The construction and usage of compact thermal models (CTMs), for the thermal analysis as well as the design of cooling devices for electronic systems, are reviewed. These models have many advantages over the so called detailed models based on 3D simulations, mainly being a convenient and simple quantitative description of the modeled object, when constructional details are either unavailable or too detailed to be of use at the desired level of analysis. However, CTMs have manifested some deficiencies in many cases, in particular, multiple chip modules (MCM) and stacked dies. The opposite approach, detailed modeling, is more reliable, although extremely heavy. A new approach is proposed that solves this dilemma by bridging the gap between compact and detailed models. While retaining all advantages of CTMs, i.e., having a limited number of degrees of freedom and not requiring detailed constructional features, it can attain any required precision level depending on the degree of complexity adopted. It gives reliable results covering all operating conditions including MCM and stacked dies. Moreover, it gives access to data on surface temperature gradients that were never obtained before by compact models and are highly important for reliability issues.

1.
Sabry
,
M. N.
, 2003, “
Dynamic Compact Thermal Models Used for Electronic Design: A Review of Recent Progress
,”
Proceedings of the IPACK03, International Electronic Packaging Technical Conference and Exhibition
, Maui, HI, Paper No. Interpack2003-35185.
2.
Lasance
,
C. J. M.
, 2003, “
Recent Progress in Compact Thermal Models
,”
Proceedings of the 19th IEEE SEMI-THERM Symposium
, Mar., pp.
290
299
.
3.
Sabry
,
M. N.
, 2003, “
Compact Thermal Models for Electronic Systems
,”
IEEE Trans. Compon., Packag. Technol., Part A
,
26
, pp.
179
185
.
4.
Sabry
,
M. N.
, 2005, “
High Order Compact Thermal Models
,”
IEEE Trans. Compon. Packag. Technol.
,
28
(
4
), pp.
623
629
.
5.
Hsu
,
T.
, and
Vu-Quoc
,
L.
, 1994, “
A Rational Formulation of Thermal Circuit Models by Finite Element Method and Model Reduction Techniques for Electro-Thermal Simulation
,”
Proceedings of the IEEE Fourth Workshop on Computers in Power Electronics
, pp.
67
72
.
6.
Da-Guang
,
L.
,
Phanilatha
,
V.
,
Qi-Jun
,
Z.
, and
Nakhla
,
M. S.
, 1995, “
Asymptotic Thermal Analysis of Electronic Packages and Printed-Circuit Boards
,”
IEEE Trans. Compon., Packag. Manuf. Technol., Part A
1070-9886,
18
(
4
), pp.
781
787
.
7.
Digele
,
G.
,
Lindenkreutz
,
S.
, and
Kasper
,
E.
, 1998, “
Fast Electro-Thermal Circuit Simulation Using Reduced Order Models
,”
Proceedings of the Fourth International Workshop on Thermal Investigation of ICs and Microstructures (THERMINIC)
, Cannes, France, pp.
115
120
.
8.
Phanilatha
,
V.
,
Nakhla
,
M. S.
,
Qi-Jun
,
Z.
, and
Da-Guang
,
L.
, 1996, “
Finite Element Transient Thermal Analysis of Electronic Boards and Packages Using Moment-Matching Techniques
,”
Proceedings of the Fifth Intersociety Conference on Thermal Phenomena in Electronic Systems (ITHERM V)
, pp.
391
398
.
9.
Sabry
,
M. N.
, 1999, “
Static and Dynamic Thermal Modeling of IC’s
,”
Microelectron. J.
0026-2692,
30
, pp.
1085
1091
.
10.
Gerstenmaier
,
Y. C.
, and
Wachutka
,
G.
, 2000, “
Time Dependent Temperature Fields Calculated Using Eigenfunctions and Eigenvalues of the Heat Conduction Equation
,”
Proceedings of the Sixth International Workshop on Thermal Investigation of ICs and Systems (THERMINIC)
, Budapest, Hungary, pp.
55
61
.
11.
Zubert
,
M.
,
Napieralski
,
A.
, and
Napieralska
,
M.
, 2000, “
The New General Method for Thermal and Electro-Thermal Model Reduction
,”
Proceedings of the Sixth International Workshop on Thermal Investigation of ICs and Systems (THERMINIC)
, Budapest, Hungary, pp.
62
67
.
12.
Batty
,
W.
,
Christoffersen
,
C. E.
,
Panks
,
A. J.
,
David
,
S.
,
Snowden
,
C. M.
, and
Steer
,
M. B.
, 2001, “
Electrothermal CAD of Power Devices and Circuits With Fully Physical Time-Dependent Compact Thermal Modeling of Complex Nonlinear 3-D Systems
,”
IEEE Trans. Compon. Packag. Technol.
