1998 Dec 09
DISCRETE SEMICONDUCTORS
Thermal Considerations
Power Diodes
Valid for:
SC11
General Section Module
Thermal Considerations
Module: THC00X
1998 Dec 09
2
Philips Semiconductors
Power Diodes
Thermal Considerations
THERMAL CONSIDERATIONS
Thermal resistance
Circuit performance and long-term reliability are affected
by the temperature of the chip. Normally, both are
improved by keeping the chip temperature (junction
temperature) low.
Electrical power dissipated in any semiconductor device is
a source of heat. This increases the temperature of the
chip with regard to some reference point, normally an
ambient temperature of 25
°
C in still air. The increase in
temperature depends on the amount of power dissipated
in the device and the net thermal resistance between the
heat source and the reference point. This can be
expressed as:
∆
T
j
= P
tot
×
R
th j-a
where:
∆
T
j
is the increase in junction temperature
P
tot
is the total power generated in the device
R
th j-a
is the thermal resistance from junction to ambient.
Surface mounted devices
Heat transfer can occur by radiation, conduction and
convention. Surface mounted devices lose most of their
heat by conduction when mounted on a substrate.
Referring to Fig.1, heat conducts from its source (the
junction) via the package leads and soldered connections
to the substrate. Some heat radiates from the package into
the surrounding air, where it is dispersed by convection or
by forced cooling air. Heat that radiates from the substrate
is dispersed in the same way.
handbook, halfpage
,
,
,
MBB438
,
,
,,
,,
1
2
3
2
3
4
Fig.1 Heat losses.
Heat radiates from the package ‘1’ to ambient.
Heat conducts via leads ‘2’, solder joints ‘3’ to the substrate ‘4’.
The thermal resistance for surface mounted devices
therefore, can be expressed as:
R
th j-a
= R
th j-tp
+ R
th tp-a
(see Fig.2)
where:
R
th j-a
is the thermal resistance from junction to ambient
R
th j-tp
is the thermal resistance from junction to tie-point
R
th tp-a
is the thermal resistance from tie-point to ambient.
The R
th j-tp
value is essentially independent of external
mounting method and cooling air, but is sensitive to the
materials used in the package construction, the chip
bonding method and the chip area, all of which are fixed.
The R
th tp-a
value depends on the shape and material of
the tracks and substrate. For all package types these
values are given in Table 1 for mounting on (FR4)
printed-circuit board with small pad area. For other pad
areas and printed-circuit board configurations see Fig.3
and “Appendix A”.
The maximum power handling capability (P
tot max
) is given
by:
where:
T
j max
is the maximum junction temperature
T
amb
is the ambient temperature.
Calculating this maximum power handling capability we
have to take into account the maximum junction
temperature of the particular device, the maximum
temperature of the solder joints (110
°
C for long time
Fig.2
Representation of thermal resistance for a
surface mounted diode.
handbook, halfpage
MBH560
ambient
junction
tie
−
point
Rth j
−
a
Rth j
−
tp
Rth tp
−
a
P
tot max
T
j max
T
amb
–
(
)
R
th j-a
-----------------------------------------
=
1998 Dec 09
3
Philips Semiconductors
Power Diodes
Thermal Considerations
reliability) and the ambient temperature. Dependent on the
ratio of the component parts of the thermal resistance, it
will be possible that the junction temperature or the
temperature of the solder joints (T
tp
) will be the limiting
factor. This can be shown in the following examples for
SOT23 and SOD87 packages mounted on FR4
printed-circuit board.
E
XAMPLE FOR THE SOT
23
PACKAGE
This is below 110
°
C, so T
j max
is the limiting factor.
E
XAMPLE FOR THE SOD
87
PACKAGE
This is above 110
°
C, so the P
tot max
will be limited by T
tp
,
therefore:
The P
tot max
values given in Table 1 are based on:
T
amb
= 25
°
C; T
j
= T
j
max; T
tp
≤
110
°
C.
