1 / 20

E E 2415

E E 2415. Lecture 02 -Mesh Current Analysis. Introduction to Mesh Current Method. More direct than branch equations Fewer equations to solve Express all variables in terms of mesh currents Solution is set of mesh currents Solution completely defines the circuit

stefano-carton
Download Presentation

E E 2415

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. E E2415 Lecture 02 -Mesh Current Analysis

  2. Introduction to Mesh Current Method • More direct than branch equations • Fewer equations to solve • Express all variables in terms of mesh currents • Solution is set of mesh currents • Solution completely defines the circuit • Most Convenient Method to Model Magnetic Coupling (E E 2446 Topic)

  3. Mesh Current Example 1 (1/2) KVL at Mesh 1: KVL at Mesh 2: Using Ohm’s Law:

  4. Mesh Current Example 1 (2/2) Above linear equations can be solved for mesh currents I1 and I2.

  5. Mesh Current Example 1a (1/2) KVL at Mesh 1: KVL at Mesh 2: Solve:

  6. Mesh Current Example 2 (1/2) KVL @ Mesh 1: KVL @ Mesh 2: But:

  7. Mesh Current Example 2 (2/2) Solve for I1 and I2:

  8. Mesh Current Example 2a (1/2) KVL @ Mesh 1: KVL @ Mesh 2: But:

  9. Mesh Current Example 2a (2/2) Solve for I1 and I2:

  10. Forced Mesh (1/2) • No KVL equation possible for mesh 2 • But I2 is known: I2 = Is

  11. Forced Mesh (2/2) KVL for mesh 1: Substitute and Solve:

  12. Forced Mesh Example 3a KVL for mesh 1: Substitute and Solve:

  13. Supermesh Example (1/5) • No KVL possible for meshes 1 or 2 • Use Supermesh (dotted loop) for KVL

  14. Supermesh Example (2/5) Supermesh KVL: Mesh 3 KVL:

  15. Supermesh Example (3/5) Also: Subst for I2:

  16. Supermesh Example (4/5) And: Rearranging the equations:

  17. Supermesh Example (5/5)

  18. Supermesh with Numbers (1/3)

  19. Supermesh with Numbers (2/3)

  20. Supermesh with Numbers (3/3)

More Related