1521-3331,
24
(
4
), pp.
566
590
.
13.
Codecasa
,
L.
,
D’Amore
,
D.
, and
Maffezzoni
,
P.
, 2001, “
Moment Matching Model Order Reduction of Discretized Thermal Networks
,”
Proceedings of the Seventh International Workshop on Thermal Investigation of ICs and Systems (THERMINIC)
, Paris, France, pp.
22
26
.
14.
Codecasa
,
L.
,
D’Amore
,
D.
,
Maffezzoni
,
P.
, and
Batty
,
W.
, 2002,“
Multi-Point Moment Matching Reduction of Distributed Thermal Networks
,”
Proceedings of the Eighth International Workshop on Thermal Investigation of ICs and Systems (THERMINIC)
, Spain, Madrid, pp.
231
234
.
15.
Motto
,
J. V.
, Jr.
,
Karstaedt
,
W. H.
,
Sherbondy
,
J. M.
, and
Leslie
,
S. G.
, 1997, “
Modeling Thyristor and Diodes; On-State Voltage and Transient Thermal Impedance, Effective Tools in Power Electronic Design
,”
Proceedings of the Industry Applications Conference (IAS ’97)
, Vol.
2
, pp.
1182
1189
.
16.
Lasance
,
C.
,
Den Hertog
,
D.
, and
Stehouwer
,
P.
, 1999, “
Creation and Evaluation of Compact Models for Thermal Characterisation Using Dedicated Optimisation Software
,”
Proceedings of the 15th Annual IEEE Semiconductor Thermal Measurement and Management Symposium (SEMI-THERM)
, p.
1
.
17.
Sunde
,
V.
,
Bencic
,
Z.
, and
Jakopovic
,
Z.
, 1999, “
A Temperature-Dependent Electrothermal MOSFET Model for Calculating Its Current Loadability
,”
Proceedings of the IEEE International Symposium on Industrial Electronics (ISIE ’99)
, Vol.
2
, pp.
579
583
.
18.
Schroder
,
S.
, and
De Doncker
,
R. W.
, 2000, “
Physically Based Models of High Power Semiconductors Including Transistor Thermal Behavior
,”
Proceedings of the IEEE Seventh Workshop on Computers in Power Electronics (COMPEL 2000)
, pp.
114
117
.
19.
Szekely
,
V.
, and
Rencz
,
M.
, 2000, “
Thermal Dynamics and the Time Constant Domain
,”
IEEE Trans. Compon. Packag. Technol.
1521-3331,
23
(
3
), pp.
587
594
.
20.
Busani
,
M.
,
Menozzi
,
R.
,
Borgarino
,
M.
, and
Fantini
,
F.
, 2000, “
Dynamic Thermal Characterization and Modeling of Packaged AlGaAs/GaAs Hbts
,”
IEEE Trans. Compon. Packag. Technol.
1521-3331,
23
(
2
), pp.
352
359
.
21.
Igic
,
P. M.
,
Mawby
,
P. A.
, and
Towers
,
M. S.
, 2001, “
Physics-Based Dynamic Electro-Thermal Models of Power Bipolar Devices (Pin Diode and IGBT)
,”
Proceedings of the 13th International Symposium on Power Semiconductor Devices and ICs (ISPSD ’01)
, pp.
381
384
.
22.
Noebauer
,
G.
, 2001, “
Creating Compact Models Using Standard Spreadsheet Software
,”
Proceedings of the 17th Annual IEEE Symposium Semiconductor Thermal Measurement and Management (SEMI-THERM XVII)
, pp.
126
133
.
23.
Rencz
,
M.
, and
Szekely
,
V.
, 2001, “
Dynamic Thermal Multiport Modeling of IC Packages
,”
IEEE Trans. Compon. Packag. Technol.
1521-3331,
24
(
4
), pp.
596
604
.
24.
Pandya
,
K. L.
, and
McDaniel
,
W.
, 2002, “
A Simplified Method of Generating Thermal Models for Power Mosfets
,”
Proceedings of the 18th Annual IEEE Symposium on Semiconductor Thermal Measurement and Management (SEMI-THERM XVIII)
, pp.
83
87
.
25.
Sabry
,
M. N.
, 2005, “
Compact Thermal Models for Internal Convection
,”
IEEE Trans. Compon. Packag. Technol.
1521-3331,
28
(
1
), pp.
58
64
.
26.
Lasance
,
C.
, 2000, “
Two Benchmarks for the Study of Compact Thermal Modelling Phenomena
,”
Proceedings of the Sixth Therminic Workshop
, Budapest, Hungary, pp.
217
222
.
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