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 = PrefVref/(RTref)
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 (M1SQRT((T1/T1ref)(MWref/MW)/(P1/P1ref))) =1: X is axial mach number =2: X is volume flow =3: X is flow parameter (M1SQRT(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 (RPMSQRT(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.

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