| Summary: |
The concept of adjoint networks is associated with Tellegens theorem -- an important, yet relatively unknown theorem, particularly in the field of power systems. Adjoint networks were first used in the 70s by S.W.Director for sensitivity studies in electronic networks. Today, they are used in many fields, but most notably in physics and for VLSI network design. Application of adjoint networks to power systems has not been a fully successfully story yet.
Major milestones have been the developments by (1) H.B. Puttgen (who worked with Director at University of Florida), (2) L.M. Ferreira (who worked with Puttgen at Georgia Tech), and (3) C.M. Jesus (who has been working with Ferreira at Instituto Superior Tecnico). Those developments consist of (1) application of adjoint networks to compute power system sensitivities, (2) application of adjoint networks to create new power flow equations (not a new method to solve the classic equations, but truly create new equations), and (3) comprehensively analysing the equations, extending their scope, and defining a specific field where the performance of using the new equations will be overwhelming -- the field is power system distribution networks.
It is estimated that the new equations and the new methods will make distribution network analysis more than 100 times faster (as compared to currently used technologies). This increase in speed will represent a tremendous boost for optimization of distribution networks. To prove that is the purpose of this project. |