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RiverMath

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Energy and home

Solar, a heat pump, a power bill, insulation, hot water and an EV kilometre.

Solar yield

A year’s AC energy from array size, a typical regional yield and one or two roof planes.

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Solar sizing

How large a photovoltaic array would cover a chosen share of yearly electricity use.

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Solar payback

A simple payback period from net install cost, self-consumption and the buy and sell prices.

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PV kit

A bill of materials from real modules, mounts, cable, inverters and batteries, with a street-price sketch.

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Heat pump

A year’s space-heat demand from floor area and a rough insulation class, then electricity at a chosen SCOP versus gas.

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Cooling load

A first-pass air-con size from floor area and watts per square metre.

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Heating fuel comparison

The same yearly heat in gas, pellet, coal, wood, oil, resistance heat and a heat pump.

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Domestic hot water

Heat and electricity to raise daily litres by a temperature difference, then a running cost.

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Heat loss through a surface

Kilowatt-hours through a wall, window or roof from U, area and ΔT.

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Gas bill

A month of gas from cubic metres, a kWh factor, energy price and a fixed fee.

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Appliance cost

Kilowatt-hours and the bill for a device from watts and hours a day.

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Water and sewage

A period bill from cubic metres and the water and sewage prices.

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EV running cost

Cost per 100 km and per year for an electric car charged at home and at a public post, against a petrol car.

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EV charge time

Hours to move the battery between two states of charge.

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EV range

Kilometres from usable battery and kWh per 100 km, plus a colder-weather hit.

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Standby draw

A year of a device that never quite switches off.

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LED swap

Kilowatt-hours and money saved by swapping a bulb.

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Heating degree days

Season heat from heating degree days and a UA value.

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