Abstract
Inclusion of power electronics allows increased controllability and stability in power systems. The simulation of such systems on a large-scale is challenging due to the presence of a large number of switches and nonlinear devices. This paper presents an advanced simulation algorithm to solve the aforementioned problem. The algorithm considers separation of differential algebraic equations (DAEs) on the basis of numerical stiffness and applies hybrid discretization algorithms to simulate the DAEs. The DAEs, in this paper, represent the nonlinear nonautonomous switched system dynamics of power systems. Stability analysis is performed on a general class of nonlinear nonautonomous switched systems to show the constraints under which the proposed algorithm is stable. To show the validity of the proposed algorithm, two case studies are considered: 1) single high-voltage direct current (HVdc) substation based on the modular multilevel converter (MMC); and 2) an example three-terminal MMC-HVdc system. Relaxation techniques are introduced to create a stable interface for the separated DAEs. The developed algorithms are also validated with PSCAD/EMTDC-detailed reference models.
| Original language | English |
|---|---|
| Article number | 8316975 |
| Pages (from-to) | 9215-9224 |
| Number of pages | 10 |
| Journal | IEEE Transactions on Industrial Electronics |
| Volume | 65 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2018 |
Funding
Manuscript received September 26, 2017; revised January 23, 2018; accepted February 21, 2018. Date of publication March 15, 2018; date of current version July 30, 2018. This manuscript has been authored by UT-Battelle, LLC under Contract No. DE-AC05-00OR22725 with the U.S. Department of Energy. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. The Department of Energy will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan). (Corresponding author: Suman Debnath.) The authors are with Oak Ridge National Laboratory, Knoxville, TN 37932 USA (e-mail: [email protected]; [email protected]).
| Funders | Funder number |
|---|---|
| U.S. Department of Energy |
Keywords
- Electromagnetic transient (EMT) simulation
- Lyapunov theory
- nonlinear nonautonomous switched systems
- numerical stiffness
- stability
- stiff decay
