Integration Operator Design for Real-Time Digital Simulation

This paper presents a design technique for integration operators which allows the simulation time step to be chosen independent of the system eigenvalues while guaranteeing stability of the simulation. The technique is particularly useful for the real-time simulation of stiff systems where critical constraints are often imposed on the simulation increment. A significant savings in computation time can be realized with this technique when compared with conventional methods for simulating stiff systems. Examples are presented which illustrate the stability and accuracy properties of this design method.