Definition of the auxiliary conditions

This table contains all auxiliary conditions and supplementary equations. For each auxiliary condition and each supplementary equation, respectively, a line is to be inserted.

One line is allocated to each equation:

Number: is assigned by the system
Active: Only active equations checked off here are used.
Formula: The auxiliary condition and supplementary equation, respectively (see below for further information)
Auxiliary quantity: If this is checked off, the equation is an supplementary equation, otherwise an auxiliary condition.
Inequality: Inequalities have to be checked off here.
Deviation: in the case of both validation methods of the "Manual input of equations”, the value is calculated and entered by the system for each active equation.
Calculated confidence interval: in the case of both validation methods of the "Manual input of equations”, the confidence interval is calculated and entered by the system for each active equation.
Comment: Text to be entered by the user for better clarity

In the formulae for supplementary equations, the characters/arithmetic operations ( ) + - / * and the functions from the table below can be used.

In the formulae for auxiliary conditions, only the characters/arithmetic operations ( ) + - can be used. This constraint is due to the implementation of the output of the auxiliary conditions in the form of a balance (Calculateà Form of a balance &endash; Note: only possible for raw data analysis).

Formula	Result	Valid for	Parameter
Formula	Result	Valid for	Quantity	1.	2.	3.	4.
ps_t_97_s	Saturation pressure in bars in relation to the saturation temperature	Wet steam	1	Temperature	-	-	-	-
ts_p_97_s	Saturation temperature in °C in relation to the saturation pressure	Wet steam	1	Pressure	-	-	-	-
h_ptx_97_d h_ptx_97_w h_ptx_97_s	Specific enthalpy in kJ/kg of p and T	Water	3	Pressure	Temperature	-1	-	-
h_ptx_97_d h_ptx_97_w h_ptx_97_s	Specific enthalpy in kJ/kg of p and x	Water	3	Pressure	-1	Steam mass fraction	-	-
h_ptx_97_d h_ptx_97_w h_ptx_97_s	Specific enthalpy in kJ/kg of T and x	Water	3	Pressure (not used)	Temperature	Steam mass fraction	-	-
h_ptx_97_skonf	Specific saturation enthalpy in kJ/kg of p, x and Tsatt	Water	3	Saturation pressure	-1	Steam mass fraction	Table uncertainty of the saturation temperature
h_lrg_t_15Celsius	Specific enthalpy in kJ/Nm³ of T and the composition related to 15 °C	Air Flue gas	11	Temperature	Parameters 2 to 6: Mole fractions of: CO2, O2, N2, Ar, H2O		Parameters 7 to 11: Table uncertainties CO2, O2, N2, Ar, H2O
h_eg	Specific enthalpy in kJ/m³ of T and the composition related to 15 °C	Natural-gas	12	Temperature	Parameters 2 to 11: Mole fractions of: CH4, C2H6, C3H8, iC4H10, nC4H10, iC5H12, nC5H12, C6H14, CO2, N2		Parameter 12: Density of natural gas
olim	Upper limiting function	-	5	Quantity to be limited	Limit	Auxiliary variable	Snap radius	Always flag (set for auxiliary variable)
etai_nn	For Sheet II: turbine efficiency of p and x	Water	4	Pressure before turbine	Steam mass fraction before turbine		Pressure behind turbine	Steam mass fraction behind turbine
etai_tt	For Sheet II: turbine efficiency of p and T	Water	4	Pressure before turbine	Temperature before turbine		Pressure behind turbine	Temperature behind turbine
etai_nn_h	For Sheet II: turbine efficiency of t and x and table uncertainties	Water	10	Pressure before turbine	Steam mass fraction before turbine	TUS for water enthalpy before turbine	TUS for steam enthalpy before turbine	TUS for entropy before turbine
etai_nn_h		Water	10	Pressure behind turbine	Steam mass fraction behind turbine	TUS for water enthalpy behind turbine	TUS for steam enthalpy behind turbine	TUS for entropy behind turbine
etai_tt_h	For Sheet II: turbine efficiency of p and T and table uncertainties	Water	10	Pressure before turbine	Temperature before turbine	TUS for water enthalpy before turbine	TUS for steam enthalpy before turbine	TUS for entropy before turbine
etai_tt_h		Water	10	Pressure behind turbine	Temperature behind turbine	TUS for water enthalpy behind turbine	TUS for steam enthalpy behind turbine	TUS for entropy behind turbine
KorrPKond	For Sheet II: Correction factor for generator output as a function of the condenser pressure before retrofit	-	1	Condenser pressure	-	-	-	-
KorrPKond_nRF	For Sheet II: Correction factor for generator output as a function of the condenser pressure after retrofit	-	1	Condenser pressure	-	-	-	-

Table: Formulae that can be used for adjoint equations and result

Values or variable names can be used as parameters. If a variable name is specified, the value of the variable instead of the name will be used for the evaluation of the formulae. The following units are assumed for the values:

Temperature: °C
Pressure: bar
Steam mass fraction: dimensionless, value between 0 and 1
Table uncertainty:
- water: absolute value in kJ/kg
- air, flue gas, natural gas: relative value, dimensionless
Specific standard volume: m³/kg
Specific enthalpy kJ/kg
Mole fractions: dimensionless, value between 0 and 1
Efficiency: dimensionless, value between 0 and 1
Correction factor: dimensionless, value between 0 and 1

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