**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

Thursday, October 26, 2017 — 2:00 PM EDT

MC 5417

Milad Farsi

Applied Mathematics, University of Waterloo

Switching Optimal Control with an Application in Maximum Power Point Tracking of Photovoltaic Systems

In recent years, solar energy as a renewable energy source has attracted worldwide attention and many efforts have been spent on developing photo-voltaic(PV) devices and their applications. An effective control algorithm plays an important role in developing efficient solar PV systems. To this objective, various algorithms have already been presented in the literature of power electronics, known as Maximum Power-Point Tracking (MPPT) methods. From a control system’s point of view, solar PV systems can be modeled as a control system for which more complicated and efficient control techniques can be exploited, compared to the classical methods. While the problem of maximizing the output power of PV systems seems fundamentally an optimization problem, the design process of optimal controllers for solar PV systems still remains unclear. In this research, a framework is developed to address the problem of optimal feedback control for solar PV systems. In this way, the switching model of the system is obtained and the stability of the closed-loop nonlinear system is guaranteed by using a Lyapunov function. This Lyapunov function can be considered as an optimal value candidate that satisfies the Hamilton-Jacobi-Bellman equation with a nonquadratic performance functional. Thus, the obtained feedback control law guarantees both optimality and stability conditions, which potentially brings many benefits in the applications. Since the performance of solar PV systems is easily affected by the changing environment, the merits of the proposed control law have been observed under changing ambient temperature and solar radiation power.

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.