EBSILON®Professional Online Documentation
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    Component 164: Map-based Turbine
    In This Topic

    Component 164: Map based Turbine


    Specifications

    Line connections

    1

    Medium inlet

    2

    Medium outlet

    3

    Shaft inlet

    4

    Shaft outlet

    5

    Control inlet

    6

    Control inlet eff (as H)

     

    General       User Input Values       Map tables       Physics Used       Displays       Example

    General

    Component 164 represents a map-based turbine which models its flow rate vs. pressure drop vs. rotational speed behaviour. The component tries to use the maps from the manufacturer directly without much manual conversion by the user. Maps can be imported via an importer tool, which allows to manually convert a turbine map image to a turbine map table.

    The turbine map is represented by (X,Y,Z,EFF) data points with various options for X,Y,Z,EFF. The calculation modes allow to calculate any of X,Y,Z from the two others.

    In order to derive the correct dimensionless reduced flow and reduced speed, if used in the settings, it is necessary to set the correct reference properties MW_REF, T_REF, P_REF, Z_REF, K_REF.

    If the map is given in terms of mach numbers, it is necessary to set the dimensions DIN and DIMP, in order to be able to calculate actual mach numbers

    If the efficiency and pressure drop are given as total to static, it is necessary to set the outlet diameter DOUT, in order to convert between total and static properties.

    if performance factors are activated, the following relationships are used:

    EFF = EFF_from_map_lookup * PFEFF (FCALC=1,2,3)
    X = X_from_map_lookup * PFX (FCALC=2)
    Z = Z_from_map_lookup * PFZ (FCALC=1)
    X_used_in_map = X / PFX (FCALC=1,3)
    Z_used_in_map = Z / PFZ (FCALC=2,3)

    User Input Values 

    FCALC

    Flag for the calculation mode:

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: Bypass (out=in)

    =1: calculate Z(X,Y)

    =2: calculate X(Y,Z)

    =3: calculate Y(X,Z)

    MW_REF

    Inlet reference molecular weight

    T_REF

    Reference inlet temperature

    P_REF

    Reference inlet pressure

    Z_REF

    Reference inlet compressibility factor Zref = Pref*Vref/(R*Tref)

    K_REF

    Reference inlet isentropic exponent (k=cp/cv)

    DIN

    Inlet diameter

    DOUT

    Outlet diameter

    DIMP

    Impeller diameter

    N_REF

    Reference corrected rotational speed

    FX

    Flag for X definition:

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: X is corrected flow (M1*SQRT((T1/T1ref)*(MWref/MW)/(P1/P1ref)))

    =1: X is axial mach number

    =2: X is volume flow

    =3: X is flow parameter (M1*SQRT(T1/P1*(MWref/MW)))

    FY

    Flag for Y definition:

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: Y is corrected speed

    =1: Y is rotational mach number

    =2: Y is relative corrected speed

    =3: Y is speed parameter (RPM*SQRT(T1*(MWref/MW)))

    FZ

    Flag for Z definition:

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: Z is pressure ratio

    =1: Z is isentropic head

    =2: Z is outlet pressure. The pressure ratio used will be calculated as PR=Z/P_REF

    FEFF

    Flag for efficiency Input (map MXCMAP, column 4):

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: set efficiency

    =1: set power consumption

    FPREFF

    Flag for PR and EFF definition:

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: PR and EFF are total-to-static

    =1: PR and EFF are total-to-total

    EFFM

    Mechanical efficiency (fraction)

    FMAPGROUP

    Turbine Map Grouping Parameter:

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: Y

    =1: X

    =2: Z

    LOSSM

    Mechanical loss (constant)

    FPFEFF

    Flag for performance factor efficiency:

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: None

    =1: use value PFEFF

    =2: use expression EPFEFF

    =3: use map MXPFEFF

    PFEFF

    Performance factor efficiency

    EPFEFF

    Expression for performance factor efficiency

    FPFX

    Flag for performance factor X (mutually exclusive to FPFZ):

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: None

    =1: use value PFX

    =2: use expression EPFX

    =3: use map MXPFX

    PFX

    Performance factor X

    EPFX

    Expression for performance factor X

    FPFZ

    Flag for performance factor Z (mutually exclusive to FPFX):

    Like in Parent Profile (Sub profile option only)

    Expression

    =0: None

    =1: use value PFZ

    =2: use expression EPFZ

    =3: use map MXPFZ

    PFZ

    Performance factor Z

    EPFZ

    Expression for performance factor Z

    The parameters marked in blue are reference quantities for the off-design mode. These are calculated and entered here during the design calculation of EBSILON®Professional.

