Abstract
The influence of parameters on system states for parametric problems in power systems is to be evaluated. These parameters could be renewable generation outputs, load factor, etc. Polynomial approximation has been applied to express the nonlinear relationship between system states and parameters, governed by the nonlinear and implicit equations. Usually, sampling-based methods are applied, e.g., data fitting methods and sensitivity methods, etc. However, the accuracy and stability of these methods are not guaranteed. This paper proposes an innovative method based on Galerkin method, providing global optimal approximation. Compared to traditional methods, this method enjoys high accuracy and stability. IEEE 9-bus system is used to illustrate its effectiveness, and two additional studies including a 1648-bus system are performed to show its applications to power system analysis.
Original language | English |
---|---|
Pages (from-to) | 500-511 |
Number of pages | 12 |
Journal | Journal of Modern Power Systems and Clean Energy |
Volume | 7 |
Issue number | 3 |
Early online date | 21 Dec 2018 |
DOIs | |
Publication status | Published - 1 May 2019 |
Keywords
- Galerkin method
- Global approximation
- Load flow problems
- Optimal approximation
- Parametric problems
- Polynomial approximation
ASJC Scopus subject areas
- Renewable Energy, Sustainability and the Environment
- Energy Engineering and Power Technology
Fingerprint Dive into the research topics of 'Global optimal polynomial approximation for parametric problems in power systems'. Together they form a unique fingerprint.
Profiles
-
Chenghong Gu
- Department of Electronic & Electrical Engineering - Lecturer
- Centre for Sustainable Power Distribution
Person: Research & Teaching