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438 SECTION    III Applications


            evaluation of risk of the turbulent energy generated by fluid flow exciting the
            MNFs of the piping. The amplitude of the turbulent energy is a function of the
                         2
            fluid energy (ρν and dynamic viscosity, μ). The goal of this analysis is to quan-
            tify the risk of piping vibration problems. It should be noted that this screening
            method applies to continuous service operation.



            System Dynamic Analyses
            The compressor brings gas from a system of pipes and vessels at suction pres-
            sure to a system of pipes and vessels at discharge pressure. Since gas is com-
            pressible, the pipes and vessels have the capability to store gas. This means that
            while the volume of the pipes and vessels is typically constant, the amount
            (mass) of gas that can be stored depends on the pressure and temperature of
            the gas. We therefore have a system where the piping and vessels determine
            the suction and discharge pressure the compressor will see, and the compressor
            responds to these conditions (and depending on the power available, or the com-
            pressor speed, or some other compressor control setting) with a certain amount
            of flow.
               Operation of centrifugal gas compressors can be defined by three operating
            parameters: speed, head, and flow. Centrifugal compressors have a maximum
            head that can be achieved at a given speed. At that peak head there is a corre-
            sponding flow. This is a stability limit. Operation of the compressor is stable
            provided the head is lower (less resistance in series with the compressor) and
            the flow is greater than these values, that is, the system is stable, as long as
            reductions in head result in increases in flow. Surge occurs when the peak head
            capability of a compressor is reached and flow is further reduced. Depending on
            the dynamic behavior of the compression system, system surge can occur at
            somewhat higher or, seldom, lower flows than the peak head capability. This
            is a particular issue in systems with low-frequency pulsations. When the com-
            pressor can no longer meet the head imposed by the suction and discharge con-
            dition (which are imposed by the compression system), flow reverses.
               Fig. 11.6 shows a compressor map including reverse flow, and the behavior
            when the compressor transitions from normal operation to fully reversed flow.
               When a compressor approaches its surge limit, some of its components (dif-
            fusers, impeller) may start to operate in stall. Surge is the ultimate result of sys-
            tem instability. Surge is what happens after the stability limit of the compression
            system is passed. Not only is this detrimental to meeting the process objectives,
            the resulting axial and radial movement of the rotor can cause damage, some-
            times severe, to the compressor. Surge can be avoided by ensuring that the flow
            through the compressor is not reduced below the flow at peak head.
               The surge avoidance system prevents surge by modulating a surge control
            (bypass) valve around the compressor. A typical system consists of pressure and
            temperature transmitters on the compressor suction and discharge lines, a flow
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