GDRV R2 **RESD** C2 ISNS C1 **VCTRL** **OTA** Ri R0 **VREF**

## VFB R1

GND R low

**Figure 13. NCV8871 Flyback Converter OTA and Compensation**

The following equations may be used to select compensation Necessary equations for describing the modulator gain components R2, C1, C2 for Figures 12 & 13 power supply. (Vctrl-to-Vout gain) Hctrl\_output(f) are described next. Boost Required input design parameters for analysis are: continuous conduction mode (CCM) and discontinuous _Vd = Output diode Vf (V)_ conduction mode (DCM) transfer function expressions are summarized in Table 1. Flyback CCM and DCM transfer _VIN = Power supply input voltage (V)_ function expressions are summarized in Table 2. _N = Ns/Np (Flyback transformer turns ratio)_ _Ri = Current sense resistor (_) _RDS(on) = MOSFET RDS(on) (_) (Rsw\_eq = RDS(on) + Ri for the boost continuous conduction mode (CCM) expressions) _COUT = Bulk output capacitor value (F)_ _rCF = Bulk output capacitor ESR (_) _ROUT = Equivalent resistance of output load (_) _Pout = Output Power (W)_ _L = Boost inductor value or flyback transformer primary_ side inductance (H) _rL = Boost inductor ESR (_) _Ts = 1/fs, where fs = clock frequency (Hz)_ _R1 and Rlow = Feedback resistor divider values used to set the_ output voltage () _VOUT = Device specific output voltage (defined by R1 and_ Rlow values) (V) _R0 = OTA output resistance = 3 M_ _Sa = IC slope compensation (e.g. 53 mV/_ s for NCV887100) _gm = OTA transconductance = 1.2 mS_ D = Controller duty ratio D’ = 1 − D

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NCV8871

Table 1. BOOST CCM AND DCM TRANSFER FUNCTION EXPRESSIONS

|  | CCM | DCM |
| --- | --- | --- |
| Duty Ratio(D) | \[2ROUTVdVIN-\[Rswcq+ROUT(VIN/VOUT-2)\]VOUT2-VOUT√(ROUT(ROUTVIN2+2RswcqVINVOUT-4VdRswcqVIN-4LVIN2)+Rswcq2VOUT2)/2ROUT(VOUT2+VdVIN\] | $\\sqrt{2\\tau L(M)}$Where: $\\tau\_{L}=\\frac{\\pi}{2}$ |
| VOUTVINDC Voltage Gain(M) | $\\frac{1}{1-D}\\left\[1-\\frac{(1-D)Vd}{Vout}\\right\]\\left\[\\frac{1}{1+\\frac{1}{(1-D)^2\\left(\\frac{r\_L+DRswcq}{ROUT}\\right)}}\\right\]$ | $\\frac{1}{2}\\left(1+\\sqrt{1}\\right)$ |
| Inductor On-slope($S\_{n}$), V/s | $\\frac{VIN-I\_{\\text{Lave}}(r\_{L}+Rswcq)}{L}R\_{i}$Where average inductor current: $I\_{\\text{Lave}}=\\frac{P\_{\\text{out}}}{VIN\\eta}$ | $\\frac{VIN}{L}R\_{i}$ |
| Compensation Ramp ($m\_{c}$) | $1+\\frac{S\_{n}}{S\_{n}}$ | $1+\\frac{S\_{n}}{S\_{n}}$ |
| Cout ESR Zero($\\omega\_{z1}$) | $\\frac{1}{rCF COUT}$ | $\\frac{1}{rCF COUT}$ |
| Right-Half-Plane Zero($\\omega\_{z2}$) | $\\frac{(1-D)^{2}}{L}(R\_OUT-\\frac{rCF ROUT}{rCF+R\_OUT})-\\frac{rL}{L}$ | $\\frac{R\_OUT}{M^{2}L}$ |
| Low Frequency Modulator Pole($\\omega\_{p1}$) | $\\frac{2}{R\_OUT}+\\frac{T\_{s}}{LM^{3}}m\_{c}$COUT | $\\frac{1}{RCF COUT}$ |
| High Frequency Modulator Pole($\\omega\_{p2}$) | - | $2F\_{SW}\\left(\\frac{1}{L}\\right)$ |
| Sampling Double Pole($\\omega\_{n}$) | $\\frac{\\pi}{T\_{s}}$ | - |
| Sampling Quality Coefficient($Q\_{p}$) | $\\frac{1}{\\pi(m\_{c}(1-D)-0.5)}$ | - |
| $F\_{m}$ | $\\frac{1}{2M+\\frac{R\_OUT}{LM^{2}}\\left(\\frac{1}{2}+\\frac{S\_{n}}{S\_{n}}\\right)}$ | $\\frac{1}{S\_{n}m\_{c}}$ |
| $H\_{d}$ | $\\frac{\\eta R\_{OUT}}{R\_{i}}$ | $\\frac{2V\_{OUT}}{D}-\\frac{M}{2}$ |
| Control-Output Transfer Function($H\_{\\text{ctrl\_output}}(\\theta)$) | $\\frac{\\left(1+j\\frac{2\\pi f}{o\_{w1}}\\right)\\left(1-j\\frac{2\\pi f}{o\_{w2}}\\right)}{F\_{m}H\_{d}}\\frac{\\left(1+j\\frac{2\\pi f}{o\_{w1}}\\right)\\left(1+j\\frac{2\\pi f}{o\_{w2}}\\right)}{F\_{m}H\_{d}}\\left(1+j\\frac{2\\pi f}{o\_{w1}}\\right)\\left(1+j\\frac{2\\pi f}{o\_{w2}}\\right)}$ | $F\_{m}H\_{d}\\left(1+j\\frac{2\\pi f}{o\_{w1}}\\right)\\left(1+j\\frac{2\\pi f}{o\_{w2}}\\right)$ |

\\mathrm{2R\_{O U T}V\_{d}V\_{I N}-\\left\[R\_{s w\_c q}+R\_{O U T}\\bigg(\\frac{V\_{I N}}{V\_{O U T}}-2\\bigg)\\right\]V\_{O U T}^{2}}

\\lefted{-\\mathrm{v} _{\\mathrm{O U T}}\\sqrt{\\mathrm{R}_{\\mathrm{O U T}}\\left(\\begin{matrix}{\\mathrm{R} _{\\mathrm{O U T}}\\mathrm{V}_{\\mathrm{R R}}^{2}+2\\mathrm{R} _{\\mathrm{w w},\\mathrm{c q}}\\mathrm{V}_{\\mathrm{R W}}\\mathrm{V} _{\\mathrm{O U T}}-4\\mathrm{V}_{\\mathrm{d}}\\mathrm{R} _{\\mathrm{w w},\\mathrm{c q}}\\mathrm{V}_{\\mathrm{N U}}^{2}}\ {-4\\mathrm{R} _{\\mathrm{w w},\\mathrm{c q}}\\mathrm{V}_{\\mathrm{O U T}}^{2}-4\\mathrm{r} _{\\mathrm{T}}\\mathrm{V}_{\\mathrm{Q U T}}-mathrm44\\mathrm{r} _{\\mathrm{L}}\\mathrm{V}_{\\mathrm{O U T}}^mathrm{V}}{2}}\\end{matrix}\\right)+\\mathrm{R} _{\\mathrm{w w},\\mathrm{q}}\\mathrm{q}mathrm{\\mathrm{Q U}}}^mathrm{22}mathrm{\ V_{\\mathrm{O U T}}}{}^

