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442 SECTION    III Applications


            compressor discharge pressure is increased as a function of the cumulative flow
            into the cavity, as a result of filling the cavity with gas. Similar conditions can be
            found in gas gathering applications where (on a much slower scale) the field
            pressure (and with it the compressor suction pressure) declines as a function
            of the cumulative flow out of the gas field. These fields additionally also have
            a strong head-flow relationship, that is, increasing the flow at any given time
            would lower the compressor suction pressure.
               Often, rather than maintaining steady-state conditions, pipelines are oper-
            ated under slowly or rapidly changing operating conditions. There are many
            cases in which the transient system behavior must be considered. For example,
            a pipeline can be operated by feeding more gas into the pipeline than what is
            taken out of the system—otherwise referred to as line packing. While pipelines
            in steady-state conditions have a unique station pressure ratio for a given flow,
            in transient conditions, the steady-state relationships are no longer valid. For
            example, if a centrifugal compressor receives more driver power, and increases
            its speed and throughput rapidly, the station pressure ratio will react very slowly
            to this change (Fig. 11.9). This is due to fact that initially the additional flow has
            to pack the pipeline (with its considerable volume) until changes in pressure
            become apparent. Thus, the dynamic change in operating conditions would lead


               30,000



               25,000



               20,000

              Head  15,000




               10,000



                5000



                  0
                   0      2000   4000    6000    8000   10,000  12,000  14,000
                                             Flow
            FIG. 11.9 Typical operating points if transient conditions are considered, in this case due to a fast
            engine acceleration from 50% to 100% load (Kurz et al. [19]).
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