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Operating point

Pump curve versus system curve

Last reviewed 21 October 2026.

The pump curve says how much head a pump can produce at each flow, at one speed, on a stated test liquid. The system curve says how much head the piping requires at each flow. The operating point is where those two statements agree. It is not the best efficiency point unless the piping happens to demand that head, and it is not the flow someone wrote in a spreadsheet unless that flow is the intersection. If you change the piping or the speed and you do not move the intersection on purpose, the pump will move it for you.

The chart uses a fixed 4 in steel example so the only things you change are a discharge throttle and the pump speed. The system curve is CurvePoint’s Darcy-Weisbach evaluation. The speed change uses the app’s affinity function: flow scales with speed, head scales with the square of speed, and the maximum catalog flow scales with speed too. The illustrative pump curve ends at that flow with head still left. It is not a published sheet.

0050175100350150525200700Flow (gpm)Head (ft)
System curveIllustrative pump curve
Static head is 110 ft. Shutoff on the illustration is 80 ft, and the curve ends at 600 gpm with 40 ft still on the page (50% of shutoff). CurvePoint reports no operating point.
00251755035075525100700Flow (gpm)Head (ft)
System curvePump curve at 1750 RPMIllustrative best-efficiency windowOperating point
Open valve at 1750 RPM
482 gpm at 54.1 ft
With the controls above
482 gpm at 54.1 ft
NPSH available now
22.2 ft

Estimates on a fixed 4 in steel line: 6 ft lift, 24 ft discharge static, 15 ft suction, 100 ft discharge. The pump curve is illustrative and ends at catalog flow with head still left. The shaded band is 50–120% of the flow where flow times head is greatest on that illustration. Speed scaling is CurvePoint’s affinity function, a reasonable sketch for a radial-vane impeller and a poorer one for a 2-vane open solids impeller. Not a manufacturer sheet.

Read the intersection before you read the nameplate

A pump curve falls as flow rises. A system curve rises as flow rises, because friction rises, starting from the static head at zero flow. One falling curve and one rising curve cross once in the usual case. That crossing is the capacity you will get and the head you will actually develop. Quoting the flow at best efficiency, or the flow at the end of the curve, without drawing the system curve is how selections miss by a hundred gallons per minute. Build the system curve first. The system curve calculator lets you change pipe size, length, and static head and watch the crossing move.

Two pumps with the same flange and different curves, installed on the same line, run at two different points. The line does not “pull” a flow the pump cannot support, and the pump does not force a flow the line will not pass except by making whatever head the curve allows until the curves meet. If they never meet inside the pump’s flow range, there is no operating point to plot. Running at shutoff, or past the end of the curve, is a bad place to live. This chart does not invent a crossing past maximum catalog flow. It says there is no operating point within the pump’s flow range.

Throttling moves the system curve

A valve on the discharge adds loss. On the chart that is extra K, evaluated as additional discharge head that grows with flow. The system curve lifts and steepens. The pump curve stays where it was. The intersection walks left and usually up: less flow, more head across the pump, and a pressure drop across the valve that does not appear as useful elevation. That is the cost of throttling. It is a legitimate way to trim a pump that is slightly oversized, and a poor way to throw away half the curve for the life of the installation.

Throttling the suction is a different and worse idea. It also adds loss, so the system curve rises and flow falls, but the loss is on the wrong side of the impeller. Available NPSH drops by the same head you added. You can cavitate a pump while you are “just taking a little off the flow.” Put the control valve on the discharge. If the suction already has a strainer or a long lift, do not add a throttle there to make the curve fit. Recheck NPSH at the new, lower flow anyway, because the curve’s required value changes with flow too. The NPSH calculator is the suction ledger; it will not warn you about a discharge valve, and it should not.

Speed change moves the pump curve

Slow the pump and the pump curve shrinks. CurvePoint scales an existing set of points with the affinity relationship: capacity in proportion to speed, head in proportion to speed squared. The end of the curve moves in by the same flow ratio, so a slower pump is not drawn out to the full-speed catalog flow. The system curve does not care what the motor is doing, so it stays put unless you also move a valve. The intersection slides along the system curve to a lower flow and a lower head. Unlike a throttle, you are not holding a large head and burning it. You are asking the pump to make less head because the line, at that lower flow, needs less head.