\\sqrt{2\\uptau\_{\\mathrm{L}}\\mathbf{M}(\\mathbf{M}\\mathrm{ ~~-~~}1)}

\ \ 2!\\tt R{} _{{O T T}}\ {left{({{V}{{0}}{{U T}}^{2}}+{{{V}}_{d}}{{{V}}\_{I N}}}\\right)}

V\_{0u U}}/\_{N}

\\frac{1}{1,-,\\mathrm{D}}\\left\[1,-,\\frac{\\left((1,\ --,\\mathrm{D}\\right)\\mathrm{V} _{\\mathrm{d}}}{\\mathrm{V}_{\\mathrm{o u t}}}\\right\],\\left(\\frac{1}{1,+,\\frac{1}{\\left(1-\\mathrm{D}\\right)^{2}\\left(\\frac{\\mathrm{r} _{\\mathrm{L}}+\\mathrm{D}\\mathrm{R}_{\\mathrm{s w,,q}}}{\\mathrm{R}\_{\\mathrm{O U T}}}\\right)}}\\right\]

\\frac{1}{2}\\left(1,+,\\sqrt{1+\\frac{2\ {bf D D}^{2}}{{\\tt}!\_{!L}}}\\right)

(\\mathsf{S}\_{n}),\\mathsf{V}/\\mathsf{S}

\\frac{V\_{I\\mathrm{N}}-\_I mathrm{L a v e}\\bigl(r\_{L}+\ R R\_{W\_e q}\\bigr)}{L}R\_\_{\\mathrm{i}}

\\frac{\\mathrm{v\_{I N}}}{\\mathrm{L}}\\mathrm{R\_{i}}

\\mathrm{I\_{L a v e},=,\\frac{P\_{o u t}}{V\_{I N}\\upeta}}

(m\_{c})

1,\\mathrm{+},{\\frac{S\_{a}}{S\_{n}}}

\\begin{array}{l}{\\mathsf{C\_{o u t}E S\ e r e r o}}\ {\ {(omega\_{z1})}}\\end{array}

\\frac{1}{\\mathrm{r\_{C F}}C\_{\\mathrm{0T}}}

\\frac{1}{\\mathrm{ _{C F}C_{\\mathrm{o U T}}}}

\\frac{\\left(1-\\mathbf{D}\\right)^{2}}{\\mathbf{L}}\\left((\\mathbfmathbf{R} _{\\mathrm{O U T}}-\\frac{\\mathbf{r}_{\\mathrm{C F}},\\mathbf{R} _{\\mathrm{O U T}}}{\\mathbf{r}_{\\mathrm{C F}}+,\\mathbf{R} _{\\mathrm{O U T}}}\\right)-\\frac{\\mathbf{l}_{\\mathrm{L}}}{\\mathbf{L}}

\\bar{\\mathfrak r e r0}\\left(\\omega\_{z2}\\right)

\\frac{\\mathrm{R\_{O U T}}}{\\mathrm{M^{2}L}}

\\frac{2}{\\mathrm{R\_{0U U}}}+\\frac{T\_{s}}{\\mathrm{L M^^{3}}}\\mathfrak{m\_{c}}

(\\omega\_{p t})

(w\_{p i})

\\mathrm{C\_{O U T}}

(\\omega\_{p2})

2\\mathbf{F}\_{\\mathrm{S w}}\\Bigg(\\frac{1-\\frac{1}{\\mathbf{M}}}{\\mathbf{D}}\\Bigg)^{2}

\\mathsf{P o l e}\\left(\\omega\_{n}\\right)

\\mathcal{R}

(boldsymbol Q{}\_{\\mathfrak{p}})

\\frac{1}{\\bf{S} _{n},m_{c},T\_{s}}

\\frac{\\tri}{T\_{s}}

\\pi\\big(\\mathfrak{m}\_{\\mathrm{c}}\\big(1-\ mathrm{D}),-,0.5\\big)

2\\bf{M},+,\\frac{R\_{O U T}T\_{s}}{L M^{2}}\\bigg(\\frac{1}{2},+,\\frac{S\_{a}}{S\_{n}}\\bigg)

\\frac{2\\mathrm{V}\_{\\mathrm{O U T}}}{\\mathrm{ ~~D~~}}\\cdot\\frac{\\mathrm{M}-1}{2\\mathrm{M}-1}

\\frac{\\mathrm{\\boldmath ~~\\cap~~ R}\_ _{mathrmmathrm{{O U T}}}}{\\mathrm{\\boldmath~R}_{i}}

(H\_{c t r l\_o u t p u t}(t))

\\left11,+,\\mathrm{j},\\frac{2\\pi\\mathrm{f}}{00\_{z1}}\\right)\\left(1,-,\\mathrm{j},\\frac{2\\pi\\mathrm{f}}{00\_{z2}}\\right)

\\left11;;+;\\mathrm{j},\\frac{2\\pi\\mathrm{f}}{\ {omega\_{{z}}}1}\\right)\\left11;;-\\;mathrm{{j j}},\\frac{2\\pi\\mathrm{f}}{{{\\omega}\_{{z}}}2}\\right)

\\begin{array}{r}{{1}\\overline{{{\\left(1,+,j,{\\mathrm{{}}\ 2\\pi f}{{0mathrm{{}} _{p}}}\\right)\\left(1,+,j,{\\mathrm{{}}\ \\frac{2\\pi f,}{{{mathrm{{}}}_{0}\ {Q\_{p}}}+\\left(\\textstyle j,{\\frac{2\\pi f},{{{\\mathrm{{}}}\_{0}}}\\right)^{2}}}})}}}}}end{

