11. Magnetically Coupled Circuits

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Magnetically coupled circuits

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Presentation transcript:

11. Magnetically Coupled Circuits All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press CIRCUITS by Ulaby & Maharbiz

All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Magnetic Coupling Current i1 induces flux Φ11 in coil 1 And flux Φ12 in coil 2 Magnetic linkage in coil 1: In coil 2: All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Dot Convention: Defines directions of windings All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press Dot Convention: Defines directions of windings

Polarities All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Equivalent Inductance All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press Equivalent Inductance

Transformers The coupling coefficient k defines the degree of magnetic coupling between the coils: 1. loosely coupled pair: k < 0.5 2. tightly coupled coils: k > 0.5 3. perfectly coupled coils: k = 1. The magnitude of k depends on the physical geometry of the two-coil configuration and the magnetic permeability μ of the core material. All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Coupling Coefficient All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Input Impedance All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Ideal Transformers All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Thevenin Equivalent As seen by source 1 As seen by source 2 All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Autotransformers All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Three-Phase Transformers All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Three-Phase Transformers n = N2/N1 All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press Summary

All rights reserved. Do not copy or distribute All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press Summary (cont.)