1. © Chevron Energy Solutions 2009 Energy Solutions Confidential Solar Calculus Goal: To outline where calculus is useful in the solar industry. December 1 st, 2009

2. Confidential©Chevron Energy Solutions 2009 Wikipedia says… Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. geometryalgebra What is the big “change” in solar PV? Energy production from a solar module So where is it useful to understand calculus? 1.Determining the optimal positioning of a solar panel 2.Calculating the total amount of energy a solar panel produces 3.Comparing different types of solar technologies Calculus: What is it and where is it useful? 2

3. Confidential©Chevron Energy Solutions 2009 Derivatives – Finding the optimal tilt angle for a solar module 3 This concept applies to both immediate positioning and yearly positioning

4. Confidential©Chevron Energy Solutions 2009 Integrals – Seeing the total amount of energy a system produces at different tilt angles 4

5. Confidential©Chevron Energy Solutions 2009 Integrals – Comparing technologies 5 Tracked Stationary

6. Confidential©Chevron Energy Solutions 2009 QUESTIONS? 6