1 / 12

ECE 3336 Introduction to Circuits & Electronics

In Lecture Set #8 by Dr. Han Le of the ECE Department, learn about phasors and their application in analyzing time-varying circuits and signals. The lecture covers essential mathematical techniques such as harmonic functions, complex analysis, and Fourier analysis. Phasors serve as valuable tools for simplifying the study of AC circuits, making complex problems more manageable. This lecture provides a foundational understanding to leverage mathematical tools effectively for real-world circuit applications, signal processing, and ensuring successful circuit design.

gus
Télécharger la présentation

ECE 3336 Introduction to Circuits & Electronics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. ECE 3336 Introduction to Circuits & Electronics Lecture Set #8 Method for Linear Circuit: Phasor Part 1: Background Dr. Han Le ECE Dept.

  2. Note: The main lecture is in the Mathematica file – this is only for basic discussion Phasors: AC Circuits – Background Concepts

  3. Outline • Time-varying circuits and signals • Introduction to mathematical techniques: • Harmonic functions • Complex analysis • Fourier analysis and transform • Phasors • Applications of mathematical techniques to physical problems and circuits

  4. It is more natural to have time-varying signals & circuits than time-constant circuits

  5. An example of signal

  6. Mathematical tools and techniques • Certain mathematical tools and techniques are highly useful for certain types of problems • For NVM and MCM, linear algebra (the math principle) and matrix (the tool) is highly useful • For time-varying signals and AC circuits, it will be Fourier transform (the math principle) and phasor (the tool) • Again, it is important to use the tool rather than get lost or tangled with the tool

  7. So, phasor is worth learning because it makes things so easy

  8. Outline • Time-varying circuits and signals • Introduction to mathematical techniques: • Harmonic functions • Complex analysis • Fourier analysis and transform • Phasors • Applications of mathematical techniques to physical problems and circuits

  9. Harmonic function Fourier transform Phasors Complex numbers &analysis

  10. Link to Mathematica file

  11. Outline • Time-varying circuits and signals • Introduction to mathematical techniques: • Harmonic functions • Complex analysis • Phasors • Fourier analysis and transform • Applications of mathematical techniques to physical problems and circuits

  12. Applications of mathematical techniques Harmonic function Fourier transform • Signal and AC circuit problems • RLC or any time-varying linear circuits. Applicable to linear portion of circuits that include nonlinear elements • Signal processing • signal analysis (spectral decomposition) • filtering, conditioning (inc amplification) • synthesizing Phasors Complex number &analysis

More Related