Derive the mutual-inductance of 2-winding IT in terms of the physical parameters of the transformer.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.2P: An ideal transformer with N1=1000andN2=250 is connected with an impedance Z22 across winding 2. If...
icon
Related questions
Question

Derive the mutual-inductance of 2-winding IT in terms of the physical parameters of the transformer.

Expert Solution
Step 1

To derive the mutual-inductance of 2 winding inductive turn in terms of the physical parameter of the transformer. Let L1 and L2 is the self-inductance of the primary and secondary winding.

Mutual inductance is defines the flux of the coil 2 linking with coil 1, λ12. To the current flowing in coil 2.

Electrical Engineering homework question answer, step 1, image 1

Flux linkage of the coil from the 2 to the coil 1. Hence,

Electrical Engineering homework question answer, step 1, image 2

 

Step 2

Similarly, mutual inductance of coil 1 to the coil 2,

Electrical Engineering homework question answer, step 2, image 1

Now assume that all flux produced by each coil links with the other coil. The implication of this is that there is no leakage flux.

The flux from coil 2 linking with coil 1 is equal to the flux from coil 2 linking with coil 2.

Electrical Engineering homework question answer, step 2, image 2

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Single phase transformer
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning