Thirty-five years of Pai and
Still Hungry for MorePete Sauer
Grainger Chair Professor of Electrical Engineering
October 15, 2015
1981 - The first named professor in the UIUC College of Engineering
Mangalore Anantha PaiGrainger Professor
3.14159265358979323
In a 1988 report to the Grainger Foundation,M. E. VanValkenburg
(Grainger Professor and Dean of Engineering) presented:
Faculty change since 1978
Lost 4
P. R. Egbert (retired)M. S. Helm (retired)D. F. Hang (retired)R. W. Burtness (retired)
Gain 4
P. W. SauerM. A. PaiM. IlicP. T. Krein
1982 – 2014 (90 papers – next 14 slides)
K. D. Demaree, M. A. Pai and P. W. Sauer, "Trajectory Approximations and
Iterative PEBS Method in Direct Stability Analysis"
S. Ahmed-Zaid, P. W. Sauer, M. A. Pai and M. K. Sarioglu, "Reduced Order
Modelling of Synchronous Machines Using Singular Perturbations“
P. W. Sauer, I. N. Hajj, M. A. Pai and T. N. Trick, "Computer Methods in Electric
Network Analysis"
S. Ahmed-Zaid, P. V. Kokotovic, M. A. Pai and P. W. Sauer, "Dynamic
Aggregation in Higher Order Multi-machine Models"
P. W. Sauer, K. D. Demaree and M. A. Pai, "Stability Limited Load Supply and
Interchange Capability"
M. A. Pai, K. D. Demaree and P. W. Sauer, "Transient Energy Margins and
Sensitivity Models for Dynamic Security Assessment”
P. W. Sauer, S. Ahmed-Zaid and M. A. Pai, "Systematic Inclusion of Stator
Transients in Reduced Order Synchronous Machine Models"
M. A. Pai, P. W. Sauer and K. D. Demaree, "Direct Methods of Stability Analysis
in Dynamic Security Assessment"
P. W. Sauer and M. A. Pai, "Electric Utilities and Universities Staying Ten Years
Ahead-Together”
P. W. Sauer, J. P. Christensen and M. A. Pai, "Piecewise Linear Transient
Stability Analysis Using Direct Integration Energy Evaluation"
M. A. Pai, K. Khorasani and P. W. Sauer, "Multi-machine Stability Analysis Using
Time Scale Decomposition"
M. A. Pai, P. W. Sauer and K. Khorasani, "Singular perturbations and large scale
power system stability"
P. W. Sauer, S. Ahmed-Zaid and M. A. Pai, "Nonlinear decoupling in a class of
quadratic two-time-scale systems with applications to synchronous machines"
P. V. Kokotovic, P. W. Sauer and M. A. Pai, "The slow manifold in power system
dynamic models”
J. H. Chow, J. R. Winkelman, M. A. Pai and P. W. Sauer, "Application of singular
perturbations theory to power system modeling and stability analysis"
M. Martina, M. A. Pai and P. W. Sauer, "Torque-angle loop analysis of power
systems with improved machine model"
A. K. Behera, M. A. Pai and P. W. Sauer, "Analytical approaches to determine
critical clearing time in multi-machine power system"
K. Khorasani, M. A. Pai and P. W. Sauer, "Modal-based stability analysis of
power systems using energy functions"
P. W. Sauer, D. J. LaGesse, S. Ahmed-Zaid and M. A. Pai, "Reduced-order
modeling of interconnected multi-machine power systems using time-scale
decomposition"
P. W. Sauer, C. Rajagopalan, M. A. Pai and A. Varghese, "Critical modes and
voltage instability in power systems"
J. H. Chow, J. R. Winkelman, M. A. Pai and P. W. Sauer, "Model reduction and
energy function analysis of power systems using singular perturbation
techniques"
M. A. Pai, P. W. Sauer, H. Othman, J. H. Chow and J. R. Winkelman,
"Decoupled stability analysis of large scale power systems using integral
manifold approach"
M. A. Pai, H. Othman, P. W. Sauer, J. H. Chow and J. R. Winkelman,
"Application of integral manifold theory in large scale power system stability
analysis"
P. W. Sauer, A. K. Behera, M. A. Pai, J. R. Winkelman and J. H. Chow,
"Trajectory Approximations For Direct Methods That Use Sustained Faults With
Detailed Power System Models"
