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Column Pressure Relief 1 1 Column Pressure Relief © 2004 Aspen Technology - All Rights Reserved

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  • Column Pressure Relief 1

    1

    Column Pressure Relief

    2004 Aspen Technology - All Rights Reserved

  • 2 Column Pressure Relief

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    WorkshopThis model illustrates the application of the pressure relief unit operation on a column.

    Under normal operating conditions the overhead from the DePropanizer column is condensed in an Air Cooler, collected in an Accumulator and pumped back to the column (full reflux). The normal operating pressure on the Column Top tray and the Accumulator are 2000 kPa (290 psia) and 1900 kPa (275 psia) respectively.

    A Pressure Relief Valve for the Column will be added and configured to start opening when the Top stage pressure reaches 2205 kPa (320 psia) and fully open at 2275 kPa (330 psia).

    Learning ObjectivesAfter completing this section, you will be able to install a relief valve.

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    Building the SimulationThe Relief Valve operation is used in many situations in which there has been excess pressure build up. Although it is available in Steady State mode, its purpose is to avert situations that occur in a dynamic environment.

    This module continues with the case that was constructed in the previous module.

    Adding the Relief ValveIn this example, install a Relief Valve off the DePropanizer Column Overhead.

    1. Open the case from Module 7.

    2. Add a Relief Valve and enter the following information:

    3. On the Dynamics tab, Specs page of stream ToFlare, activate the Pressure Specification. The pressure of this stream should be atmospheric.

    4. The Relief Valve requires a value for the Orifice Area to initialize. Go to the Sizing page of the Relief Valve Ratings tab and enter 1300 mm2 (2 in2).

    ConnectionsName RV-100 (default)Inlet Bypass to ValveOutlet To FlareParameters

    Set Pressure 2205 kPa (320 psia)Full Open Pressure 2275 kPa (330 psia)

    Make sure that your Pressure Flow Specifications are correct.

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    Check the Dynamic Assistant to ensure that all necessary information is supplied.

    Save the case as PreRelief.hsc.

    The easiest way to create an overpressure situation is to close the Propane Valve. This will cause a build up of propane in the system and the pressure will rise.

    1. On the FacePlate for the Accumulator-PC change the mode to Man and set the OP to 0%. This immediately closes the valve.

    2. Make sure that the Accumulator Pressure is shown on the active strip chart. You will want to monitor this variable as the simulation progresses.

    3. Watch the Accumulator Pressure rise sharply and the relief valve open. The relief valve is shown as open on the PFD when a yellow outline appears around it.

    4. Return the Accumulator-PC to Auto and set the SP to 2000 kPa (290 psia).

    Is the Relief Valve big enough to maintain the column pressure at the set relief pressure? Is it able to prevent the pressure from rising above the full open pressure? ______________________________________________________

    How long does it take for the system to run to its original operating condition? __________________________________________________________

    Save your case!

    Save your case!

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    Notes on the Relief Valve Operation

    Once the Valve has lifted, examine the Dynamics - Specs tab of the Relief Valve. On this page you will observe three parameters:

    Hysterysis Parameters Group

    When the Enable Valve Hysterysis check box is activated, the Hysterysis Parameters group box becomes visible. This group contains two fields:

    Delta Pressure drop across the valveValve Lift This value is calculated using one of the

    two following formulas:If inlet pressure is increasing:

    where: P1 = upstream pressure

    POPEN = Set Pressure

    PFULL= Full Open Pressure

    If inlet pressure is decreasing:

    where: P1 = upstream pressure

    PRESEAT = Resetting Pressure

    PCLOSE = Closing Pressure

    Percentage Open The Valve Lift in percentage.

    Closing Pressure Pressure at which the valve begins to close after reaching the full lift pressure (i.e. the value entered in the full pressure cell on the Parameters page of the Design tab).

    Reseating Pressure The pressure at which the valve reseats after discharge.

    LP1 POPEN

    PFULL POPEN---------------------------------------=

    LP1 PRESEAT

    PCLOSE POPEN------------------------------------------=

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    Flow Through the Relief ValveThe mass flowrate through the relief valve varies depending on the vapour fraction and the pressure ratio across the valve. For two phase flow, the flows are proportional to the vapour fraction and can be calculated separately and then combined for the total flow.

    Vapour Flow In Valve

    For gases and vapours, flow may be choked or non-choked. If the pressure ratio is greater than the critical, the flow will NOT be Choked:

    where: P1 = Upstream Pressure

    P2 = Downstream Pressure

    K = Ratio of Specific Heats

    For Choked vapour flow, the mass flowrate is given by the following relationship:

    where: W= Mass flow rate

    A = Relief valve orifice area

    KL = Capacity correction factor for valve lift

    KD = Coefficient of Discharge

    KB = Back Pressure Coefficient

    V1 = Specific Volume of the upstream fluid

    (1)

    (2)

    P2P1------

    2K 1+-------------

    KK 1-------------

    W AKLKDKBP1K

    V1-----------

    2K 1+-------------

    K 1+K 1-------------

    12---

    =

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    For non-Choked vapour flow, the mass flowrate is given by:

    Liquid Flow In Valve

    Liquid Flow through the valve is calculated using the following equation:

    where: 1 = Density of upstream fluid

    KV = Viscosity correction factor

    Capacity Correction Factor (KL)

    The Capacity Correction Factor for back pressure is typically linear with increasing backpressure. The correct value of the factor should be user-supplied. It may be obtained from the valve manufacturer. The capacity correction factor for valve lift compensates for the conditions when the relief valve is not completely open. Increasing-sensitivity valves have the following flow characteristics:

    (3)

    (4)

    (5)

    W AKLKDP1V1------

    2KK 1-------------

    P2P1------

    2K----

    P2P1------

    K 1+

    K-------------

    12---

    =

    W AKLKDKV 2 P1 P2( )1[ ]12---

    =

    KLL2

    a 1 a( )L4+[ ]1 2

    ---------------------------------------------------=

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    Linear and decreasing-sensitivity valves have the following flow characteristics:

    where:

    The valve head differential term allows for customizing of the flow characteristics with respect to stem travel. Its value can range between 0 and 1.

    (6)

    (7)

    KLL2

    a 1 a( )L2+[ ]1 2

    ---------------------------------------------------=

    a valve head differential a maximum flowvalve head differential at zero flow

    -----------------------------------------------------------------------------------------------=

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