Affinity scaling is an estimate with conditions. It is a fair sketch for a radial-vane impeller over a modest speed change, and a weaker one for a 2-vane open solids-handling impeller, whose curve shape does not follow the same ratios as cleanly. It assumes the pump is the same machine and the diameter is unchanged. It is not a promise about efficiency, noise, or the NPSH the curve will require at the new speed. Read NPSH from test data at the new speed, or treat the scaled duty as a reason to go get that data. The control on this page runs from 1,000 RPM up to the 1,750 RPM illustration so you can see the direction of the move. Your jobsite speed might be 1,350 RPM, as in the sample study, or something else entirely.

When static head is most of the system, the new duty is the intersection, not the old duty multiplied by the speed ratio. A large slowdown can leave the scaled curve entirely under the system curve. The chart then reports no operating point. If the manufacturer published curves at two speeds, interpolate between those curves. Extrapolating far from a single curve, past about 10 to 15 percent as a rule of thumb, stays a sketch. The affinity-law guide puts both warnings on one pair of Lakeshore systems, one dominated by static head and one by friction.

Compare the two moves on one system

Start from the open-valve point at full speed. Add throttle and watch flow fall while pump head stays high. Put the throttle back to zero and drop speed, and watch flow fall while pump head falls with it. If both moves can hit the process flow, they are not equal. The throttle keeps the pump near a higher head and dumps the difference. The speed change meets the system curve at the head the pipe actually needs. Energy, radial load, and where you sit relative to best efficiency all follow from that geometry. Draw it before you argue about it.

Sometimes you need both. A pump selected for a future force main may be fast and oversized for today’s short line. Slowing it brings the curve down, and a valve provides a hard ceiling if the drive fails high. Model the normal position, not the construction bypass you will forget to open. A partly closed valve left in a vault is a permanent system curve, whether or not the submittal showed it.

The shaded band on the calculator is 50 to 120 percent of an illustrative best-efficiency flow. With no efficiency curve on the sheet, CurvePoint estimates that flow as the point of maximum flow times head. The band is the window Houston’s lift-station manual uses for review. It is that city’s range, and it is a reason to look, not a pass-fail law for every pump.

The intersection is also an NPSH statement

Available NPSH usually gets worse as flow rises, because suction friction rises. The head the pump needs usually gets worse toward the right-hand end of the curve as well. Moving the intersection left with a discharge throttle or a slower speed can improve the margin, or it can move you into a region of the curve you did not read. Moving the intersection right, by cleaning a pipe, opening a valve, or raising speed, can erase a margin that looked comfortable at the design point. Any time the operating point moves, read both curves again. The suction lift guide is where that margin is hardest to find, because the static term already spent part of the atmosphere.

CurvePoint draws this picture on a study: system curve, the curve you plotted, the intersection, and the NPSH check at that flow. The page you are on is the explanation and a small estimate. The calculator is where the pipe, the fluid, and a real sheet belong. The fictional 301 gpm, 49.6 ft intersection is written out in the wastewater example, with the sample PDF and the demo. Plans for the PDF export are on pricing. The homepage is the short version of the same product.

Take the same study into CurvePoint.

The figures on this page are estimates for engineering review. The app keeps the full piping model, the published curve, and the NPSH check together, and Pro exports the PDF that goes with the quote.

Sources

Questions

What is the operating point?
It is the flow and head where the pump curve and the system curve intersect. The pump can only run where the head it produces equals the head the piping demands. There is not a separate duty hiding on one curve alone.
What does throttling do?
Closing a discharge valve adds loss, so the system curve rises and steepens. The intersection moves to less flow and more pump head. Energy is burned across the valve. Throttling the suction is a poor way to control flow because it also spends NPSH.
What does a speed change do?
Slowing the pump scales the pump curve with CurvePoint’s affinity function: flow with speed, head with speed squared. That sketch is more trustworthy for a radial-vane impeller than for a 2-vane open solids-handling impeller. With static head, read the new intersection on the system curve. Do not multiply the old duty by the speed ratio.
Why doesn’t my pump hit the design point?
The design point is a wish until the pump curve and the system curve cross there. A different pipe, a different static level, a throttle, or a speed that was scaled from one published curve can move the intersection. If the curves never cross inside catalog flow, there is no operating point to plot.
Which control should I study first?
Plot both curves at the speed you will actually run, with the valve in its normal position. If the intersection is not the duty you need, compare a throttle against a speed change on the same system curve before you resize the pipe or pick another curve. If several speeds are published, interpolate between them instead of extrapolating far from one curve.