|
|
A
mathematically precise and physically meaningful theoretical basis for system
stability for general nonlinear systems modeled by differential-algebraic equations
has been developed. Problems in both angle and voltage stability for
the large electric power system provide the practical background for this
work. This research analyzes the system incorporating as much as
possible practically relevant constraints while staying true to the physical
nature of the underlying processes and the inherent limitations of
approximations in modeling (quasi-stationarity and phasor calculus for electric power systems). This
research was performed in collaboration with J. Zaborsky,
V. Venkatasubramanian (the main contributor), X.
Jin and K. Kim
Selected
Publications:
- Methods
for Calculating Oscillations in Large Power Systems, Transactions of the IEEE Power Engineering Society,
12
(4), pp. 1639-1648, 1997,
(with K.Kim, J. Zaborsky,
V. Venkatasubramanian and P. Hirsch)
- Dynamics
of Large Constrained Nonlinear Systems - A Taxonomy Theory, Proceedings of the IEEE, 83,
(11), pp. 1530-1561, 1995, (with V. Venkatasubramanian and J. Zaborszky).
- Local
Bifurcations and Feasibility Regions in Differential-Algebraic Systems, IEEE Transactions on Automatic Control,
40, (12), pp. 1992-2013, 1995,
(with V. Venkatasubramanian and J. Zaborszky).
- Fast
Time-Varying Phasor Analysis in the Balanced
Three Phase Large Electric Power System, IEEE
Transactions on Automatic Control, 40, (11), pp.
1975-1982, 1995, (with V. Venkatasubramanian and J. Zaborszky).
- Current
Status of the Taxonomy Theory of Large Power Systems Dynamics- DAE
Systems with Hard Limits, in Bulk Power
System Voltage Phenomena III - Voltage Stability, Security and
Control, pp. 15-103, 1994,
(with V. Venkatasubramanian, X. Jiang, and J. Zaborszky).
|