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Calculate Pump Energy Savings the Right Way

Don’t be like Jim. Let Bentley’s OpenFlows Water do the hard work to help you save time, energy, and cost.

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Tom Walski, Ph.D, P.E, Industry Analyst and Bentley Fellow

Collage of industrial water pump systems, featuring blue pipe setups with valves and a pressure gauge, and a large red and blue vertical pump in a facility.

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A junior engineer, let’s call him Jim, walked into his manager’s office with a grin on his face. ā€œDo you want to give me my award now, or do you want to wait until I finish the design for the new pump station?ā€

His manager, Dan, lifted his head: ā€œExplain why you deserve an award. Or is it just for your great personality?ā€ he joked.

Jim smiled. He had just been talking with a salesman for variable speed drives, or VFDs, which give users more control over motor speeds to adjust flow. ā€œThe salesman said we could save a huge amount of pumping energy if we installed VFDs on the pumps in the new station.ā€

ā€œHow so?ā€ Dan asked.

ā€œEasy,ā€ Jim waved his hand. ā€œIt’s the pump affinity laws, which say that a reduction in power used is proportional to the reduction in speed cubed.ā€

P(reduced) = (Reduced speed/Full speed)3(Power(full)

Jim went through his calculations. ā€œIf we need a 50-horsepower pump at full speed, say 1170 rpm, and reduced the speed to 930 rpm, we would use the calculation 25 hp = (930/1170)3 (50),ā€ he said. ā€œReducing the speed to 80% would save us half of the power. Big power savings.ā€

Dan shook his head. ā€œWhere did you say you got your engineering degree, from a Cracker Jack box? Did you check the pump performance? With OpenFlows Water from Bentley Systems, you have the world’s best software to do those calculations. It doesn’t sound as if you used it. Come around to my side of the desk.ā€

Jim’s smile faded, and he timidly walked around while Dan adjusted his monitor so they both could see the hydraulics modeling application in action, just like thousands of engineers do each day to understand their water distribution systems.

ā€œLet’s create a new scenario in your model with a variable speed pump and set its controls,ā€ Dan said. He typed some values, clicked his mouse a few times, and right-clicked Pump Curve on the screen. A series of arcing curves appeared, with each curve representing a different speed.

Performance curve graph for pump PMP-1 showing head (ft), flow (gpm), and efficiency (%) with multiple curves and data points plotted.
ā€œYou have a pump that’s capable of 70% efficiency running at 63%, 60%, and even 45% efficiency as flows vary over the course of a day,ā€ Dan said. ā€œNote those points on the curves.ā€

“Now let’s look at how the original constant speed pump would do,ā€ Dan said as he switched scenarios. Up came another display.

A pump performance curve graph showing head (blue line, left y-axis) and efficiency (red line, right y-axis) plotted against flow rate (x-axis, gpm).
ā€œThe constant speed pump runs at the same efficient speed with an efficiency of around 69%, and it turns off when its job is done. The most cost-effective speed to run a pump is ā€˜Off.’ If you buy the right pump for the system, when it is on, it’ll be running efficiently,ā€ Dan said.

Jim sheepishly asked, ā€œHow does this look over the course of the day?ā€

Dan pulled up another set of graphs. ā€œTime series graphs are easy,ā€ he said. ā€œJust pick the pump and the parameter you want to graph. In our case, we’ll look at three parameters: the relative speed—that’s actual speed divided by full speed; wire-to-water efficiency from the electrical power entering the motor to the water; and cost per million gallons pumped. Here’s your answer.ā€

Line graph showing changes in relative speed factor, wire-to-water efficiency, and cost per plant volume over a 24-hour period for PPM and EPICSControl systems.
ā€œA picture is worth a thousand words,ā€ Dan said. ā€œIn the top graph, the blue line shows changes of speed with the VFD. The magenta line shows when the constant speed pump is off or on. The middle graph shows that the constant speed pump, the cyan-colored line, is more efficient when it’s on than the variable speed pump, the red line. But the constant pump isn’t always on like the variable speed pump. The bottom line is clear: The cost to run the constant speed pump is lower than the variable speed pump over the entire day.ā€

Jim asked, ā€œCan I just find a cost summary for a given scenario?ā€

Dan smiled. ā€œJust hit the summary tab,ā€ he said.

Table compares energy usage, costs, and volume between constant speed and variable speed pumps, showing lower energy use and costs for constant speed and higher volume for variable speed.
Dan did some quick math to calculate the annual cost difference: (75.39 – 62.82) x 365. ā€œThat means saving $4,588 per year with constant speed pumping. Plus, we wouldn’t need to buy a VFD,ā€ Dan said. ā€œLast I heard, they aren’t giving those away for free.ā€

ā€œSo, I should never use a variable speed pump?ā€ Jim asked.

Dan grimaced. ā€œNo, there are a lot of situations where variable speed pumping is valuable. The point is that you need to analyze the life cycle energy costs of the pumps when you are selecting them. OpenFlows Water does the hard work for you.

ā€œAnd this one run we did for average day flows shouldn’t be the end of the analysis,ā€ Dan added. ā€œYou should make some runs for max days, different days of the week, or future year flows. In the old days, I had to do these calculations by hand, and I needed to make a number of simplifying assumptions. But with Bentley’s scenario management, you can accurately crank out all the runs you need in no time.ā€

Jim chimed in. ā€œI guess that’s all I need to know about VFDs and pumps?ā€

ā€œNo, you’re just starting out,ā€ Dan said, smiling. ā€œHave you heard about the ā€˜parasitic energy demand’ of a VFD? VFDs take the sine wave of electricity and break it into little pieces, then reassemble it into a sine wave at the frequency you want. It’s pretty amazing technology. But no device is perfectly efficient. Some energy is lost along the way. At full speed, the VFD doesn’t lose much energy. But as the speed slows down, the parasitic demand increases. If you don’t believe me, stand next to a VFD when it’s running. You’ll feel the waste as heat energy coming off.ā€

Jim looked down at his shoes. ā€œI have a lot to learn. Sorry to have taken up your time.ā€

Dan grinned. ā€œThis was a teachable moment, and we both benefited from it. Let me get you a cup of coffee from the breakroom. I’ll tell you some stories about pumps I’ve known and loved.ā€

Jim replied with a smile, ā€œI’d love to hear your stories, but I’ll pass on the breakroom coffee. It tastes like activated sludge.ā€

Jim raised his eyebrows: ā€œHow would you know how activated sludge tastes?ā€

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