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and
bi =
Nis
= const ,
Si
(3.18)
equations (3.17) are modified the following way:
1 2
ì
a
IT
I R - k' (T1 - T0 ) = A(Ta - T0 )
0
ï
2
(3.19)
í
1
ïaIT2 + I 2 R - k' (T2 - T1 ) = A(T2 - Ta )
î
2
Summing up equations (3.19) we derive:
2aIT = ( k' + A)DT
where T =
(3.20)
T2 + T0
is the average module temperature.
2
Solving the following set of equations
ì
ï
ï2aIT = ( k' + A) DT
ï
1 æ U R1 U R2 ö
ï
ç
÷
+
íI =
2 R çè N1
N 2 ÷ø
ï
ï
U
U
ïDT = 1 æç a1 + a 2 ö÷
ï
a çè N1 N 2 ÷ø
î
Principle of Figure-of-Merit Measuring
(3.21)
3-11