    Generally, all inputs that are visible are required. But, often default values are provided.

    For more information on colour of the input fields and their descriptions see Edit Component\Specification values

    For more information on design vs. off-design and nominal values see General\Accept Nominal values


    Map Tables

    MXTMAP

    col1=Y

    col2=X

    col3=Z

    col4=EFF or PWR

    Turbine map core table

    MXSURGE

    col1=X

    col2=Z

    Surge line limit

    MXEFFISO

    col1=ID

    col2=X

    col3=Z

    col4=EFF

    Iso efficiency lines. Not used in calculations, only within the importer tool

    MXPFEFF

    col1=Y

    col2=X

    col3=PFEFF

    performance factor correction efficiency

    MXPFX

    col1=Y

    col2=Z

    col3=PFX

    performance factor correction X

    MXPFZ

    col1=Y

    col2=X

    col3=PFZ

    performance factor correction Z


     

    Result values

     

    Q

    Shaft power

    RFLOW

     Corrected flow

    RSPEED

    Corrected rotary speed

    RELRSPEED

    Relative corrected rotational speed

    RFLOWPAR

     Reduced flow parameter

    RSPEEDPAR

    Reduced rotary speed parameter

    FLOW

    Flow

    SPEED

    Shaft rotary speed

    PR_TT

    Pressure ratio total-total

    PR_TS

    Pressure total-static 

    P1_T

    Inlet pressure total

    P1_S

    Inlet pressure static

    P2_T

    Discharge pressure total

    P2_S

    Discharge pressure static

    MCH_AX

    Mach-number axial

    MCH_RAD

    Mach-number radial

    RIGV

    Inlet Guide Vane Angle (IGV)

    EFFI_TT

    Efficiency isentropic total-total

    EFFI_TT

    Efficiency isentropic total-static

    EFFP_TT

    Used value of the adjustment polynomial
    This value is only calculated if the fitting polynomial is also used, otherwise it is 1.

    HDISEN_TT

    Isentropic head total-total

    HDISEN_TS

    Isentropic head total-static

    VM1

    Inlet volume flow

    RPFEFF

    Performance factor efficiency

    RPFX

    Performance factor  X

    RPFZ

    Performance factor  Z

     

    Physics Used

    FCALC = 0

    Bypassmode.
    Set port2 = port 1
    Set shaft power = 0

    FCALC = 1

    Calculate Z(X,Y)
    Determine X from input flow
    Determine Y from shaft speed
    Lookup Z and EFF from (X,Y) in MXCMAP
    Determine outlet pressure from Z
    Determine shaft power from EFF

    FCALC = 2

    Calculate X(Y,Z)
    Determine Z from outlet pressure
    Determine Y from shaft speed
    Lookup X and EFF from (Y,Z) in MXCMAP
    Determine inlet flow rate from X
    Determine shaft power from EFF

    FCALC = 3

    Calculate Y(X,Z)
    Determine X from input flow
    Determine Z from outlet pressure
    Lookup Y and EFF from (X,Z) in MXCMAP
    Determine shaft speed from Y
    Determine shaft power from EFF

    Equations

    M2 - M1 = 0

    M4 - M3 = 0

    H2 - H1 = dH

    H4 - H3 = -M1 * dH * EFFM - LOSSM

    P2 - pressure_ratio * P1 = 0 (FCALC = 1)

    M1 = inlet_flow (FCALC = 2)

    M3 = RPM (FCALC = 3)


    Component Displays

    Display Option 1: Turbine

    Display Option 2: Turbine

    Display Option 3: Turbine

    Display Option 4: Turbine

    Example

    Click here >> Component 164 Demo << to load an example.