* * *

NCV8871

Table 2. FLYBACK CCM AND DCM TRANSFER FUNCTION EXPRESSIONS

|  | CCM | DCM |
| --- | --- | --- |
| Duty ratio(D) | $\\frac{V\_{OUT}}{V\_{OUT}+NV\_{IN}}$ | $\\frac{V\_{OUT}}{NV\_{IN}}\\sqrt{2\\tau\_{L}}$ |
| Where:$\\tau\_{L}=\\frac{N^{2}L\_{p}}{T\_{s}R\_{OUT}}$ |  |  |
| $V\_{OUT}/V\_{IN}$ DC Conversion Ratio(M) | $\\frac{N \\cdot D}{1-D}$ | $\\frac{N \\cdot D}{\\sqrt{2 \\cdot \\tau\_{L}}}$ |
| Inductor On-slope($S\_{n}$),V/s | $\\frac{V\_{IN}}{L\_{p}}R\_{i}$ | $\\frac{V\_{IN}}{L\_{p}}R\_{i}$ |
| Compensation Ramp($m\_{c}$) | $1+\\frac{S\_{a}}{S\_{n}}$ | $1+\\frac{S\_{a}}{S\_{n}}$ |
| $C\_{\\text{out}}$ ESR Zero($\\omega\_{z1}$) | $\\frac{1}{r\_{\\text{CF}}C\_{\\text{OUT}}}$ | $\\frac{1}{r\_{\\text{CF}}C\_{\\text{OUT}}}$ |
| Right-Half-Plane Zero($\\omega\_{z2}$) | $\\frac{(1-D)^{2}R\_{\\text{OUT}}}{D L\_{p} N^{2}}$ | $\\frac{R\_{\\text{OUT}}}{N^{2}L\_{p}}\\cdot\\frac{1}{M(M+1)}$ |
| Modulator Pole($\\omega\_{p1}$) | $\\frac{\\frac{D^{\\prime 3}}{\\tau\_{L}}\\left(1+2\\frac{S\_{a}}{S\_{n}}\\right)+1+D}{R\_{\\text{OUT}}C\_{\\text{OUT}}}$ | $\\frac{2}{R\_{\\text{OUT}}C\_{\\text{OUT}}}$ |
| $\\omega\_{p2}$ | - | $2F\_{\\text{SW}}\\left(\\frac{1}{D}\\frac{1}{M}\\right)^{2}$ |
| $F\_{m}$ | $\\frac{1}{\\frac{D^{\\prime 2}}{\\tau\_{L}}\\left(1+2\\frac{S\_{a}}{S\_{n}}\\right)+2M+1}$ | $\\frac{1}{S\_{n}m\_{c}T\_{s}}$ |
| $H\_{d}$ | $\\frac{R\_{\\text{OUT}}}{R\_{i}N}$ | $V\_{\\text{IN}}\\sqrt{\\frac{1}{2\\tau\_{L}}}$ |
| Control-output Transfer Function($H\_{\\text{ctrl\_output}}(f)$) | $F\_{m}H\_{d}\\frac{\\left(1+j\\frac{2\\pi f}{\\omega\_{z1}}\\right)\\left(1-j\\frac{2\\pi f}{\\omega\_{z2}}\\right)}{\\left(1+j\\frac{2\\pi f}{\\omega\_{p1}}\\right)}$ | $F\_{m}H\_{d}\\frac{\\left(1+j\\frac{2\\pi f}{\\omega\_{z1}}\\right)\\left(1-j\\frac{2\\pi f}{\\omega\_{z2}}\\right)}{\\left(1+j\\frac{2\\pi f}{\\omega\_{p1}}\\right)}$ |

\\mathrm{V}\_{\\mathrm{O U T}}

\\frac{V\_{U T}}{N\\mathrm{{N}} _{mathrm N N}}\\sqrt{2\\mathfrak{t}_{\\mathrm L}}

\\mathrm{V\_{O U T}+,\ N V\_{I N}}

V\_{\\sf U U T}/N\_{\\sf N}

\ {mathfrak r\_{\\mathrm{L}}}={\\frac{{bf N N}^{2},{\\bf L} _{\\mathrm{p}}}{{\\mathrm T}_{\\mathrm{s}},{\\bf R}\_{\\mathrm{O U T}}}}

\\frac{\\mathrm{ ~~N~~}\\cdot\\mathrm{ ~~D~~}}{1-\\mathrm{ ~~D~~}}

(s\_{n})

\\frac{\\mathrm{ ~~N~~}\\cdot\\mathrm{ ~~D~~}}{\\sqrt{2\\cdot\\tau\_{L}}}

\\frac{\\sf{V} _{I N}}{\\sf{L}_{p}}{sf{R}\_{i}}

\\frac{\\mathbf{V\_{I N}}}{\\mathbf{L\_{p}}}\\mathbf{R\_{i}}

(m\_{c})

1+\ \ \ {overline{{{sfsf}S}{}\_{\\mathrm{n}}}}

\\mathrm{1 ~~+~~}frac S\_{a}}{S\_{n}}

\\mathsf{C\_{o u t}E S R,Z e r o},(\\omega\_{z1})

\\frac{1}{{\ \ {\\mathrm{r}} _{\\mathrm{C F}}{\ {mathrm{C C}}_{\\mathrm{U T T}}}}

\\frac{1}{\\mathbf{r\_{\\mathrm{C F}}}\\mathbf{C\_{\\mathrm{o U T}}}}

\\left(1-\\mathbb{D}\\right)^{2}\\mathrm{R}\_{\ \ \\mathrm{0U T}}

\\frac{\\mathrm{R} _{\\mathrm{O U T}}}{\\mathrm{N}^{2},\\mathrm{L}_{\\mathrm{p}}}\\cdot\\frac{1}{\\mathrm{M},(\\mathrm{M},+,1)}

\\mathrm{{D},L\_{p}N^{2}}

(\\omega\_{p t})

\ scriptstyle{\ frac{\\mathrm{D}{'}^{3}}{\\intercal{\\tt} _{L}}},(1;+;2\ {\\frac{\\mathrm{S}_{a}}{\\mathrm{S}\_{n}}});+;1;+;{\\bf D}

\\frac{2}{\\mathrm{R\_{0mathrm{U T}}},\\mathrm{C\_{0\\mathrm{U T}}}}

\\mathrm{R} _{\\mathrm{0U T}},\\mathrm{C}_{\\mathrm{0U U}}

w\_{p2}

2\\mathbf{F}\_{\\mathrm{S W}}\\left(\\frac{\\frac{1}{\\mathbf{D}}}{1+\\frac{1}{\\mathbf{M}}}\\right)^{2}

F\_{m}

\ \\scriptstyle{frac{\ \\mathrm{D}^{\\prime}2}{\ \ _!{\\mathrm{L}}}},\\left(1,+,2,,{\\frac{\ \\mathrm{S}_{!mathrm{a}}}{\ \ \ \ \\\ \\\ }}\ \\right),+,2\\mathrm{\\bf{M}},+,1

\\frac{1}{{\\mathsf{S}} _{\\mathsf{n}},{\\mathsf{m}}_{\\mathsf{c}},{\\mathsf{T}}\_{\\mathsf{s}}}

H\_{d}

\\mathrm{R\_{O U T}}

\\overline{{\\mathrm{V\_{\\mathrm{I N}},\\sqrt{\\frac{1}{2\\mathfrak{t}\_{\\mathrm{I}}}}}}}

\\mathrm{F\_{m},\\mathrm{H\_{d}},\ }!(\\mathrm{\\frac{{1\ +\ j j\ {frac22pipi f}}{{0} _{z2}}}!\\left(\\mathrm\\middle-\ j\\frac{{\ 2\\pi f}}{{0}_{z2}}!\\right)}{!\\left(\\mathrm{1\ \ -\ j\ }frac{{22\\pipi}f}{{0}\_{z2}}!\\right)}

\\mathrm{{\\left(1,+,i,j\\frac{2\\pi f}{{omega\_{z1}}}\\right)(\\hbar{-,,j,}frac2{pi}{{{\\omega}\_{z2}}})}}

H\_{c t r l\_o u t p u t}(f)

\\mathrm{F\_{m},H\_{d}\\frac{z\ \ r{\ \\\ \\\ z z\ {1,\ \ z\ \\\ \\\ \\\ \\\ \\\ \\\ \\\ \\\ \\\ \\\ \\\ \ \

component value adjustments may become necessary when
R2 ≤ ~10·Resd as a result of approximations for determining
components R2, C1, C2.

