Graduation Year

2023

Document Type

Dissertation

Degree

Ph.D.

Degree Name

Doctor of Philosophy (Ph.D.)

Degree Granting Department

Electrical Engineering

Major Professor

Wilfrido A. Moreno, Ph.D.

Committee Member

Chung Seop Jeong, Ph.D.

Committee Member

Fernando Falquez, Ph.D.

Committee Member

D. Yogi Goswami, Ph.D.

Committee Member

Danvers E. Johnston, Ph.D.

Keywords

6 Parameter PV Model, PV 5 Parameter Verification, PV Statistical Equation Simplificati, Transcendental Equation Free PV I-V Plot

Abstract

This dissertation analyzes Photovoltaic PV equations and models for silicon based systems from a Systems Engineering framework. Background information includes an introduction, a summary of the state of PV use, a brief history of photovoltaics, and the detailed derivation of equations that enable the finding of the PV parameters contained in the PV models.The novel inquiry, leveraging systems engineering frameworks, includes three areas useful in analyzing PV equations and models. The first is a statistical verification of common simplifications of PV equations at the primary conditions of short circuit, open circuit, and maximum power. Additional analysis shows other simplifications that should and should not be utilized. The second is a novel systems engineering methodology to verify parameter solutions found when solving the equations derived from the Five Parameter PV Model. Once the five parameters were determined and verified, existing methods to plot a PV current-voltage I-V curve require solving the transcendental PV equation for each data point. The third novel idea presents a Six Parameter Model, which enables graphing the PV I-V curve without solving the PV five parameter transcendental equation.

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