Mathematical Analysis and Optimization Research (MAORG)

Constrained and Stable Solutions of Nonlinear and Semismooth Equations

In this project, we will develop globally and superlinearly convergent methods for solving constrained nonlinear and semismooth equations.

Minimax models will be presented to maximize the distance from a particular operating point to saddle-node bifurcation points and constraint violation points in power systems. Efficient algorithms will be constructed for solving these minimax models. This project will not only address novel problems in the field of nonlinear equations, but also provide efficient tools to prevent catastrophic events in power system.

Research Group: Mathematical Analysis and Optimization Research Group (MAORG)

Project Leader: Professor Liqin Qi (CI) and Dr Musa Mammadov

CIAO members involved in project:

  • Professor Alex Rubinov

Value of Project: $276,000

Grant/Project Number: ARC DP0556685

Commencement date: 2005

Proposed completion date: 2008