R\_{2}\\leq{\\sim}10{\\cdot}R\_{e s d}

R\_{2},C\_{l},C\_{2}

* * *

NCV8871

Table 3. OTA COMPENSATION TRANSFER FUNCTION AND COMPENSATION VALUES

| Desired OTA Gain at Cross-over Frequency $f\_{c}(G)$ | $\\frac{desired\ G\_{c,w,e}}{10}\\frac{20}{1}$ |
| --- | --- |
| Desired Phase Boost at Cross-over Frequency $f\_{c}(\\text{boost})$ | $\\left(\\theta\_{\\text{margin}}-\\arg\\left(H\_{\\text{ctrl\_output}}\\left(f\_{c}\\right)\\right)\\frac{180^{\\circ}}{\\pi}-90^{\\circ}\\right)\\frac{\\pi}{180^{\\circ}}$ |
| Select OTA Compensation Zero to Coincide with Modulator Pole at $f\_{p1}(f\_{z})$ | $\\frac{\\omega\_{p1e}}{2\\pi}$ |
| Resulting OTA High Frequency Pole Placement ($f\_{p}$) | $\\frac{f\_{p}f\_{c}+f\_{c}^{2}\\tan(\\text{boost})}{f\_{c}-f\_{z}\\tan(\\text{boost})}$ |
| Compensation Resistor $R\_{2}$ | $\\frac{f\_{p}G}{f\_{p}-f\_{z}}\\frac{V\_{\\text{OUT}}}{1.2g\_{m}}\\sqrt{1+\\left(\\frac{f\_{c}}{f\_{p}}\\right)^{2}}$ |
| Compensation Capacitor $C\_{1}$ | $\\frac{1}{2\\pi f\_{p}G}\\cdot \\frac{R\_{\\text{low}}g\_{m}}{R\_{\\text{low}}+R\_{1}}$ |
| OTA DC Gain($G\_{0,\\text{OTA}}$) | $\\frac{R\_{\\text{low}}}{R\_{\\text{low}}+R\_{1}}\\cdot g\_{m}\\cdot R\_{0}$ |
| Low Frequency Zero($\\omega\_{z1e}$) | $\\frac{1}{2}\\frac{\\left(R\_{2}+R\_{\\text{esd}}\\right)}{R\_{2}R\_{\\text{esd}}C\_{2}}\\left\[1-\\sqrt{1-4\\frac{R\_{2}R\_{\\text{esd}}C\_{2}}{\\left(R\_{2}+R\_{\\text{esd}}\\right)^{2}C\_{1}}}\\right\]$ |
| High Frequency Zero($\\omega\_{z2e}$) | $\\frac{1}{2}\\frac{\\left(R\_{2}+R\_{\\text{esd}}\\right)}{R\_{2}R\_{\\text{esd}}C\_{2}}\\left\[1+\\sqrt{1-4\\frac{R\_{2}R\_{\\text{esd}}C\_{2}}{\\left(R\_{2}+R\_{\\text{esd}}\\right)^{2}C\_{1}}}\\right\]$ |
| Low Frequency Pole($\\omega\_{p1e}$) | $\\frac{1}{2}\\frac{\\left(R\_{0}+R\_{2}+R\_{\\text{esd}}\\right)}{R\_{2}\\left(R\_{0}+R\_{\\text{esd}}\\right)C\_{2}}\\left\[1-\\sqrt{1-4\\frac{R\_{2}\\left(R\_{0}+R\_{\\text{esd}}\\right)C\_{2}}{\\left(R\_{0}+R\_{2}+R\_{\\text{esd}}\\right)^{2}C\_{1}}}\\right\]$ |
| High Frequency Pole($\\omega\_{p2e}$) | $\\frac{1}{2}\\frac{\\left(R\_{0}+R\_{2}+R\_{\\text{esd}}\\right)}{R\_{2}\\left(R\_{0}+R\_{\\text{esd}}\\right)C\_{2}}\\left\[1+\\sqrt{1-4\\frac{R\_{2}\\left(R\_{0}+R\_{\\text{esd}}\\right)C\_{2}}{\\left(R\_{0}+R\_{2}+R\_{\\text{esd}}\\right)^{2}C\_{1}}}\\right\]$ |
| OTA Transfer Function($G\_{\\text{OTA}}(f)$) | -G0\_OTA $\\frac{\\left(1+j\\frac{2\\pi f}{\\omega\_{z1e}}\\right)}{\\left(1+j\\frac{2\\pi f}{\\omega\_{p1e}}\\right)}\\frac{\\left(1+j\\frac{2\\pi f}{\\omega\_{z2e}}\\right)}{\\left(1+j\\frac{2\\pi f}{\\omega\_{p2e}}\\right)}$ |

t\_{c}

\\mathbf{G}\_{\\mathrm{f c\_g a i n\_d b}}

t\_{c}

\\biggl(\\Theta\_{\\mathrm{m a r g i n}},-,\\mathrm{a r g\ }Bigl H{{\ H{}\_{c t r l\_o u t p u t}}(c)},),\\frac{180^{\\circ}}{\\pi},-,90^{\\circ},\\biggl)\\frac{\\pi}{180^{\\circ}}

t\_{p1}

\\frac{^{\\mathfrak{o o}}{\\mathtt{p l e}}}{2\\pi}

(t\_{p})

\\mathrm{f\_{c}\ -\ f\_{Z}\\tan a((o o o t t)}

R\_{Z}

\\begin{array}{r l}{{}mathrm{}{}mathrm{} _{\\mathrm{f}{_}{\ _mathrm\\rho}G~}}&{{}\\mathrm{}\\mathrm{}\_\_{\\mathrm{O U T}}\ \\sqrt{1+\\left(\\frac{\\mathrm{f f_{c}}}{\\mathrm{f f\_{p}}}\\right)^{2}}}\\end{array}

c\_{r}

\\begin{array}{r}{\\overline{{\\mathrm{f\_{p}\ -\ f\_{z}}}}\ \ \\overline{{\ 1.2,g\_{m}}}\ \ {\\overline{{\\sqrt{1+\\left(\ {frac f\ f\_{z}{f\_{p}}}\\right)}}}}}\\end{array}

c\_{R}

\ \ {\\frac{1}{2\\pi,\\mathrm{f} _{z},\\mathrm{R}_{2}}}

\\frac{1}{2\\pi,\\mathrm{f} _{\\mathrm{p}}\\mathrm{G}}\\cdot\\frac{\\mathrm{R}_{\\mathrm{l o w}},\\mathrm{g} _{\\mathrm{m}}}{\\mathrm{R}_{\\mathrm{l o w}}+,\\mathrm{R}\_{\\mathrm{1}}}

(G\_{0},O T\_)A

\\frac{\\sf{R} _{l\ w{}}}{\\sf{R}_{l o w},+, _{R_{1}}}\\cdot,\\sf{g} _{m},\\cdot,\\sf{R}_{0}

(\\omega\_{z i e})

