Compact electro-thermal models of interconnects

A novel projection-based approach is proposed for constructing compact models of the electro-thermal problems for interconnects. The method is robust since it preserves the non-linear structure of the equations. It is efficient, since it is constructed by determining few moments of the Volterra׳s series expansions of the solution. It leads to compact models of small state-space dimensions which can be numerically solved at negligible computational cost and to accurate approximations of the whole space-time distribution of voltages, currents and temperature rises within the interconnects for all significant waveforms of the injected powers.