Here is a part of article by Scott W. Golden, Scott A. Fulton and Daryl W. Hanson, "Understanding centrifugal compressor performance", published in PTQ, spring 2002:
"Centrifugal compressors have performance curves similar to pumps. The major difference is that a compressor moves gas which is compressible, while the pump moves liquid that is not compressible. The compressor curve flow term is always based on inlet conditions. Consequently, inlet gas density influences volumetric flow. Flow is shown on the X-axis and
head on the Y-axis. For a fixed speed, the curve shows that for a known inlet flow rate a fixed head is developed. Centrifugal compressor inlet flow rate increases as the head decreases. Gas plant operating pressure, connected system pressure drop, and gas composition sets the developed head. Increasing suction pressure, decreasing gas plant operating pressure and/or decreasing process system pressuredrop will increase inlet flow rate as long as the compressor is not operating at choke flow.
A compressor curve starts at the surge point and ends at stonewall, or choke flow. The surge point is the head at which inlet flow is at its minimum. At this point, the compressor suffers from flow reversal, which is a very unstable operation that is accompanied by vibration and possible damage. On the other end of the curve is the choke (or stonewall) point. At the choke point, the inlet flow through the compressor cannot increase no matter what operating changes are made. Therefore, the range of compressor performance is defined between these two flow-head limitations.
Typically, the curve is flat near the surge point and becomes steeper as flow is increased. Hence, small head changes near the surge point cause a large increase in compressor capacity. As compressor operation moves toward stonewall, decreasing head has less influence on inlet flow rate because the curve slope increases. As the stonewall point is approached, changes in head will have negligible effect on inlet flow rate.
The performance curve flow rate is based on suction conditions and expressed as inlet cubic feet per minute
(ICFM). It is not standard gas flow metering units. Wet gas is a compressible fluid, therefore changes in compressor
suction conditions that increase gas density will reduce wet gas volumetric flow rate and free up compressor
capacity. Gas density is a function of temperature, pressure, and gas molecular weight. Gas density is calculated from the ideal gas law shown in Equation 1. For a fixed mass flow rate and gas composition, temperature has a small effect on gas density because the temperature term is very large. Conversely, increasing compressor suction pressure will significantly increase gas density and reduce the gas volume. The lower the suction pressure the larger the effect of pressure changes on compressor capacity. For example, increasing pressure from 18.7psia to 20.7psia decreases the inlet gas flow rate by 10.6 per cent for the same mass flow rate. When the suction pressure is 44.7psia the same 2psi change reduces gas volume by only 4 per cent.
Gas density = P (MW)/RT
where
P = gas pressure (absolute)
T = gas temperature (absolute)
MW = gas molecular weight
R = gas constant.
Increasing gas molecular weight (MW) will also increase gas density and reduce volume for a fixed mass flowrate. Reactor and coke drum effluent composition controls gas molecular weight. FCC dry gas typically has a molecular weight in the range of 21–23. Typical propylene/propane mixtures have a molecular weight of 43.5.
As the FCC reactor reduces the dry gas yield and increases heavier C3 and C4s yield, the wet gas molecular weight and wet gas density increase, thus reducing inlet volume. A 5 per cent increase in gas molecular weight decreases inlet volume flow rate by 5 per cent for a fixed temperature and pressure.
Centrifugal compressors do not develop a constant differential pressure; they develop a constant differential polytropic head at a given inlet flow rate. Often, the compressor curves provided by the E&C company or the compressor vendor will report the performance curve as differential pressure versus inlet flow rate. These differential pressure curves represent one set of inlet operating conditions only. They are not sufficient to evaluate the compressor and connected system performance. Understanding the components of this head term is essential when considering the influence of the process operating pressure and the system pressure drop’s effect on compressor capacity. Reducing polytropic head will increase compressor capacity by moving the operating point to the right except at stonewall. The slope of the curve will determine the magnitude of the inlet flow rate increase resulting from a given polytropic head reduction. Process changes that move the operating point to the right include higher gas molecular weight, raising suction pressure, or lowering discharge pressure. Gas temperature changes have little influence on head."