Transformers, motors and magnets based on Bi-2223 tapes have an optimum wor
king temperature where the sum of investment and exploitation costs has a m
inimum. The investment cost is lower at temperatures below 77 K due to the
higher critical current of the superconductor. The exploitation cost is mai
nly determined by the ac loss, which is dominated by the magnetization loss
. The magnetization loss of a Bi 2223 tape at 48 Hz is measured for various
temperatures between 65 and 77 K. The temperature dependence of the magnet
ization loss is fully explained by the change in critical current and agree
s with the critical-state model. At high magnetic-field amplitudes the magn
etization loss normalized with the critical current is independent of the t
emperature. Nevertheless, at lower temperatures the exploitation cost is hi
gher due to the higher cooling penalty factor. A relation for the optimum t
emperature is developed, based on realistic expressions for the cooling pen
alty factor and the critical current as a function of the temperature. The
influence of the other relevant parameters is summarized into a single dime
nsionless number. It is concluded that the optimum temperature of a power d
evice based on Bi-2223 tapes is in the range 65-75 K.