2022/07/06 by Hantao Cui, Cui, Hantao
Engineering · Mathematics · #Algebraic equation #Algebraic number #Applied mathematics #Computer science #Control theory (sociology) #Convergence (economics) #Differential (mechanical device) #Differential algebraic equation #Differential equation #Engineering #FOS: Electrical engineering #Generator (circuit theory) #Key (lock) #Mathematical analysis #Mathematical optimization #Mathematics #Nonlinear system #Numerical methods for differential equations #Ordinary differential equation #Physics #Power (physics) #Power System Optimization and Stability #Rate of convergence #Real-time simulation and control systems #Stability (learning theory) #State variable #Systems and Control (eess.SY) #Transient (computer programming) #Variable (mathematics) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2207.02997
openalex publication_date 2022/07/06 · openalex created_date 2022/07/10 · openalex updated_date 2026/07/28
It is a general notion that, in transient stability simulations, reducing the number of algebraic variables for the differential-algebraic equations (DAE) can improve the simulation performance. Many simulation programs split algebraic variables internal to a dynamic model from the full DAE and evaluate them outside each iterative step, using results from the previous iteration. The updated internal variables are then treated as constants when solving for the current iteration. This letter discusses how such a split formulation can impact simulation performance. Case studies using various systems with synchronous generator and converter models demonstrate the impact of the split on the convergence pattern and simulation performance.