How do I simulate a rooftop solar array?

Open this page and use the live Insulation Optimizer 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 rooftop solar array from your own measurements.

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Insulation Optimizer for a rooftop solar array

Simulate a rooftop solar array live in your browser. This runs the real Insulation Optimizer solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

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Thermal Resistance

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Composite Wall Heat TransferLive

R-value & U-value

Controls

Presets

Drywall (mm)

Insulation (mm)

Brick (mm)

Inside temp (°C)

Outside temp (°C)

Heat flows through a wall like current through resistors in series. Each layer's thermal resistance is its thickness over its conductivity; adding them gives the total R-value, and the heat flux is the temperature difference divided by it. Insulation, with very low conductivity, dominates the R-value — the steep temperature drop shows where it does its work.

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Data Inspector

Total R-value2.71 m²K/W

U-value0.37 W/m²K

Heat flux9.6 W/m²

Governing equation

R = \sum \frac{L _{i}}{k _{i} A} = 2.71 \frac{m ^{2} K}{W}, Q = \frac{Δ T}{R} = 9.6 \frac{W}{m ^{2}}

Reading this result: The insulation layer carries the most thermal resistance, so the temperature falls most steeply across it. A total R-value of 2.71 m²K/W lets 9.6 W/m² flow for this 26°C difference.

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

↓

Carbon Footprint

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Carbon FootprintLive

your annual CO₂ in tonnes

8.7

tonnes CO₂ per year

Electricity

1.9 t

Driving

2.3 t

Flights

2.0 t

Diet

2.5 t

Controls

Presets

Electricity (kWh/month)

Driving (km/year)

Flights (short-haul/yr)

Diet

Your carbon footprint is the sum of the greenhouse gases your lifestyle emits each year. The big levers are usually flying, driving, home energy, and diet. The global average is about 4.7 tonnes per person, but a livable-planet target is closer to 2 tonnes. Estimates use typical emission factors and will vary by region.

▶ Run in Python

Data Inspector

Total footprint8.7 t CO₂/yr

vs global avg1.8×

vs 2t target4.3× over

Governing equation

E_{t o t a l} = i \sum a_{i} f_{i} = 1.9 + 2.3 + 2.0 + 2.5 = 8.7 t CO_{2} /yr

Reading this result: Diet is your single biggest slice at 2.5 t of the 8.7 t total, so that is where a cut moves the needle most — one long-haul flight can outweigh a whole year of driving.

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

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About this simulation

The full Insulation Optimizer tool models a rooftop solar array 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 Insulation Optimizer

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Frequently asked questions

How do I simulate a rooftop solar array?: Open this page and use the live Insulation Optimizer 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 rooftop solar array from your own measurements.