150
°
C
25
°
C
)
–
(
500 K/W
-------------------------------------------------
=
0.25 W
=
P
tot max
T
j max
T
amb
)
–
(
R
th j-a
--------------------------------------------
=
T
tp
T
amb
P
tot max
R
th tp-a
×
+
=
25
°
C
0.25 W
150 K/W
×
62.5
°
C
=
+
=
P
tot max
T
j max
T
amb
)
–
(
R
th j-a
--------------------------------------------
=
175
°
C
25
°
C
)
–
(
150 K/W
-------------------------------------------------
=
1 W
=
T
tp
T
amb
P
tot max
R
th tp-a
×
+
=
25
°
C
1 W
120 K/W
×
145
°
C
=
+
=
P
tot max
T
tp
T
amb
)
–
(
R
th tp-a
-------------------------------------
=
110
°
C
25
°
C
)
–
(
120 K/W
-------------------------------------------------
=
0.71 W
=
Fig.3
Thermal resistance (R
th tp-a
) as a function of
FR4 printed-circuit board pad area.
handbook, halfpage
0
100
200
400
pad area (mm
2
)
Rth tp
−
a
(K/W)
160
120
40
0
80
300
MBH561
1998 Dec 09
4
Philips Semiconductors
Power Diodes
Thermal Considerations
Table 1
Thermal resistance values and maximum power handling capability of surface mounted packages; typical
values
PACKAGE
R
th j-a
(K/W)
R
th j-tp
(K/W)
R
th tp-a
(K/W)
P
tot max
(W)
SOD87
150
30
120
0.71
SOD106(A)
150
25
125
0.68
SOT23
500
330
170
0.25
SOT89
125
15
100
0.85
SOT223
85
15
70
1.21
SOT323 (SC70-3)
625
300
325
0.20
SOT363 (SC70-6)
415
200
215
0.30
SOT457 (TSOP6)
300
150
150
0.42
SO8 (SOT96-1)
155
35
115
0.74
SO20 (SOT163-1)
100
30
70
1.21
SSOP16 (SOT338-1)
145
75
70
0.86
SSOP24 (SOT340-1)
105
35
70
1.19
Leaded devices
Figure 4 illustrates the various components of thermal
resistance for an axial leaded diode mounted with
symmetrical, equal length leads. The thermal resistance
from junction to ambient (R
th j-a
) comprises the following
thermal resistances:
R
th j-p
is the thermal resistance from junction to package
R
th p-tp
is the thermal resistance from package to tie-point
R
th tp-a
is the thermal resistance from tie-point to ambient
R
th p-a
is the thermal resistance from package to ambient.
The values of the thermal components depend on the
diode package type, the lead length and the mounting
method used.
Using the model in Fig.4 and referring to Table 2, values
for the thermal resistance from junction to ambient can be
calculated using the formula:
The maximum power handling capability (P
tot max
) is given
by:
R
th j-a
R
th j-p
R
th p-a
R
th p-tp
R
th tp-a
)
+
(
R
th p-a
R
th p-tp
R
th tp-a
+
+
---------------------------------------------------------------------
+
=
P
tot max
T
j max
T
amb
–
(
)
R
th j-a
-----------------------------------------
=
Fig.4
Representation of thermal
resistance paths for a leaded device.
handbook, halfpage
MBH563
ambient
package
junction
tie
−
point
Rth j
−
a
Rth p
−
tp
Rth tp
−
a
Rth p
−
a
Rth j
−
p
where:
T
j max
is the maximum junction temperature and
T
amb
is the ambient temperature.
Calculating this maximum power handling capability we
have to take into account the maximum junction
temperature of the particular device, the maximum
temperature of the solder joints (110
°
C for long time
reliability) and the ambient temperature. Depending on the
ratio of the component parts of the thermal resistance it is
possible that the junction temperature or the temperature
1998 Dec 09
5
Philips Semiconductors
Power Diodes
Thermal Considerations
of the solder joints (T
tp
) will be the limiting factor. This can
be shown in the following examples for a SOD57 device
mounted on an FR4 printed-circuit board, as shown in
Fig.5:
and
Using values in Table 2:
is simplified to:
Using T
tp
= 110
°
C and T
amb
= 60
°
C the equation
becomes:
This is lower than P
tot max
= 1.15 W (for T
j max
= 175
°
C),
so in this particular case T
tp
= 110
°
C is limiting the
P
tot max
.
