Lumped Multi-Element Z-Y Matching Networks > Rload, Series C/L, Shunt C/L, Series L/C to Match Series R-C or R-L Device

Description

Given a series R-C equivalent input or output circuit of a device, this schematic computes component values of a network in order to conjugately match the device to an output resistance. (The series R-C network can be converted to a series R-L network if the capacitance is set to a negative value, with formula given on the schematic.) Starting from a resistance, RL, the networks generate the complex conjugate impedance via a series C - shunt C - series L ladder network.

Note For certain desired impedances, some of the calculated component values will be negative. These negative components must be replaced with positive ones. For example, negative inductors must be replaced by positive capacitors and negative capacitors must be replaced by positive inductors. The correct component values when such replacements are necessary are calculated on the data display.

Main Schematic Settings

Device equivalent circuit (Series R-C or Series R-L) component values, load resistance, frequency of match, Q of impedance transformation network

Data Display Outputs

• L and C component values of the network
• Reflection coefficient versus frequency (dB and on a Smith chart) looking back into the network from the output resistor, RL, when the other end of the network is terminated in the device's equivalent circuit

Schematic Name

Zmatch1M

Data Display Name

Zmatch1M.dds