Exact Solution of a Constrained Optimization Problem in Thermoelectric Cooling

摘要

We consider an optimization problem in thermoelectric cooling. The maximum achievable cooling temperature in thermoelectric cooling is, among other things, affected by the Seebeck coefficient profile of the inhomogeneous materials. Mathematically, the maximum cooling temperature is a non-linear functional of the Seebeck coefficient function. In this study, we solve this optimization problem exactly.