2 Improving Heat Exchanger Circuitry by Using Derivative-Free Optimization

Christopher R. Laughman, Ph.D., Mitsubishi Electric Research Laboratories
While the interconnections between the tubes of a heat exchanger can have a significant
effect on its performance, this circuitry is difficult to design by hand because of the
large number of possible designs and the nonlinear and discontinuous dependence of the
performance on that circuitry. We formulate the circuitry design as a binary constrained
optimization problem, and apply derivative-free optimization (DFO) algorithms. We apply a
number of existing DFO algorithms to this problem, and demonstrate that they can find
optimal or near-optimal circuitry designs for realistic coil sizes after a limited number
of simulations.

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