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PCB microstrip line equivalent circuit - QuickField simulation example

This is an example of the microstrip line simulation, performed with QuickField software.

Engineering question

How to find equivalent circuit parameters of microstrip line?

Engineering answer
Set up a plane-parallel QuickField Transient Magnetics problem for a PCB microstrip line and evaluate equivalent circuit parameters from computed field results.

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Typical applications
microstrip transmission lines, high-speed PCB traces, planar RF interconnects

PCB microstrip line equivalent circuit

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Simulation problem

Problem Type
Plane-parallel problem of Transient magnetics.

Geometry
PCB microstrip line equivalent circuit This is an example of the microstrip line AC conduction simulation, performed with QuickField software. Dielectric (ε=4.3) Copper 200 μm 420 μm 35

Given
Line length Lz = 5 inches
Voltage source resistance matches the load resistance and matches the load resistance.
Driver voltage pulse magnitude 2V, pulse duration 5 ns, front 0.25 ns.

Task
Calculate voltage pulse propagation in the matched line.

Solution
We use line parameters calculated in Microstrip self impedance example to construct electric circuit:
Lumped inductance L = 67 nH, lumped capacitance C = 7.8 pF.
Load resistance Rload = Source resistance Rsource = PCB impedance Z0 = 92.7 Ohm.
We subdivide circuit in n = 30 segments to simulate pulse propagation.
Distributed-element model inductance L' = L/n = 2.23 nH, capacitance C' = C/n = 0.26 pF.

Result
Time delay is 0.75 ns (per 5 inches). Time diagram of signal propagation.
PCB microstrip line equivalent circuit

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  • PCB microstrip line equivalent circuit

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