The Wilkinson Power Divider conversion calculator helps determine the impedance values and resistor required for a two-way Wilkinson divider based on system impedance and power ratio. It calculates Z1, Z2, Z3, Z4, and RW for both equal and unequal splits, ensuring proper matching and isolation in RF circuits.
Formulas
Z1 = Z0 * ( ( (PA/PB)^-1.5 + (PA/PB)^-0.5 )^0.5 )
Z2 = Z0 * ( ( 1 + (PA/PB)^0.5 )^0.25 )
Z3 = Z0 * ( (PA/PB)^-0.25 )
Z4 = Z0 * ( (PA/PB)^0.25 )
RW = Z0 * ( (PA/PB)^0.5 + (PA/PB)^-0.5 )
Formula Explanation
- Z0 is the characteristic impedance of the system, usually 50 ohm or 75 ohm.
- PA and PB are the output powers from each port, and their ratio defines the impedance scaling for unequal splits.
- Z1 represents the input branch impedance for proper matching to Z0.
- Z2, Z3, and Z4 are the branch impedances that ensure correct power division and impedance matching.
- RW is the isolation resistor that maintains high port-to-port isolation.
Uses of this calculator
- Designing equal or unequal Wilkinson power dividers in RF systems.
- Determining isolation resistor and branch impedance values.
- Analyzing and verifying circuit impedance matching.
- Educational use for understanding power division in microwave circuits.
50 ohm equal split Wilkinson power divider
Input: Z0 = 50 ohm, PA = 1, PB = 1
Output:
- Z1 = 70.71 ohm
- Z2 = 59.46 ohm
- Z3 = 50.00 ohm
- Z4 = 50.00 ohm
- RW = 100.00 ohm