Application of Energy Function as a Measure of Error in the Numerical Solution for Online Transient Stability Assessment
-
K. Sarojkumar
and
S. Krishna
Abstract
Online dynamic security assessment (DSA) is a computationally intensive task. In order to reduce the amount of computation, screening of contingencies is performed. Screening involves analyzing the contingencies with the system described by a simpler model so that computation requirement is reduced. Screening identifies those contingencies which are sure to not cause instability and hence can be eliminated from further scrutiny. The numerical method and the step size used for screening should be chosen with a compromise between speed and accuracy. This paper proposes use of energy function as a measure of error in the numerical solution used for screening contingencies. The proposed measure of error can be used to determine the most accurate numerical method satisfying the time constraint of online DSA. Case studies on 17 generator system are reported.
References
1. Henrici P. Discrete variable methods in ordinary differential equations, New York: John Wiley & Sons Inc, 1962.Search in Google Scholar
2. Crow M. Computational methods for electric power systems. New York: CRC Press, 2002.10.1201/9781420058284Search in Google Scholar
3. Chung T, Da-zhong F. A fast approach to transient stability estimation using an improved potential energy boundary surface method. Electr Power Syst Res 1995;34:47–55.10.1016/0378-7796(95)00956-ISearch in Google Scholar
4. Dong Y, Pota H. Fast transient stability assessment using large step-size numerical integration [power systems]. In Generation, Transmission and Distribution, IEE Proc. C, volume 138, IET, volume 138, 1991:377–83.10.1049/ip-c.1991.0047Search in Google Scholar
5. Sanchez-Gasca J, D‘Aquila R, Price W, Paserba J. Variable time step, implicit integration for extended-term power system dynamic simulation. In Power Industry Computer Application Conference, 1995 IEEE, 1995:183–9.10.1109/PICA.1995.515182Search in Google Scholar
6. Zhang H, Yun Z, Sun Y, Liu Y. Studies on selecting proper step-size in transient security assessment. In Power Engineering, 2006 Large Engineering Systems Conf., IEEE, 2006:103–6.10.1109/LESCPE.2006.280370Search in Google Scholar
7. Narasimhamurthi N, Musavi M. A generalized energy function for transient stability analysis of power systems. IEEE Trans Circuits Syst 1984;31:637–45.10.1109/TCS.1984.1085560Search in Google Scholar
8. Pai MA. Energy function analysis for power system stability. Boston Kluwer Academic Publishers, 1989.10.1007/978-1-4613-1635-0Search in Google Scholar
9. Mathematica. Mathematica. Champaign, IL: Wolfram Research Inc., 2010.Search in Google Scholar
10. Washington. University of Washington power system test case archive. [Online], 1999. Available at: http://www.ee.washington.edu/research/pstca/.Search in Google Scholar
11. GNU Octave 3.8.1. 2014. Available at: https://gnu.org/software/octave/.Search in Google Scholar
12. Padiyar KR. Power system dynamics, 2nd ed. Hyderabad: BS publications, 2011.Search in Google Scholar
©2016 by De Gruyter
Articles in the same Issue
- Frontmatter
- Research Articles
- Control of Grid Connected Photovoltaic System Using Three-Level T-Type Inverter
- A New Method for Setting Calculation Sequence of Directional Relay Protection in Multi-Loop Networks
- Performance Analysis of SISFCL with the Variation of Circuit Parameters using Jiles Atherton Hysteresis Model
- Generation Expansion Planning with High Penetration of Wind Power
- Grid Integration of Single Stage Solar PV System using Three-level Voltage Source Converter
- Extraction and Analysis of Inter-area Oscillation Using Improved Multi-signal Matrix Pencil Algorithm Based on Data Reduction in Power System
- A New Control Method to Mitigate Power Fluctuations for Grid Integrated PV/Wind Hybrid Power System Using Ultracapacitors
- Comparative Analysis of Instruments Measuring Time Varying Harmonics
- Application of Energy Function as a Measure of Error in the Numerical Solution for Online Transient Stability Assessment
Articles in the same Issue
- Frontmatter
- Research Articles
- Control of Grid Connected Photovoltaic System Using Three-Level T-Type Inverter
- A New Method for Setting Calculation Sequence of Directional Relay Protection in Multi-Loop Networks
- Performance Analysis of SISFCL with the Variation of Circuit Parameters using Jiles Atherton Hysteresis Model
- Generation Expansion Planning with High Penetration of Wind Power
- Grid Integration of Single Stage Solar PV System using Three-level Voltage Source Converter
- Extraction and Analysis of Inter-area Oscillation Using Improved Multi-signal Matrix Pencil Algorithm Based on Data Reduction in Power System
- A New Control Method to Mitigate Power Fluctuations for Grid Integrated PV/Wind Hybrid Power System Using Ultracapacitors
- Comparative Analysis of Instruments Measuring Time Varying Harmonics
- Application of Energy Function as a Measure of Error in the Numerical Solution for Online Transient Stability Assessment
