How do I simulate a phase-locked loop?

Open this page and use the live Transmission Sag tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a phase-locked loop from your own measurements.

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Transmission Sag for a phase-locked loop

Simulate a phase-locked loop live in your browser. This runs the real Transmission Sag solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Thermal Expansion

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Thermal ExpansionLive

materials grow with heat

Controls

Presets

Original length (m)

Temperature change (°C)

Heat a material and it expands: ΔL = α·L·ΔT, where α is the coefficient of linear expansion. Area grows at twice that rate and volume at three times. It is why bridges have expansion joints, why rails buckle in heat, and why Invar — with almost zero expansion — is prized for precision instruments.

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Data Inspector

α23 µm/m·°C

Length change11.5 mm

Area change0.230 m²

Volume change3.450 m³

Governing equation

Δ L = α L_{0} Δ T = (23 \times 1 0^{- 6}) (10) (50) = 11.5 mm

Reading this result: Heating 10 m of Aluminum by 50°C stretches it about 11.5 mm; area and volume grow 2× and 3× as fast.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Transmission Line

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Transmission Line & VSWRLive

impedance matching · reflections

Controls

Speed1×

Presets

Line impedance Z₀ (Ω)

Load resistance RL (Ω)

Load reactance XL (Ω)

When a transmission line meets a load that does not match its impedance, part of the wave reflects. Incident and reflected waves combine into a standing-wave pattern measured by the VSWR. A perfect match (RL = Z₀, XL = 0) gives VSWR 1 and no reflection — the goal of every antenna and RF design.

▶ Run in Python

Data Inspector

Reflection |Γ|0.200

VSWR1.50 : 1

Return loss14.0 dB

Matchpoor

Governing equation

∣Γ∣ = \frac{Z _{L} - Z _{0}}{Z _{L} + Z _{0}} = 0.200, VSWR = 1.50

Reading this result: A large resistive mismatch reflects much of the wave, giving a high VSWR and deep nulls in the standing-wave pattern.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Transmission Sag tool models a phase-locked loop with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Transmission Sag

Transmission Sag for an RLC circuit Transmission Sag for a power supply Transmission Sag for a transformer Transmission Sag for a DC motor Transmission Sag for an op-amp filter Transmission Sag for an antenna Transmission Sag for a transmission line Transmission Sag for a PCB trace

Other ways to simulate a phase-locked loop

Fourier Transform for a phase-locked loop Bode Plot for a phase-locked loop Filter Designer for a phase-locked loop PID Controller for a phase-locked loop Transmission Line for a phase-locked loop Op-Amp Circuits for a phase-locked loop

Frequently asked questions

How do I simulate a phase-locked loop?: Open this page and use the live Transmission Sag tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a phase-locked loop from your own measurements.