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Installed Valve Characteristic Calculator

A valve’s inherent characteristic changes once it is installed in a system where pressure drop varies with flow. See the installed flow at each travel for linear and equal percentage trims.

Installed vs inherentAuthorityEqual percentageLinear
: 1
%
Installed flow at 50 % travel25.2 %
Inherent flow at this travel14.1 %
How this result was calculated
  1. q = 1 ÷ √(N ÷ φ² + 1 − N), where φ is the inherent relative flow

Flow versus travel

TravelInherent flowInstalled flow
0 %0.0 %0.0 %
10 %3.0 %5.4 %
20 %4.4 %8.0 %
30 %6.5 %11.8 %
40 %9.6 %17.3 %
50 %14.1 %25.2 %
60 %20.9 %36.4 %
70 %30.9 %51.1 %
80 %45.7 %68.4 %
90 %67.6 %85.9 %
100 %100.0 %100.0 %
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Installed Characteristic

q = 1 ÷ √(N ÷ φ² + 1 − N)

q is installed flow as a fraction of maximum, φ the inherent relative flow coefficient at that travel (linear: x; equal percentage: Rx−1) and N the valve authority. Pressure drop in the rest of the system is assumed to vary with flow squared.

Worked example

An equal percentage valve (R = 50) at 50 % travel passes 14.1 % of maximum flow inherently, but with N = 0.3 it passes about 25 % installed.

Key insight: equal percentage trims are chosen precisely because low authority straightens them towards a linear installed response, which keeps loop gain more constant.
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Frequently Asked Questions

What is an installed characteristic?

The actual relationship between valve travel and flow in a real system, where pressure drop across the valve changes with flow.

Why does authority change the characteristic?

At low flow the system loses little pressure, so the valve sees more ΔP and passes more flow than its inherent curve suggests.

Which characteristic should I choose?

Equal percentage for most flow and pressure loops with moderate authority; linear when the valve takes most of the system drop.

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