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RT8884B
42
DS8884B-01 September 2013
www.richtek.com
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Copyright 2013 Richtek Technology Corporation. All rights reserved. is a registered trademark of Richtek Technology Corporation.
Figure 24. All Kind of R
x
C
x
Constants
For DCLL performance and ICCMAX accuracy, since the
copper wire of inductor has a positive temperature
coefficient, hence when temperature goes high in the heavy
load condition then DCR value goes large simultaneously.
A resistor network with NTC thermistor compensation
connecting between IMON pin and REF pin is necessary,
to compensate the positive temperature coefficient of
inductor DCR. The design flow is as follows:
Step1 : Given the three system temperature T
L
, T
R
and
T
H
, at which are compensated.
Step2 : Three equations can be listed as
×
×
×
×
×
×
∑
∑
∑
4
L
Li
EQ L
i=1
4
R
Li
EQ R
i=1
4
H
Li
EQ H
i=1
DCR (T )
i
R (T ) =1.6
680
DCR (T )
i
R (T ) =1.6
680
DCR (T )
i
R (T ) =1.6
680
Where :
(1) The relationship between DCR and temperature is as
follows :
(2) R
EQ
(T) is the equivalent resistor of the resistor network
with a NTC thermistor
[
]
° ×
−
DCR (T) = DCR (25 C) 1+0.00393 (T 25)
{
}
⎡
⎤
⎣
⎦
EQ
IMON1
IMON2
IMON3
NTC
R (T) = R
+ R
/ / R
+R
(T)
And the relationship between NTC and temperature is as
follows :
−
° ×
1
1
β(
)
T+273 298
NTC
NTC
R
(T) = R
(25 C) e
β
is in the NTC thermistor datasheet.
Step3 : Three equations and three unknowns, R
IMON1
,
R
IMON2
and R
IMON3
can be found out unique solution.
×
−
IMON2
NTCTR
IMON3
IMON1
TR
IMON2
NTCTR
IMON3
R
(R
+R
)
R
= K
R
+R
+R
2
R3
R3
NTCTL
NTCTR
IMON2
NTCTL NTCTR TL
[K
+K (R
+R
)
R
=
+R
R
]α
IMON3
IMON2
R3
R
= -R
+K
Where :
−
−
TH
TR
TH
NTCTH
NTCTR
K
K
α
=
R
R
−
−
TL
TR
TL
NTCTL
NTCTR
K
K
α =
R
R
−
−
TH
TL
NTCTH
NTCTL
R3
TH
TL
(α
/ α )R
R
K
=
1 (α
/ α )
×
TL
CS(TL) CC-MAX
1.6
K
=
G
I
×
TR
CS(TR) CC-MAX
1.6
K
=
G
I
×
TH
CS(TH) CC-MAX
1.6
K
=
G
I
Expected load transient waveform
Undershoot created in V
CORE
Sluggish droop
V
CORE
I
OUT
V
CORE
I
OUT
V
CORE
I
OUT
OUT
LL
I
x R
Δ
OUT
I
Δ
OUT
LL
I
x R
Δ
OUT
I
Δ
OUT
LL
I
x R
Δ
OUT
I
Δ
x
x
x
x
L
R
C =
DCR
×
x
x
x
x
L
R
C <
DCR
×
x
x
x
x
L
R
C >
DCR
×