A closed form expression for the rise time of a gate driving a distributed RLC line is introduced that is within 8% of dynamic circuit simulations for a wide range of RLC loads. It is shown that the rise time decreases as the inductance effect increases. Also, a closed form expression for the maximum percentage overshoots is introduced that is within 5% error of dynamic circuit simulations. The expressions introduced here are analytical and differentiable over all damping conditions. Hence, these solutions are suitable for design and optimization tools.
Noha H. Mahmoud, Yehea I. Ismail