R
th j-a
14 K/W
=
429 K/W 38 K/W
70 K/W
+
(
)
429 K/W
38 K/W
70 K/W
+
+
-----------------------------------------------------------------------------
+
100 K/W
=
P
tot max
T
j max
T
amb
–
(
)
R
th j-a
-----------------------------------------
=
175
°
C
60
°
C
)
–
(
100 K/W
-----------------------------------------------
=
1.15 W
=
T
tp
T
amb
R
th p-a
R
th tp-a
×
R
th p-a
R
th p-tp
R
+
+
---------------------------------------------------
th tp-a
P
tot
×
+
=
T
tp
T
amb
=
429 K/W
70 K/W
×
429 K/W
38 K/W
70 K/W
+
+
----------------------------------------------------------------------------
P
tot
×
+
T
tp
T
amb
=
56 K/W
P
tot
×
+
P
tot
T
tp
T
amb
–
(
)
56 K/W
----------------------------------
=
110
°
C
60
°
C
–
(
)
56 K/W
--------------------------------------------
=
0.89 W
=
handbook, halfpage
MGA200
3
2
7
50
25
50
Fig.5
Leaded device mounted on printed-circuit
board 50
×
50 mm.
Dimensions in mm.
Fig.6
Leaded device mounted on printed-circuit
board 35
×
35 mm.
handbook, halfpage
MBH562
3
2
3
35
10
25
35
Dimensions in mm.
1998 Dec 09
6
Philips Semiconductors
Power Diodes
Thermal Considerations
Table 2
Thermal resistance values for leaded packages
All values expressed in K/W, unless otherwise specified.
Notes
1. Device mounted on a 1.5 mm thick epoxy-glass printed circuit board with a copper thickness
≥
40
µ
m.
2. Mounted as in Fig.5.
3. Mounted with copper laminate per lead of 1 cm
2
.
4. Mounted with copper laminate per lead of 2.25 cm
2
.
THERMAL
RESISTANCE
CONDITIONS
SOD57
SOD88A
SOD61
SOD64
SOD83A
SOD81
R
th j-p
14
60
10
28
R
th p-tp
lead length = 5 mm
19
48
7
19
lead length = 10 mm
38
96
14
38
lead length = 15 mm
57
144
21
57
lead length = 20 mm
76
192
28
76
lead length = 25 mm
95
240
35
95
R
th p-a
lead length = 5 mm
586
1261
417
787
lead length = 10 mm
429
843
293
527
lead length = 15 mm
338
633
225
396
lead length = 20 mm
279
507
183
317
lead length = 25 mm
237
423
154
264
R
th tp-a
notes 1 and 2
70
70
70
70
notes 1 and 3
55
55
55
55
notes 1 and 4
45
45
45
45
1998 Dec 09
7
Philips Semiconductors
Power Diodes
Thermal Considerations
APPENDIX A
Additional thermal resistance data for SMD packages
All values are expressed in K/W, unless otherwise specified. The data included in Tables 3 to 5 are the results of
laboratory investigation into the effect of FR4 printed-circuit board pad area and power dissipation on thermal resistance.
Measurements were made with the test samples positioned vertically in still air.
It can be seen that with increased power dissipation, thermal resistance decreases slightly. This is because, as the power
dissipation increases, the resulting higher junction temperature causes increased losses due to radiation and natural
convection.
Table 3
SOT223 package (Thermal resistance junction to ambient)
Table 4
SOT428 package (Thermal resistance junction to ambient}
Table 5
SOT404 package (Thermal resistance junction to ambient)
PCB PAD AREA
(mm
2
)
R
th j-a
(K/W) @ POWER DISSIPATION P
P = 0.5 W
P = 1 W
P = 1.5 W
20
110
110
−
49
99
98
−
81
91
90
90
144
88
87
86
256
78
79
78
484
73
74
73
900
68
69
69
PCB PAD AREA
(mm
2
)
R
th j-a
(K/W) @ POWER DISSIPATION P
P = 0.5 W
P = 1 W
P = 1.5 W
P = 2 W
P = 2.5 W
P = 3 W
20
90
85
−
−
−
−
49
77
75
73
72
−
−
81
71
69
66
65
−
−
144
64
62
60
59
58
−
256
58
56
54
53
52
−
484
54
50
48
47
46
45
900
46
45
43
43
42
41
PCB PAD AREA
(mm
2
)
R
th j-a
(K/W) @ POWER DISSIPATION P
P = 1 W
P = 2 W
P = 3 W
103.5
60
55
−
192
52
47
−
300
47
43
41
475
41
39
37
825
39
36
34
1200
36
34
32