RF Systems, Components, and Circuits Handbook, Second Edition

Chapter 15: RF Transformer Devices and Circuits

This chapter discusses RF transformer devices and circuits. Topics include conventional transformers, core material for RF transformers, IF amplifier transformers, HF wideband conventional transformers, transmission-line transformers, and power combiners and splitters. Some of the information presented is based on [1], [2], [3].

15.1 Conventional Transformers

Figure 15.1 shows a conventional two-winding transformer with windings on a ferrite core. In an ideal transformer, the following relationships apply:




Figure 15-1: Conventional transformer with two windings.

In practice in a real transformer, winding loss, leakage inductance, and magnetizing inductance must be taken into account. That may be done using the equivalent circuits in Figure 15.2.


Figure 15-2: Equivalent circuits for conventional two-winding transformer: (a) low-frequencies equivalent circuit; (b) intermediate-frequencies equivalent circuit; and (c) high-frequencies equivalent circuit.

Nomenclature for these circuits is as follows:

  • C p = primary equivalent shunt capacitance

  • C s = secondary equivalent shunt capacitance

  • E g = rms generator voltage

  • E out = rms output voltage

  • L m = magnetizing inductance

  • L p = primary leakage inductance

  • L s = secondary leakage inductance

  • R c = core-loss equivalent shunt resistance

  • R g = generator resistance

  • R L = load resistance

  • R p = primary winding resistance

  • R s = secondary winding resistance

The LF response of a conventional transformer is degraded by a shunt susceptance that appears across the primary winding. The magnetizing inductance, L m, of the transformer is given by


where:

  • n

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