Low Voltage Operation
If the input voltage drops below the UVLO or MOSFET

\\frac{1}{2},\\frac{\\left(\\mathrm{}\ {bf R R} _{2},+,{mathrm{\\tiny{R}{_{e s d}}}}\\right)}{\\mathrm{}\ {}{\\bf R} _{2}{\\bf R}_{\\mathrm{s e d}}{\\bf C} _{2}}\\left\[1,-,\\sqrt{1-4\\frac{\\mathrm{}\ {}\ {mathrm\\tiny{R{R}{_{2}}\ }}\ {\\left\ \\mathrm{}{{} _{2}},\\mathrm{{\\tiny{R}{_{e s d}}}}\\right)}^{2}{mathrm}}\ {\\left{(\\bf}{\\mathrm{{R}{ _{2}}},+,{\\mathrm{\\tiny{R}{_{e s d}}}}\\right)}^{2}\\mathrm{}{}bf\\bar}}\
\
\\sf{T((f)=\ G\_{0A A}(f)H\_{c u l l\_o t t p l}(f)}\
\
If the input voltage drops below the UVLO or MOSFET\
threshold voltage, another voltage may be used to power the\
\
\\frac{1}{2},\\frac{\\left(\\mathrm{\ {}}\ \ \ \\\ (\\mathrm{{\ {R} _{0}+\\mathrm{{}\ }}}\\\mathrm{{{R}_{2}}}\ )\ {\\mathrm{{}}}\
\
\\frac{1}{2},\\frac{\\left(\\mathrm{R}{} _{0},+,\\mathrm{R}{{}_{2}},+,\\mathrm{R}{} _{\\mathrm{e s d}}\\right)}{\\mathrm{R}{}_{2}\\big(\\mathrm{R}{} _{0},+,\\mathrm{R}{}_{\\mathrm{e s d}}\\big} _{2},\\Bigg)\\left\\11,+,,\\sqrt{1-4\\frac{\\mathrm{R}{}_{2}\\big(\\mathrm{R}{{ _{0}}}+\\mathrm{R}{}_{\\mathrm{e s d}}\\big)\\mathrm{C} _{2}}{\\big(\\mathrm{R}{{{}_{0}}}+\\mathrm{R}{{{} _{2}}}+\\mathrm{R}{{{}_{\\mathrm{e s d}}}\\big)^{2}}\\mathrm{C}\_{1}},\\right}\
\
(\\up\_{O T A}()\
\
\\frac{-G\_{0\_O T A}\ \\
\
device. Simply connect the voltage you would like to boost\
to the inductor and connect the stable voltage to the VIN pin\
of the device. In boost configuration, the output of the\
converter can be used to power the device. In some cases it\
may be desirable to connect 2 sources to VIN pin, which can\
be accomplished simply by connecting each of the sources\
through a diode to the VIN pin.\
\
* * *\
\
SEPIC TOPOLOGY APPLICATION INFORMATION\
\
Figure 14. SEPIC Current Mode Schematic\
\
SEPIC Design Methodology\
This section details an overview of the component\
\
This section details an overview of the component\
selection process for the NCV8871 in continuous\
conduction mode SEPIC. It is intended to assist with the\
design process but does not remove all engineering design\
work. Many of the equations make heavy use of the small\
ripple approximation. This process entails the following\
steps:\
\
01. Define Operational Parameters\
\
02. Define Operational Parameters\
\
03. Select Current Sense Resistor\
\
04. Select Current Sense Resistor\
\
05. Select SEPIC Inductors\
\
06. Select SEPIC Inductors\
\
07. Select Coupling Capacitor\
\
08. Select Coupling Capacitor\
\
09. Select Output Capacitors\
\
10. Select Output Capacitors\
\
11. Select Input Capacitors\
\
12. Select Feedback Resistors\
\
13. Select Output Capacitors\
\
14. Select Input Capacitors\
\
15. Select Input Capacitors\
\
16. Select Feedback Resistors\
\
17. Select Compensator Components\
\
18. Select Compensator Components\
\
19. Select MOSFET(s)\
\
20. Define Operational Parameters\
\
21. Select MOSFET(s)\
\
22. Select Diode\
\
\
\\mathrm{D\_\_{m a x}}\
\
VIN(max): maximum input voltage \[V\]\
VOUT: output voltage \[V\]\
\
IOUT(max): maximum output current \[A\]\
ICL: desired typical cycle−by−cycle current limit \[A\]\
\
ICL: desired typical cycle−by−cycle current limit \[A\]\
\
VIN(min): minimum input voltage \[V\]\
VIN(max): maximum input voltage \[V\]\
\
\\mathrm{I\_{0U T(m a x)}}\
\
VOUT: output voltage \[V\]\
IOUT(max): maximum output current \[A\]\
\
From this the ideal minimum and maximum duty cycles\
can be calculated as follows:\
\
\\mathsf{D}{ _{\\mathsf{m i n}}}=\\frac{\\mathsf{V}_{\\mathsf{O0T}}}{\\mathsf{V} _{\\mathsf{I N(m a x)}}+\\mathsf{V}_{\\mathsf{O U T}}}\
\
\\mathsf{D}{ _{\\mathsf{m a x}}}=\\frac{\\mathsf{V}_{\\mathsf{O U T}}}{\\mathsf{V} _{\\mathsf{I N(n i n)}}+\\mathsf{V}_{\\mathsf{O U T}}}\
\
Both duty cycles will actually be higher due to power loss\
in the conversion. The exact duty cycles will depend on\
conduction and switching losses.\
If the calculated D (worst case) is higher than the D\
\
If the calculated DWC (worst case) is higher than the Dmax\
limit of the NCV8871, the conversion will not be possible.\
It is important for a SEPIC converter to have a restricted\
Dmax, because while the ideal conversion ratio of a SEPIC\
converter goes up to infinity as D approaches 1, a real\
converter’s conversion ratio starts to decrease as losses\
overtake the increased power transfer. If the converter is in\
this range it will not be able to regulate properly.\
If the following equation is not satisfied, the device will\
\
\\mathrm{D\_{m a x}}\
\
If the following equation is not satisfied, the device will\
skip pulses at high VIN:\
D\
\
\\mathrm{V\_{N Nmathrm}}}\
\
\\frac{\\mathsf{D} _{\\mathsf{m i n}}}{f_{\\mathsf{s}}}\\geq t\_{\\mathsf{o n m m()))}}\
\
Where: f : switching frequency \[Hz\]s\
ton(min): minimum on time \[s\]\
\
* * *\
\
2. Select Current Sense Resistor\
   Current sensing for peak current mode control and current\
\
Current sensing for peak current mode control and current\
limit relies on the MOSFET current signal, which is\
measured with a ground referenced amplifier. Note that the\
ICL equals the sum of the currents from both inductors. 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:\
V\
\
\\mathrm{I\_{C L}}\
\
\\mathsf{R\_{S}}=\\frac{\\mathsf{V\_{C L}}}{\\mathsf{I\_{C L}}}\
\
Where: RS: sense resistor \[\]\
VCL: current limit threshold voltage \[V\]\
\
VCL: current limit threshold voltage \[V\]\
ICL: desire current limit \[A\]\
\
ICL: desire current limit \[A\]\
\
\\mathrm{I}\_{\\mathrm{C L}}\
\
3. Select SEPIC Inductors\
   The output inductor controls the current ripple that occurs\
\
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 VIN, but\
operation should be verified empirically. The worst case VIN\
is the minimum input voltage. After choosing a peak current\
ripple value, calculate the inductor value as follows:\
V D\
\
\\mathrm{V N},\
\
\\mathsf{L}=\\frac{\\mathsf{V} _{\\mathsf{I N(W C)}}\\mathsf{D}_{\\mathsf{W C}}}{\\Delta\\mathsf{I} _{\\mathsf{L,m a x}}f_{\\mathsf{s}}}\
\
Where: VIN(WC): VIN value as close as possible to half of\
VOUT \[V\]\
DWC: duty cycle at VIN(WC)\
\
\\mathrm{V\_{I N(W C)}:V\_{I N}}\
\
DWC: duty cycle at VIN(WC)\
IL,max: maximum peak to peak ripple \[A\]\
\
IL,max: maximum peak to peak ripple \[A\]\
The maximum average inductor current can be calculated as\
\
\\mathrm{V}{}\_{\\mathrm{I N}(\\mathrm{W C})}\
\
{mathfrak C C}.\
\
\\Delta\\mathrm{I}\_{\\mathrm{L}m a x}\
\
The maximum average inductor current can be calculated as\
follows:\
V I\
\
4. Select Coupling Capacitor\
   Coupling capacitor RMS current is significant. A low\
   ESR ceramic capacitor is required as a coupling capacitor.\
   Selecting a capacitor value too low will result in high\
   capacitor ripple voltage which will distort ripple current and\
   diminish input line regulation capability. Budgeting 2−5%\
   coupling capacitor ripple voltage is a reasonable guideline.\
   I D\
\
\\mathsf{I} _{\\mathsf{L},\\mathsf{A V G}}=\\frac{\\mathsf{V}_{\\mathsf{O U T}}\\mathsf{I} _{\\mathsf{O U T}m a x})}{\\mathsf{V}_{\\mathsf{I N}(\\mathsf{m i n})}\\mathsf{n}}\
\
The Peak Inductor current can be calculated as follows:\
\
\\mathsf{I}{} _{\\mathsf{L2,p e a k}}=\\mathsf{I}_{\\mathsf{O U T(m a x)}}+\\frac{\\Delta\\mathsf{I}\_{\\mathsf{L2}}}{2}\
\
4. Select Coupling Capacitor\
   Coupling capacitor RMS current is significant. A low\
\
Where (if L1 = L2): IL1 = IL2\
\
\\mathsf\_{L1,p e a k}=\\mathsf I\_{L1,a v g}+\\frac{\\Delta\\mathsf I\_{L1}}{2}\
\
f\_{\\sf r e s o n a n c e}=\\frac{1}{2\\pi\\sqrt{(L1+L2)C\_{\\sf c o u p l i n g}}}\
\
Current mode control helps resolve some of the resonant\
frequencies that create issues in voltage mode SEPIC\
converter designs, but some resonance issues may occur. A\
resonant frequency exists at\
\
It may become necessary to place an RC damping network\
in parallel with the coupling capacitor if the resonance is\
within ~1 decade of the closed−loop crossover frequency.\
The capacitance of the damping capacitor should be ~5\
times that of the coupling capacitor. The optimal damping\
resistance (including the ESR of the damping capacitor) is\
calculated as\
\
\\mathsf{R} _{\\tt d a m p i n g}=\\sqrt{\\frac{L1+L2}{C_{\\tt c o u p l i n g}}}\
\
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:\
\
The capacitors need to survive an RMS ripple current as\
follows:\
\
\\mathbf{V}\_{\\mathrm{r e f}}.\
\
1sf\_{C o u t(R M S)}=\\sqrt{1sf/ _{{O U T(m a x)}}^{2}D\_{W C}+\\left(I{a}^{2}+\\frac{I_{r}^{2}}{3}-I\_{a}I\_{r}\\right)D\_{W C}^{\\prime}}\
\
I\_{\\sf{a}}=I\_{\\sf{L1p\_a e a k}}+I\_{\\sf{L2\ _e a a k}}-I_{\\sf{o u t}}\
\
The use of parallel ceramic bypass capacitors is strongly\
encouraged to help with the transient response.\
\
\\mathsf\_{\\mathsf{r}}=\\Delta\\mathsf{I} _{\\mathsf{L}1}+\\Delta\\mathsf{I}_{\\mathsf{L}2}\
\
The input capacitor reduces voltage ripple on the input to\
the module associated with the ac component of the input\
current.\
I\
\
\\mathsf{R} _{\\mathsf{u p p e r}}=\\mathsf{R}_{\\mathsf{l o w e r}}\\frac{\\left((mathsfmathsf V V\_{\\mathsf{o u t}}-\\mathsf V\_{\\mathsf{r e f}}\\right\ )}{\\mathsf V\_{\\mathsf{r e f}}}\
\
* * *\
\
NCV8871\
\
The total feedback resistance (Rupper + Rlower) should be\
in the range of 1 k – 100 k.\
\
(\\mathrm{R} _{\\tt{u p p e r}}+\\mathrm{R}_{\\tt{l o w e r}})\
\
8. Select Compensator Components\
   Current Mode control method employed by the\
\
Current Mode control method employed by the\
NCV8871 allows the use of a simple, Type II compensation\
to optimize the dynamic response according to system\
requirements.\
\
9. Select MOSFET(s)\
   In order to ensure the gate drive voltage does not drop out\
\
In order to ensure the gate drive voltage does not drop out\
the MOSFET(s) chosen must not violate the following\
inequality:\
I\
\
\\mathsf{Q} _{\\mathsf{g(t o t a l)}}\\leq\\frac{\\mathsf{I}_{\\mathsf{d n}}}{f\_{\\mathsf{S}}}\
\
Where: Qg(total): Total Gate Charge of MOSFET(s) \[C\]\
Idrv: Drive voltage current \[A\]\
fs: Switching Frequency \[Hz\]\
\
\\mathrm{Q\_{g(t o t a l)}}.\
\
\\mathrm{I}\_{\\mathrm{d r v}}\
\
The maximum RMS Current can be calculated as follows:\
\
\\mathbf{f}\_{\\mathrm{s}}.\
\
