SC11 THERMAL 1998 1

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1998 Dec 09

DISCRETE SEMICONDUCTORS

Thermal Considerations
Power Diodes

Valid for:

SC11

General Section Module

Thermal Considerations

Module: THC00X

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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

-----------------------------------------

=

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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

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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

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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.

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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

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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


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