Thevenin decomposition and large-scale optimization

Thevenin Decomposition 1 and Large - Scale Optimization

Thevenin’s theorem, one of the most celebrated results of electric circuit theory, provides a two-parameter characterization of the behavior of an arbitrarily large circuit, as seen from two of its terminals. We interpret the theorem as a sensitivity result in an associated minimum energy/network flow problem, and we abstract its main idea to develop a decomposition method for convex quadratic ...

Hierarchical Overlapping Coordination for Large-Scale Optimization by Decomposition

Decomposition of large engineering design problems into smaller design subproblems enhances robustness and speed of numerical solution algorithms. Design subproblems can be solved in parallel, using the optimization technique most suitable for the underlying subproblem. This also reflects the typical multidisciplinary nature of system design problems and allows better interpretation of results....

A Decomposition-Coordination Approach for Large-Scale Optimization

Decomposition Methods for Large-Scale Optimization of Power Systems

Variable renewable power sources are being integrated into power systems across the world. This restructuring process requires extensions of most parts of the power system infrastructure: generation, transmission, as well as storage capacity. Joint optimization of infrastructure extension and operation is a powerful method to identify technical solutions with minimal economic costs. This optimi...

Large Scale Unconstrained Optimization

This paper reviews advances in Newton quasi Newton and conjugate gradi ent methods for large scale optimization It also describes several packages developed during the last ten years and illustrates their performance on some practical problems Much attention is given to the concept of partial separa bility which is gaining importance with the arrival of automatic di erentiation tools and of opt...