Abstract
This paper concerns the application of reduced order modeling techniques to power grid simulation. Swing dynamics is a complex non-linear phenomenon due to which model order reduction of these problems is intricate. A multi point linearization based model reduction technique trajectory piece-wise linearization (TPWL) method is adopted to address the problem of approximating the nonlinear term in swing models. The method combines proper orthogonal decomposition with TPWL in order to build a suitable reduced order model that can accurately predict the swing dynamics. The method consists of two stages, an offline stage where model reduction and selection of linearization points is performed and an online stage where the reduced order multi-point linear simulation is performed. An improvement of the strategy for point selection is also proposed. The TPWL method for a swing dynamics model shows that the method provides accurate reduced order models for non-linear transient problems.
Highlights
Transient stability of the power grids is a keen area of research because of its implications in the power system planning, operation and control
A multi point linearization based model reduction technique trajectory piece-wise linearization (TPWL) method is adopted to address the problem of approximating the nonlinear term in swing models
The TPWL method for a swing dynamics model shows that the method provides accurate reduced order models for non-linear transient problems
Summary
Transient stability of the power grids is a keen area of research because of its implications in the power system planning, operation and control. Trajectory piecewise-linear methods are not limited to just power electronics and control systems applications, there are vast areas of research where the application of TPWL based model order reduction will be beneficial [23,24]. The study by He et al [23] involves the implementation of TPWL macromodeling for subsurface flow simulations. We implemented TPWL method to accurately obtain a reduced order model for the nonlinear transient dynamics of power grids, mathematically modeled by swing dynamics. “Numerical experiments” section provides a couple of test cases as an example and the robustness of the application of TPWL method
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Advanced Modeling and Simulation in Engineering Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.