NCV887001D1R2G datasheet(13/16 Pages) ONSEMI

Part #	NCV887001D1R2G

Description	Automotive Grade Non-Synchronous Boost Controller

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Manufacturer	ONSEMI [ON Semiconductor]

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NCV8870

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13

Table 1. BOOST CCM AND DCM TRANSFER FUNCTION EXPRESSIONS (continued)

Sampling Double

Pole (

wn)

p

Ts

−

Sampling Quality

Coefficient (Qp)

1

p(mc(1 * D) * 0.5)

−

Fm

1

2M

)

R

OUTTs

LM2

1

2

)

Sa

Sn

1

Sn mc Ts

Hd

h R

OUT

R

i

2V

OUT

D

@

M

* 1

2M

* 1

Control-Output

Transfer Function

(Hctrl_output(f))

Fm Hd

1

) j

2

pf

w

z1

1

* j

2

pf

w

z2

1

) j

2

pf

w

p1

1

) j

2

pf

wnQp

) j

2

pf

wn

2

Fm Hd

1

) j

2

pf

w

z1

1

* j

2

pf

w

z2

1

) j

2

pf

w

p1

1

) j

2

pf

w

p2

Table 2. FLYBACK CCM AND DCM TRANSFER FUNCTION EXPRESSIONS

CCM

DCM

Duty ratio (D)

V

OUT

V

OUT ) NVIN

Where:

V

OUT

NV

IN

2

t

L

t

L +

N2 Lp

Ts ROUT

VOUT/VIN DC Conversion Ra-

tio (M)

N

@ D

1

* D

N

@ D

2

@ t

L

Inductor On-slope (Sn), V/s

VIN

Lp

R

i

VIN

Lp

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

R

OUT

DLp N2

R

OUT

N2 Lp

@

1

M(M

) 1)

Modulator Pole (

wp1)

D 3

t

L

1

) 2

Sa

Sn

) 1 ) D

R

OUT COUT

2

R

OUT COUT

wp2

−

2F

SW

1

D

1

) 1

M

2

Fm

1

D 2

t

L

1

) 2

Sa

Sn

) 2M ) 1

1

Sn mc Ts

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