Resonant Coupling Networks

Prepared by Dr. Aaron Scher
[email protected]
Oregon Institute of Technology

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References

1. [1] K. Clarke, et. al., Communication Circuits: Analysis and Design, 1971
2. [2] H. Krauss, et. al., "Solid State Radio Engineering", 1980
3. [3] J. Carr, "Secrets of RF Circuit Design", 1991

Resonant coupling networks potpourri

Below are a bunch of images and figures of circuit transforms, examples, and theorems regarding resonant coupling networks, with a focus on magnetic coupling.

Figure 1. High Q approximate equivalent circuits for various parallel, resonant "transformerlike" networks.
Figure 2.Ideal transformer circuit relationships
Figure 3. Coupled inductor equivalent circuits in terms of magnetizing and leakage inductances
Figure 4. Another coupled inductor equivalent circuit in terms of controlled sources
Figure 5. Coupled inductor impedance transformation
Figure 6. Coupled inductor equivalent circuits for transformer and autotransfer in terms of magnetizing and leakage inductances
Figure 7. Auto-transformer equivalent circuits
Figure 8. Tapped inductor (auto-transformer) impedance
Figure 9. Non-ideal tapped inductor (auto-transformer) equivalent input impedance
Figure 10. Non-ideal tapped inductor (auto-transformer) characteristics
Figure 11. Non-ideal tapped inductor (auto-transformer) characteristics
Figure 12. Non-ideal tapped inductor (auto-transformer) characteristics
Figure 13. Equivalent circuit of two coupled inductors connected in series
Figure 14. Just for fun: Decompose a single inductor into two coupled inductors in series
Figure 15. Parallel series conversion formulas for RC networks
Figure 16. Parallel series conversion formulas for RL networks
Figure 17. Summary of the properties of RLC resonant circuits
Figure 18. Design formulas for tapped capacitor circuit
Figure 19. Tapped capacitor circuit design example
Figure 20. Design formulas for tapped inductor circuit
Figure 21. Tapped inductor circuit design example Figure 22. Design formulas for the single tuned transformer
Figure 23. Example: Design of a tuned amplifier
Figure 24. Double tuned transformer equivalent circuit
Figure 25. Double tuned transformer equivalent circuit and insight
Figure 26. Popular forms of tuned RF/IF tank circuits
Figure 27. Tapped capacitor matching example
Figure 28. LTspice confirmation of previous example
Figure 29. Tapped capacitor + tapped inductor matching example
Figure 30. LTspice confirmation of previous example
Figure 31. Hi-Fi switch
Figure 32. Tapped capacitor crystal radio set. sensitivity versus selectivity
Figure 33. Coupling into and out of a filter
Figure 34. Multiple transformers equivalent circuit
Figure 35. Three inductively coupled loops - equivalent circuits
Figure 36. Time domain response of narrow band filters
Figure 37. Impulse response of parallel RLC circuit
Figure 38. Transient response of parallel RLC circuit to sinusoid input
Figure 39. Transient response of parallel RLC circuit to on-off shift keying signal
Figure 40. Narrow band filter response to periodic signal
Figure 41. Parallel RLC network response to impulse train