P. W. Sauer, M. A. Pai, M. Ilic and P. T. Krein, "The Electric Power Engineering
Program at UIUC"
P. W. Sauer, A. K. Behera, M. A. Pai, J. R. Winkelman and J. H. Chow, "A Direct
Method for Transient Stability Analysis of Power Systems With Detailed Models"
C. Rajagopalan, P. W. Sauer and M. A. Pai, "Steady-State Stability Analysis in
Power Systems: Comparison of Algorithms”
F. Dobraca, M. A. Pai and P. W. Sauer, "Dynamic Security Assessment Including
Relay Performance"
A. Varghese, P. W. Sauer and M. A. Pai, "Time Scale Analysis of Excitation
Control"
M. A. Pai, P. W. Sauer and F. Dobraca, "A New Approach to Transient Stability
Evaluation in Power Systems"
M. A. Pai and P. W. Sauer, "Stability Analysis of Power Systems by Lyapunov's
Direct Method"
A. Varghese, P. W. Sauer and M. A. Pai, "Synchronous Machine Block Diagram
Analysis With Fast Dynamics"
C. Rajagopalan, P. W. Sauer and M. A. Pai, "An Integrated Approach to Dynamic
and Static Voltage Stability"
P. W. Sauer and M. A. Pai, "Power System Steady-State Stability and the Load-
Flow Jacobian"
M. A. Pai and P. W. Sauer, "New Approaches to Dynamic Security Assessment“
P. W. Sauer and M. A. Pai, "Steady-State Stability and Load Flow“
M. A. Pai and P. W. Sauer, "A Framework for Application of Generalized
Kharitonov's Theorem in the Robust Stability Analysis of Power Systems"
P. W. Sauer, C. Rajagopalan and M. A. Pai, "An Explanation and Generalization
of the AESOPS and PEALS Algorithms"
J. H. Chow, J. R. Winkelman, M. A. Pai and P. W. Sauer, "Singular Perturbation
Analysis of Large-Scale Power Systems“
M. A. Pai, A. Y. Kulkarni and P. W. Sauer, "Parallel Dynamic Simulation of Power
Systems“
P. W. Sauer, R. J. Evans, Jr. and M. A. Pai, "Maximum unconstrained loadability
of power systems"
M. A. Pai, P. W. Sauer and K. R. Padiyar, "Direct methods in stability analysis in
power systems: future directions for research"
F. Dobraca, M. A. Pai and P. W. Sauer, "Fast dynamic simulation of power
systems for security assessment"
F. Dobraca, M. A. Pai and P. W. Sauer, "Relay margins as a tool for dynamic
security assessment"
J. T. Sterling, M. A. Pai and P. W. Sauer, "A methodology of secure and optimal
operation of a power system for dynamic contingencies“
P. W. Sauer and M. A. Pai, "Power system security in a less regulated
environment“
C. Rajagopalan, B. C. Lesieutre, P. W. Sauer and M. A. Pai, "Dynamic aspects of
voltage/power characteristics"
P. W. Sauer, B. C. Lesieutre and M. A. Pai, "Dynamic vs. static aspects of
voltage problems"
M. A. Pai and P. W. Sauer, "Mathematical issues in security enhancement of
large scale power systems,"
P. W. Sauer, B. C. Lesieutre and M. A. Pai, "Transient algebraic circuit models of
power systems
P. W. Sauer and M. A. Pai, "Modeling and simulation of multi-machine power
system dynamics”
M. A. Pai, P. W. Sauer and F. Dobraca, "A new trajectory approximation
technique for transient stability studies"
M. A. Pai, P. W. Sauer and R. K. Ranjan, "Robust Control Theory Application In
Power System Stability"
M. A. Pai, P. W. Sauer, A. Y. Kulkarni, "Conjugate Gradient Approach to Parallel
Processing in Dynamic Simulation of Power Systems"
M. A. Pai, P. W. Sauer, A. Y. Kulkarni, "Conjugate Gradient Approach to Parallel
Processing in Dynamic Simulation of Power Systems"
T. J. Overbye, M. A. Pai and P. W. Sauer, "A Composite Framework for
Synchronous and Voltage Stability in Power Systems"
B. C. Lesieutre, P. W. Sauer and M. A. Pai, "Sufficient Conditions on Static Load
Models for Network Solvability"
R. K. Ranjan, M. A. Pai and P. W. Sauer, "Steady State Stability In Power
Systems With Nonlinear Voltage Dependent Loads"
T. J. Overbye, M. A. Pai and P. W. Sauer, "Some Aspects of the Energy Function
Approach to Angle and Voltage Stability Analysis in Power Systems"
P. W. Sauer, B. C. Lesieutre and M. A. Pai, "Maximum Loadability and Voltage
Stability in Power Systems"
P. W. Sauer, B. C. Lesieutre and M. A. Pai, "Transient Algebraic Circuits for
Power System Dynamic Modeling“
M. A. Pai, P. W. Sauer, B. C. Lesieutre and R. Adapa, "Structural Stability in
Power Systems: Effect of Load Models"
M. A. Pai, M. Laufenberg and P. W. Sauer, "Evaluation of Path Dependent
Integrals in the Energy Function Method"
B. C. Lesieutre, P. W. Sauer and M. A. Pai, "Why Power/Voltage Curves Are Not
Necessarily Bifurcation Diagrams“
P. W. Sauer, M. A. Pai and S. J. Zhao, "Phasor Representations of Power
System Transients"
R. K. Ranjan, M. A. Pai and P. W. Sauer, "Analytical Formulation of Small Signal
Stability Analysis of Power Systems with Nonlinear Load Models"
M. A. Pai, R. K. Ranjan and P. W. Sauer, "Robust Stability In Power Systems
With Nonlinear Loads Using Generalized Kharitonov's Theorem”
B. C. Lesieutre, P. W. Sauer and M. A. Pai, "Development and Comparative
Study of Induction Machine Based Dynamic P, Q Load Models"
P. W. Sauer and M. A. Pai, "A Comparison of Discrete vs Continuous Dynamic
Models of Tap-Changing-Under-Load Transformers”
M. A. Pai, P. W. Sauer, and A. Y. Kulkarni, "A preconditioned iterative solver for
dynamic simulation of power systems”
C. D. Vournas, M. A. Pai, P. W. Sauer, "The Effect of Automatic Voltage
Regulation on the Bifurcation Evolution in Power Systems”
M. A. Pai, P. W. Sauer, and B. C. Lesieutre, "Static and dynamic nonlinear loads
and structural stability in power systems“
C. D. Vournas, P. W. Sauer, and M. A. Pai, "Time-scale decomposition in voltage
stability analysis of power systems”
M. A. Pai, M. Laufenberg and P. W. Sauer, "Some Clarifications in the transient
energy function method“
C. D. Vournas, P. W. Sauer, and M. A. Pai, "Relationships between voltage and
angle stability of power systems”
A. Y. Kulkarni, M. A. Pai, and P. W. Sauer, "Power System Dynamic Response
Calculations Using Krylov Subspace Method“
C. D. Vournas, P. W. Sauer, and M. A. Pai, "Critical Eigenvalue Computation in
Partly Regulated Power Systems“
C. D. Vournas, M. A. Pai, and P. W. Sauer, "Power System Stability Analysis
Using Singular Perturbation”
A. Y. Kulkarni, M. A. Pai, and P. W. Sauer, "Parameter Tuning of the GMRES
Method for Dynamic Simulation of Power Systems“
S. R. Fernandes, P. W. Sauer, and M. A. Pai, "Quantification of Parameter
Importance in Power Systems Steady-State Stability Analysis”
P. W. Sauer and M. A. Pai, "Power System Dynamics and Stability"
I. Hiskens, M. A. Pai and P. W. Sauer, "An Iterative Approach to Calculating
Dynamic ATC”
B. C. Lesieutre, P. W. Sauer and M. A. Pai, "Existence of Solutions for the
Network/Load Equations in Power Systems“
P. W. Sauer, C. Kammin, T. B. Nguyen, and M. A. Pai, "Transmission Line
Eigenvalues - Two to Infinity“
C. D. Vournas, G. Manos, P. W. Sauer and M. A. Pai, "Effect of Overexcitation
Limiters on Power System Long-Term Modeling”
A. Y. Kulkarni, M. A. Pai, and P. W. Sauer, "Iterative Solver Techniques in
Fast Dynamic Calculations of Power Systems“
P W. Sauer and M. A. Pai, “Relationships between power system dynamic
equilibrium, load flow, and operating point stability”
E. H. Abed, N. S. Namachchivaya, T. J. Overbye, M. A. Pai, P. W. Sauer and A.
Sussman, “Data-Driven Power System Operations”
S. Liu, Peter W. Sauer, D. Chaniotis and M. A. Pai, “Krylov Subspace and
Balanced Truncation Methods for Power System Model Reduction”