Lumped Multi-Element Z-Y Matching Networks > Rload, Shunt C, Series L, Series C for Desired Z

Description

This schematic synthesizes a network that converts a load resistance to an arbitrary impedance at a single frequency. Starting from a resistance, RL, the network generates an impedance via a shunt C - series L - series C ladder network.

Note For certain desired impedances, the calculated inductor value will be negative. This negative inductor must be replaced with a capacitor. The correct capacitor value when such a replacement is necessary is calculated on the data display.

Only impedances in one region (hashed in the figure shown here) of the Smith chart can be generated with this network, and this forbidden region is shown on the schematic.

Main Schematic Settings

Desired impedance, load resistance, frequency of match, Q of impedance transformation network

Data Display Outputs

• L and C component values of the network
• Generated impedance versus frequency, on a Smith chart
• Reflection coefficient versus frequency (dB) looking back into the network from the output resistor, RL, when the other end of the network is terminated in the complex conjugate of the desired impedance

Schematic Name

Zdesired2M

Data Display Name

Zdesired2M.dds