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Studying controllability and observability of a class of models arising in power systems.



Maryam Kamgarpour

    With increasing deployment of smart grid infrastructure, power systems operations and electricity markets are changing. Instead of power supply following demand, portions of demand can now be molded to fit supply, which is especially important in power systems with intermittent renewable resources such as wind or solar. Residential thermostatically controlled loads (TCLs), such as air conditioners, are suited for such purposes. We can control a large group (aggregation) of these loads to achieve aggregate system behavior such as following variable wind energy output while ensuring the control actions are non-disruptive to the end users. The objective of this project is to study controllability and observability of an aggregation of thermostatically controlled loads.

Project Description
    A main challenge in controlling aggregate behavior of TCLs is developing a dynamical system model that is simple enough for optimization and control, while it is rich enough to capture the power consumption of the aggregate loads. Several classes of models including partial differential equations and stochastic equations have been proposed. The project steps are then as follows: (a) Mathematically understand the proposed models by reviewing the previous work. (b) Focus on a class of models based on Partial differential equation (PDE). (c) Understand the controllability and observability of this class of models. (d) Develop a control algorithm based on the PDE model.

Required Skills
    Basic knowledge in differential equations, control theory, linear system theory, probability theory, MATLAB.
Acquired Skills
    Mathematical modeling of dynamical systems, partial differential equations, controllability and observability, hybrid systems, stochastic systems, independent thinking, and scientific writing.

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Maryam Kamgarpour

Art der Arbeit:
Anzahl StudentInnen:
Status: done