Abstract
This is the first part of a two-part paper discussing the dynamic performance of power systems over parameter space using the method of normal forms. A new normal form transformation is derived under the second order resonance condition. By using the resonance condition as a guide to indicate detrimental system dynamic performance, the authors propose a computationally efficient method to study the system under varying parameters. An approach to determine the resonance and near-resonance region in the parameter space is developed. For the resonance case, conclusions are drawn by simply examining the analytic solutions. For the near-resonance case, the machine states showing poor performance can be found by tracing the dominant nonlinear modal interaction and mode-machine interaction. The method is tested on the IEEE 50-generator system. The results reveal many interesting characteristics of the system related to resonance and near-resonance, which validates the effectiveness of the method as a useful ana lytical tool for system operation and design. Further work on quantifying the effect of the modal interactions on the machine states is presented in Part II.
Original language | English (US) |
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Pages (from-to) | 444-450 |
Number of pages | 7 |
Journal | IEEE Transactions on Power Systems |
Volume | 16 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2001 |
Externally published | Yes |
Keywords
- Nonlinear analysis
- Normal forms
- Power system dynamics
ASJC Scopus subject areas
- Energy Engineering and Power Technology
- Electrical and Electronic Engineering