Presents a Compact Thermal Model (CTM) for a novel radial multistage thermoelectric cooler (TEC) under 1D heat transfer assumptions. By constructing an equivalent thermal resistance network solved via a linear system of equations, nodal temperature profiles are generated rapidly without FEA overhead. Verified against high-fidelity COMSOL Multiphysics simulations (<5% relative error in nominal design regions; Spearman correlation ρ > 0.93 across the global design space), the framework enables statistically sound, high-throughput design space exploration and multi-fidelity optimization for MEMS TECs.

In Computer-Aided Design (CAD), parametric curves enable the creation of arbitrary yet controllable shapes. During sketching, designers often apply geometric constraints such as fixed points or tangency, leading to non-linear systems that are costly to solve in real time. This work presents a linear matrix formulation for enforcing directional tangency constraints without optimization algorithms. The method was implemented in Python and C++, and integrated into a commercial turbomachinery design tool to maintain blade-edge tangency constraints interactively.