An efficient time step control method in transient simulation for DAE system

Adaptive time step control is very important or even crucial in transient simulation for the efficiency of a circuit simulator. Existing methods are mainly based on the formula of the local truncation error (LTE) for solving ordinary differential equations (ODEs), which is an approximation for the circuit simulator solving a system of nonlinear differential algebraic equations (DAEs). In this work, we derived the formula of LTE for DAE system and proposed a new time step control method. Experimental results show that the proposed method works well for industrial circuits.