\ _{\\sf{D(a a a)}},=,\\sqrt{\\sf{D}_{W\ !!G}\\Bigg(\ 1\\sb\_{Q(!a a l)},^{2}+\\frac{\\big(\\Delta\\sf{I} _{L1},+,\\Delta\\sf{I}_{L2}\\big)^{2}}{3}-1\ {\\sf I} _{Q\ p!a c a l l}\\big(\\Delta\\sf{I}_{L1},+,\\Delta\\sf{I}\_{L2}\\big)\\Bigg)}.\
\
where\
\
\\mathsf{V} _{\\mathsf{O0m m a}}=\\mathsf{V}_{\\mathsf{O U T(m a x)}}+\\mathsf{V}\_{\\mathsf{I N(m a x)}}\
\
C(D e a H)==I\_{L1\_e e a}+I\_{L2\_\_a e a k}\
\
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:\
\
* * *\
\
SOIC−8 NB\
CASE 751−07\
ISSUE AK\
\
NOTES:\
\
1. DIMENSIONING AND TOLERANCING PER\
\
NOTES:\
\
1. DIMENSIONING AND TOLERANCING PER\
   ANSI Y14.5M, 1982.\
2. CONTROLLING DIMENSION: MILLIMETER.\
\
ANSI Y14.5M, 1982.\
2\. CONTROLLING DIMENSION: MILLIMETER.\
3\. DIMENSION A AND B DO NOT INCLUDE\
\
2. CONTROLLING DIMENSION: MILLIMETER.\
3. DIMENSION A AND B DO NOT INCLUDE\
   MOLD PROTRUSION.\
4. MAXIMUM MOLD PROTRUSION 0.15 (0.006)\
\
MAXIMUM MATERIAL CONDITION.\
6\. 751−01 THRU 751−06 ARE OBSOLETE. NEW\
STANDARD IS 751−07.\
\
PER SIDE.\
5\. DIMENSION D DOES NOT INCLUDE DAMBAR\
PROTRUSION. ALLOWABLE DAMBAR\
PROTRUSION SHALL BE 0.127 (0.005) TOTAL\
IN EXCESS OF THE D DIMENSION AT\
MAXIMUM MATERIAL CONDITION.\
6\. 751−01 THRU 751−06 ARE OBSOLETE. NEW\
\
SOLDERING FOOTPRINT\*\
\
MOLD PROTRUSION.\
4\. MAXIMUM MOLD PROTRUSION 0.15 (0.006)\
PER SIDE.\
5\. DIMENSION D DOES NOT INCLUDE DAMBAR\
\
| DIM | MILLIMETERS |  | INCHES |  |\
| --- | --- | --- | --- | --- |\
| MIN | MAX | MIN | MAX |  |\
| A | 4.80 | 5.00 | 0.189 | 0.197 |\
| B | 3.80 | 4.00 | 0.150 | 0.157 |\
| C | 1.35 | 1.75 | 0.053 | 0.069 |\
| D | 0.33 | 0.51 | 0.013 | 0.020 |\
| G | 1.27 BSC |  | 0.050 BSC |  |\
| H | 0.10 | 0.25 | 0.004 | 0.010 |\
| J | 0.19 | 0.25 | 0.007 | 0.010 |\
| K | 0.40 | 1.27 | 0.016 | 0.050 |\
| M | 0° | 8° | 0° | 8° |\
| N | 0.25 | 0.50 | 0.010 | 0.020 |\
| S | 5.80 | 6.20 | 0.228 | 0.244 |\
\
GENERIC\
MARKING DIAGRAM\*\
\
DOCUMENT NUMBER: 98ASB42564B\
\
\*For additional information on our Pb−Free strategy and soldering\
details, please download the onsemi Soldering and Mounting\
Techniques Reference Manual, SOLDERRM/D.\
\
IC\
(Pb−Free)\
\
| DOCUMENT NUMBER: | 98ASB42564B | Electronic versions are uncontrolled except when accessed directly from the Document Repository.Printed versions are uncontrolled except when stamped“CONTROLLED COPY”in red. |  |\
| --- | --- | --- | --- |\
| DESCRIPTION: | SOIC-8 NB |  | PAGE 1 OF 2 |\
\
DESCRIPTION: SOIC−8 NB\
\
Electronic versions are uncontrolled except when accessed directly from the Document Repository.\
Printed versions are uncontrolled except when stamped “CONTROLLED COPY” in red.\
\
XXXXX = Specific Device Code\
A = Assembly Location\
L = Wafer Lot\
\
A = Assembly Location\
Y = Year\
\
L = Wafer Lot\
Y = Year\
\
STYLES ON PAGE 2\
\
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W = Work Week\
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^\\mathrm{i l}\\mathrm{G}^{\\mathrm{i l}}\
\
* * *\
\
SOIC−8 NB\
CASE 751−07\
ISSUE AK\
\
STYLE 1:\
PIN 1. EMITTER\
2\. COLLECTOR\
3\. COLLECTOR\
4\. EMITTER\
5\. EMITTER\
6\. BASE\
7\. BASE\
8\. EMITTER\
STYLE 5:\
PIN 1. DRAIN\
2\. DRAIN\
3\. DRAIN\
4\. DRAIN\
5\. GATE\
6\. GATE\
7\. SOURCE\
8\. SOURCE\
STYLE 9:\
PIN 1. EMITTER, COMMON\
2\. COLLECTOR, DIE #1\
3\. COLLECTOR, DIE #2\
4\. EMITTER, COMMON\
5\. EMITTER, COMMON\
6\. BASE, DIE #2\
7\. BASE, DIE #1\
8\. EMITTER, COMMON\
STYLE 13:\
PIN 1. N.C.\
2\. SOURCE\
3\. SOURCE\
4\. GATE\
5\. DRAIN\
6\. DRAIN\
7\. DRAIN\
8\. DRAIN\
STYLE 17:\
PIN 1. VCC\
2\. V2OUT\
3\. V1OUT\
4\. TXE\
5\. RXE\
6\. VEE\
7\. GND\
8\. ACC\
STYLE 21:\
PIN 1. CATHODE 1\
2\. CATHODE 2\
3\. CATHODE 3\
4\. CATHODE 4\
5\. CATHODE 5\
6\. COMMON ANODE\
7\. COMMON ANODE\
8\. CATHODE 6\
STYLE 25:\
PIN 1. VIN\
2\. N/C\
3\. REXT\
4\. GND\
5\. IOUT\
6\. IOUT\
7\. IOUT\
8\. IOUT\
STYLE 29:\
PIN 1. BASE, DIE #1\
2\. EMITTER, #1\
3\. BASE, #2\
4\. EMITTER, #2\
5\. COLLECTOR, #2\
6\. COLLECTOR, #2\
7\. COLLECTOR, #1\
8\. COLLECTOR, #1\
\
STYLE 2:\
PIN 1. COLLECTOR, DIE, #1\
2\. COLLECTOR, #1\
3\. COLLECTOR, #2\
4\. COLLECTOR, #2\
5\. BASE, #2\
6\. EMITTER, #2\
7\. BASE, #1\
8\. EMITTER, #1\
STYLE 6:\
PIN 1. SOURCE\
2\. DRAIN\
3\. DRAIN\
4\. SOURCE\
5\. SOURCE\
6\. GATE\
7\. GATE\
8\. SOURCE\
STYLE 10:\
PIN 1. GROUND\
2\. BIAS 1\
3\. OUTPUT\
4\. GROUND\
5\. GROUND\
6\. BIAS 2\
7\. INPUT\
8\. GROUND\
STYLE 14:\
PIN 1. N−SOURCE\
2\. N−GATE\
3\. P−SOURCE\
4\. P−GATE\
5\. P−DRAIN\
6\. P−DRAIN\
7\. N−DRAIN\
8\. N−DRAIN\
STYLE 18:\
PIN 1. ANODE\
2\. ANODE\
3\. SOURCE\
4\. GATE\
5\. DRAIN\
6\. DRAIN\
7\. CATHODE\
8\. CATHODE\
STYLE 22:\
PIN 1. I/O LINE 1\
2\. COMMON CATHODE/VCC\
3\. COMMON CATHODE/VCC\
4\. I/O LINE 3\
5\. COMMON ANODE/GND\
6\. I/O LINE 4\
7\. I/O LINE 5\
8\. COMMON ANODE/GND\
STYLE 26:\
PIN 1. GND\
2\. dv/dt\
3\. ENABLE\
4\. ILIMIT\
5\. SOURCE\
6\. SOURCE\
7\. SOURCE\
8\. VCC\
STYLE 30:\
PIN 1. DRAIN 1\
2\. DRAIN 1\
3\. GATE 2\
4\. SOURCE 2\
5\. SOURCE 1/DRAIN 2\
6\. SOURCE 1/DRAIN 2\
7\. SOURCE 1/DRAIN 2\
8\. GATE 1\
\
STYLE 3:\
PIN 1. DRAIN, DIE #1\
2\. DRAIN, #1\
3\. DRAIN, #2\
4\. DRAIN, #2\
5\. GATE, #2\
6\. SOURCE, #2\
7\. GATE, #1\
8\. SOURCE, #1\
STYLE 7:\
PIN 1. INPUT\
2\. EXTERNAL BYPASS\
3\. THIRD STAGE SOURCE\
4\. GROUND\
5\. DRAIN\
6\. GATE 3\
