Talha Anwar received his BS from Lahore University of Management Sciences (LUMS), Pakistan, and is now a graduate student in the Electrical and Computer Systems Engineering Department at Rensselaer Polytechnic Institute, USA. His interests lie in the interface of power electronics and power systems. His work is focused on topologies and control structures of converters used in renewable energy systems. He intends to work in energy consulting after his graduate study.
Project: Study of Dynamical Systems Using Circuits
The project is about the exploration of dynamical systems using the space of electrical networks with defined circuit components and all sets of possible circuit topologies. Different circuit components, including linear, nonlinear, passive and active two-port elements were considered as fundamental components of the space. These components include resistor, capacitor, inductor, current source, diode and nonlinear negative resistance. Once the space of elements has been defined and possible sets of all the elements have been constructed, graphs of underlying circuit topologies are constructed. Based on the selected elements and circuit topology, Kirchhoff’s current law is used to write coupled differential equations of the circuit. These equations describe the behavior of circuits and can be solved to obtain the response of the system. The plots are studied to find interesting behavior that can be characterized as periodic behavior, chaotic behavior or a nonzero steady state.