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Inverter Drive Systems Ltd

IDS are ABB Inverter specialists. We specify, install, commission, repair, service and hire variable speed drives.

Cube Law

When you slow most things down it is quite reasonable to expect that you will save a bit of energy, just think of the difference between running and walking or driving your car more slowly. It is the same in your factory or office block with electric motors, slow them down a bit and they use less energy. If  the application is a conveyor or a mixer then a ten per cent reduction in the motor’s speed is about a ten per cent reduction in energy.

We... Specify, Install, Commission, Service, Repair and Hire, ABB Inverters

IDS has been an ABB inverter partner since 1994 providing complete support and backup to ABB’s market leading products. We are proud to be an ABB VP (Value Provider).

Cube Law

(And how it saves you money)

(And why you need a variable speed drive)

Fans and pumps are different, when you slow centrifugal fans or pumps the energy saving can be spectacular and so therefore is the time it takes to payback your investment. As an example, think of how little effort it takes to spin a small hand held fan to get it going and how much harder it gets as the fan speeds up. This is the same for industrial fans and pumps …. it’s just that the cooling pump in your factory or Air Handling Unit for your office block are normally much bigger, usually oversized and often have  a valve or damper to restrict flow. A damper or flow valve saves a bit of energy but nowhere near as much as slowing down the fan or pump.

Cube Law Explained

The relationship between the speed and power of a fan or a pump is called the Cube Law and can be built up step by step.

The flow is proportional to the speed: 10% slower = 90% flow.

The torque is proportional to the speed squared

The power is proportional to the speed cubed.

Since it is the power that costs the money the graph shows what it look like in practice.

And the sums look like this for slowing down a pump by 20% ………

0.8 x 0.8 x 0.8 equals approx. 50% of the power.

OK 20 % might be a bit ambitious so slowing down the pump by 10%……

0.9 x 0.9 x 0.9 equals approx. 73% of the power.

Cube law graph


The only thing around to reduce the speed is a Variable Speed Drive as we can’t really ask the power generator to reduce the mains frequency!!

Putting this into practice, a 22kW extraction fan running at full load at around 90% efficiency for 8 hours per day for 3 shifts Mon-Fri (4160 hours each year) at 10p per kWh costs £8,231.00 each year to run. If we slowed the fan to 90% speed we would save 27% or £2,222.00 pounds per year – every year. This saving is not far from the price of an ABB 22kW variable speed drive so your investment pays back in around a year – and once again, every year.

So what are you waiting for give us a call on 0115 944 1036 or email [email protected] and book an energy efficiency motor survey and let us show you how you can save money across all of your motors.

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Whether you want to explore better process control, discover just how much energy can be saved with inverter technology or if you have a non-urgent technical query, please complete the form and one of our engineers will be in touch soon.

Alternatively, call 0115 944 1036  for 24/7 breakdown support or email [email protected]

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