NCV887001D1R2G datasheet(12/16 Pages) ONSEMI

Part #	NCV887001D1R2G

Description	Automotive Grade Non-Synchronous Boost Controller

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NCV8870

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COUT = Bulk output capacitor value (F)

rCF = Bulk output capacitor ESR (

W)

ROUT = Equivalent resistance of output load (

W)

Pout = Output Power (W)

L = Boost inductor value or flyback transformer primary

side inductance (H)

rL = Boost inductor ESR (

W)

Ts = 1/fs, where fs = clock frequency (Hz)

R1 and Rlow = Feedback resistor divider values used to set the

output voltage (

W)

VOUT = Device specific output voltage (defined by R1 and

Rlow values) (V)

R0 = OTA output resistance = 3 MW

Sa = IC slope compensation (e.g. 33 mV/

ms for NCV887001)

gm = OTA transconductance = 1.2 mS

D = Controller duty ratio

D’ = 1 − D

Necessary equations for describing the modulator gain

(Vctrl-to-Vout gain) Hctrl_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.

Table 1. BOOST CCM AND DCM TRANSFER FUNCTION EXPRESSIONS

CCM

DCM

Duty Ratio (D)

2R

OUTVdVIN* Rsw_eq)ROUT

VIN

VOUT

*2

V

OUT

2

-V

OUT

R

OUT

R

OUTVIN

2

)2Rsw_eqV

INVOUT*4VdRsw_eqVIN

-4Rsw_eqVOUT

2

*4r

LVdVIN*4rLVOUT

2

)Rsw_eq 2V

OUT

2

2R

OUT

V

OUT

2 ) V

d

VIN

Where:

2

t

LM(M * 1)

t

L +

L

R

OUTTs

VOUT/VIN DC

Conversion Ratio

(M)

1

* D

1

2

1

)

1

)

2D2

t

L

Inductor On-slope

(Sn), V/s

VIN * ILave rL ) Rsw_eq

L

R

i

Where average inductor current:

ILave +

Pout

V

INh

VIN

L

R

i

Compensation

Ramp (mc)

1

)

Sa

Sn

1

)

Sa

Sn

Cout ESR Zero

(

wz1)

1

r

CF COUT

1

r

CF COUT

Right-Half-Plane

Zero (

wz2)

(1

* D)

2

L

R

OUT *

r

CF ROUT

r

CF ) ROUT

*

rL

L

R

OUT

M2L

Low Frequency

Modulator Pole

(

wp1)

2

R

OUT

)

Ts

LM3

mc

C

OUT

1

R

CF COUT

@

2M

* 1

M

* 1

High Frequency

Modulator Pole

(

wp2)

−

2F

SW

1

* 1

M

D

2

Similar Part No. - NCV887001D1R2G

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NCV887001D1R2G Datasheet(PDF) 12 Page - ON Semiconductor

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