Symbolic and numeric DAE approach for dynamical system simulation

The plant model is usually modeled to ODE formulation, and simulated numerically ODE solver. But many real world plant models are naturally expressed to DAE formulation that means simultaneous equation of differential equation and algebraic equation. To solve DAE, we will introduce INDEX concept that means like metric form DAE to ODE. Reducing technique form high-INDEX to INDEX-1 is important, because INDEX-1 solver has already developed. In this paper, we would like to express summary of DAE problem and INDEX reduction method, and benchmark simple example to show that DAE solving technology is important about plant modeling and simulation.