This calculator allows you to quickly determine the section impedances and insulation resistance of a Wilkinson power divider for equal or unequal divisions. It simplifies the sizing of RF and microwave power distribution networks.
Useful for RF engineers, antenna designers and students designing or analyzing dividers and combiners with matching and isolation requirements.
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 )
Explanation of formulas
- Z0 is the characteristic impedance of the system, typically 50 Ω.
- PA and PB are the desired powers at the two outputs; their PA/PB ratio sets the impedance scale.
- Z1 to Z4 are the impedances of the line sections necessary to obtain adaptation and power division.
- RW is the insulation resistance between the outputs, ensured to maintain network isolation and stability.
50 ohm equal split Wilkinson power divider
Input : Z0 = 50 Ω, PA = 1, PB = 1
Exit :
- Z1 = 70.7 Ω
- Z2 = 59.46 Ω
- Z3 = 50.00 Ω
- Z4 = 50.00 Ω
- RW = 100.00 Ω
Benefits and uses
- Rapid calculation of values for RF design and prototyping.
- Helps achieve adaptation and isolation in distribution networks.
- Practical for verifications during measurements and laboratory tests.