Design and Analysis of a Fuse-Protected, ESD-Aware Power Fabric for Lattice-Based Modular STEAM Educational Electronics

We present the design and analysis of a fuse-protected, electrostatic discharge (ESD)-aware power fabric for lattice-based modular STEAM educational electronics, validated on the Zabble board. The proposed substrate integrates three key innovations: a periodic checkerboard stud lattice with stride parameter providing formal Manhattan-distance reachability guarantees to both power and ground, column-selectable multi-rail distribution supporting OFF/GND/3.3V/5V states enabling rapid region energization, and an ESD-aware layout with stitched-via perimeter ground ring, local decoupling capacitors and rail-level resettable fuses. We prove a coverage bound demonstrating that with stride of three, every cell is within at most two steps of both power and ground connections. A rail-sizing rule links copper resistivity, trace length, allowable current, copper thickness and acceptable voltage droop to ensure robust power delivery. We propose placement and assignment algorithms including an even-lattice placer with offset selection, a p-center heuristic for fixed stud budgets, and a greedy current spill routine. Two prototypes achieve less than 50mV worst-case rail drop at 2A, under 2 percent switch loss and below 20 degrees C device rise, while meeting 8kV air and 6kV contact ESD requirements. Classroom trials with 47 students demonstrate configuration time reductions of 2.7 to 3.1 times and error rates reduced by 36 to 41 percent compared with traditional patch-cord methods.