SMART LIGHTING Plotting and Analysis with Matlab K

SMART LIGHTING Plotting and Analysis with Matlab K. A. Connor Mobile Studio Project Center for Mobile Hands-On STEM SMART LIGHTING Engineering Research Center ECSE Department Rensselaer Polytechnic Institute Intro to ECSE Analysis

Matlab Analysis • Importing Data • Some Concepts • • Load Lines Decibels Fourier and Laplace Transforms Bode Plots K. A. Connor 30 October 2020

Importing Data • Matlab Home Tab – Import Data • Select the file to import • Click on the green check mark to import • ‘whos’ to check the variable names & sizes K. A. Connor 30 October 2020

Load Lines • A load line is used in graphical analysis of nonlinear electronic circuits, representing the constraint other parts of the circuit place on a nonlinear device, like a diode or transistor. • It is usually drawn on a graph of the current vs the voltage in the nonlinear device, called the device's characteristic curve. K. A. Connor Match I-V Plots for Solution Wikipedia 30 October 2020

Decibels • To express ratios of amplitudes or amplitudes relative to a standard when values vary over many orders of magnitude K. A. Connor 30 October 2020

Decibels K. A. Connor 30 October 2020

Decibels K. A. Connor 30 October 2020

Transforms • Phasors • Fourier Transforms • Laplace Transforms K. A. Connor 30 October 2020

Bode Plots (Diagrams) • Plot of frequency response of a system • Magnitude • Phase Wikipedia K. A. Connor 30 October 2020

Matlab Bode • Write Laplace Transform transfer function RLCF=tf([0 0 1], [1 e-9 5 e-6 1]); % RLC Circuit Current • Then bode(transfer function) bode(RLCF); grid; K. A. Connor 30 October 2020

Bode Note! K. A. Connor 30 October 2020

LTspice K. A. Connor 30 October 2020

Summary The Powerful Combination: • Experiment • Simulation • Math Modeling Also – Understanding what is necessary rather than everything … usually can be done. K. A. Connor 30 October 2020