Formation of a transmission-line transformer providing a frequency-dependent impedance transformation ratio

摘要

A transformer for connection between a generator and a load may be formed by connecting n transmission lines together, in series at one end and in parallel at the other end. The transmission lines are configured to each have a characteristic impedance of {square root over (R_G+L |Z_L+L (f₀+L |)}, where f₀ is the frequency at which each transmission line is one quarter of a wavelength long (quarter-wavelength frequency), |Z_L(f₀)| is the magnitude of the load impedance at the quarter-wavelength frequency, and R_G is the generator resistance. The transformer exhibits a frequency-dependent impedance transformation ratio, allowing a more efficient impedance match of a generator to a load having a frequency-dependent impedance, such as an antenna.