7\. SECOND STAGE Vd\
8\. FIRST STAGE Vd\
STYLE 11:\
PIN 1. SOURCE 1\
2\. GATE 1\
3\. SOURCE 2\
4\. GATE 2\
5\. DRAIN 2\
6\. DRAIN 2\
7\. DRAIN 1\
8\. DRAIN 1\
STYLE 15:\
PIN 1. ANODE 1\
2\. ANODE 1\
3\. ANODE 1\
4\. ANODE 1\
5\. CATHODE, COMMON\
6\. CATHODE, COMMON\
7\. CATHODE, COMMON\
8\. CATHODE, COMMON\
STYLE 19:\
PIN 1. SOURCE 1\
2\. GATE 1\
3\. SOURCE 2\
4\. GATE 2\
5\. DRAIN 2\
6\. MIRROR 2\
7\. DRAIN 1\
8\. MIRROR 1\
STYLE 23:\
PIN 1. LINE 1 IN\
2\. COMMON ANODE/GND\
3\. COMMON ANODE/GND\
4\. LINE 2 IN\
5\. LINE 2 OUT\
6\. COMMON ANODE/GND\
7\. COMMON ANODE/GND\
8\. LINE 1 OUT\
STYLE 27:\
PIN 1. ILIMIT\
2\. OVLO\
3\. UVLO\
4\. INPUT+\
5\. SOURCE\
6\. SOURCE\
7\. SOURCE\
8\. DRAIN\
\
STYLE 4:\
PIN 1. ANODE\
2\. ANODE\
3\. ANODE\
4\. ANODE\
5\. ANODE\
6\. ANODE\
7\. ANODE\
8\. COMMON CATHODE\
STYLE 8:\
PIN 1. COLLECTOR, DIE #1\
2\. BASE, #1\
3\. BASE, #2\
4\. COLLECTOR, #2\
5\. COLLECTOR, #2\
6\. EMITTER, #2\
7\. EMITTER, #1\
8\. COLLECTOR, #1\
STYLE 12:\
PIN 1. SOURCE\
2\. SOURCE\
3\. SOURCE\
4\. GATE\
5\. DRAIN\
6\. DRAIN\
7\. DRAIN\
8\. DRAIN\
STYLE 16:\
PIN 1. EMITTER, DIE #1\
2\. BASE, DIE #1\
3\. EMITTER, DIE #2\
4\. BASE, DIE #2\
5\. COLLECTOR, DIE #2\
6\. COLLECTOR, DIE #2\
7\. COLLECTOR, DIE #1\
8\. COLLECTOR, DIE #1\
STYLE 20:\
PIN 1. SOURCE (N)\
2\. GATE (N)\
3\. SOURCE (P)\
4\. GATE (P)\
5\. DRAIN\
6\. DRAIN\
7\. DRAIN\
8\. DRAIN\
STYLE 24:\
PIN 1. BASE\
2\. EMITTER\
3\. COLLECTOR/ANODE\
4\. COLLECTOR/ANODE\
5\. CATHODE\
6\. CATHODE\
7\. COLLECTOR/ANODE\
8\. COLLECTOR/ANODE\
STYLE 28:\
PIN 1. SW\_TO\_GND\
2\. DASIC\_OFF\
3\. DASIC\_SW\_DET\
4\. GND\
5\. V\_MON\
6\. VBULK\
7\. VBULK\
8\. VIN\
\
onsemi and are trademarks of Semiconductor Components Industries, LLC dba onsemi or its subsidiaries in the United States and/or other countries. onsemi reserves\
the right to make changes without further notice to any products herein. onsemi makes no warranty, representation or guarantee regarding the suitability of its products for any particular\
purpose, nor does onsemi assume any liability arising out of the application or use of any product or circuit, and specifically disclaims any and all liability, including without limitation\
special, consequential or incidental damages. onsemi does not convey any license under its patent rights nor the rights of others.\
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**onsemi,** , and other names, marks, and brands are registered and/or common law trademarks of Semiconductor Components Industries, LLC dba “onsemi” or its affiliates and/or subsidiaries in the United States and/or other countries. onsemi owns the rights to a number of patents, trademarks, copyrights, trade secrets, and other intellectual property. A listing of onsemi’s product/patent coverage may be accessed at [www.onsemi.com/site/pdf/Patent−Marking.pdf](/content/site/pdf/Patent%E2%88%92Marking.pdf). onsemi reserves the right to make changes at any time to any products or information herein, without notice. The information herein is provided “as−is” and onsemi makes no warranty, representation or guarantee regarding the accuracy of the information, product features, availability, functionality, or suitability of its products for any particular purpose, nor does onsemi assume any liability arising out of the application or use of any product or circuit, and specifically disclaims any and all liability, including without limitation special, consequential or incidental damages. Buyer is responsible for its products and applications using onsemi products, including compliance with all laws, regulations and safety requirements or standards, regardless of any support or applications information provided by onsemi. “Typical” parameters which may be provided in onsemi data sheets and/or specifications can and do vary in different applications and actual performance may vary over time. All operating parameters, including “Typicals” must be validated for each customer application by customer’s technical experts. onsemi does not convey any license under any of its intellectual property rights nor the rights of others. onsemi products are not designed, intended, or authorized for use as a critical component in life support systems or any FDA Class 3 medical devices or medical devices with a same or similar classification in a foreign jurisdiction or any devices intended for implantation in the human body. Should Buyer purchase or use onsemi products for any such unintended or unauthorized application, Buyer shall indemnify and hold onsemi and its officers, employees, subsidiaries, affiliates, and distributors harmless against all claims, costs, damages, and expenses, and reasonable attorney fees arising out of, directly or indirectly, any claim of personal injury or death associated with such unintended or unauthorized use, even if such claim alleges that onsemi was negligent regarding the design or manufacture of the part. onsemi is an Equal Opportunity/Affirmative Action Employer. This literature is subject to all applicable copyright laws and is not for resale in any manner.\
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