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SEUIF97

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Note: A new Rust version offers a major upgrade with ~2× speedup, 36 properties (vs 30), and multi-ecosystem package support. See RustSEUIF97.

This is the C implementation of the high-speed IAPWS-IF97 package SEUIF97. It is suitable for computation-intensive calculations, such as the simulation of non-stationary processes, on-line process monitoring and optimizations.

Through the high-speed library, IAPWS-IF97 results are generated with high accuracy and at speeds significantly faster than the repeated squaring method or the standard C library's math.pow()

Acceleration Methods

  • Shortest Addition Chain Algorithm: Used for the rapid computation of integer powers via optimal multiplication sequences.
  • Power Caching Strategy: Precomputes only distinct powers to avoid redundant calculations, directly retrieving them to speed up polynomial evaluation.
  • Shared-Power Scaling: By leveraging the mathematical relationship between polynomials and their derivatives, we compute shared power terms only once. Subsequent results are derived through exponent scaling, thereby eliminating redundant calculations and significantly improving computational efficiency.

Please refer to The acceleration methods for more details on the algorithm.

Performance Comparison

SEUIF97 achieves 2-6x speedup over CoolProp IF97. Benchmarking code and data are available in the bench_coolprop_if97 directory.

Functions of the SEUIF97

The SEUIF97 provides comprehensive functions for calculating water and steam properties, as well as the thermodynamic processes of steam turbines.

Water and Steam Properties

SEUIF97 supports 12 distinct input state pairs for calculating 36 thermodynamic, transport, and derived properties (see Properties).

The 12 input pairs:

  (p,t), (p,h), (p,s), (p,v)
  (h,s)
  (t,h), (t,s), (t,v)
  (h,x), (t,x), (v,x), (s,x)

Each function accepts an input pair, an output property ID (o_id). For example: the input pair (p,t): pt(p,t,o_id)

Note:

  • Only linearly related thermodynamic properties are calculable in the wet steam region.

Thermodynamic Process of Steam Turbine

  • ishd(pi, ti, pe): isentropic enthalpy drop for steam expansion (kJ/kg)
  • ief(pi, ti, pe, te): isentropic efficiency for superheated steam expansion (%)

The Function Prototype in C

// Functions of Properties
double pt(double p, double t, int o_id);
double ph(double p, double h, int o_id);
double ps(double p, double s, int o_id);
double pv(double p, double v, int o_id);

double th(double t, double h, int o_id);
double ts(double t, double s, int o_id);
double tv(double t, double v,  int o_id);

double hs(double h, double s,  int o_id);

double px(double p, double x,  int o_id);
double tx(double t, double x,  int o_id);
double hx(double h, double x,  int o_id);
double sx(double s, double x,  int o_id);

//The Functions for Thermodynamic Process of Steam Turbine
double ishd(double pi, double ti, double pe);
double ief(double pi, double ti, double pe, double te);

The Shared Library

Pre-compiled Shared libraries for Windows, Linux and macOS are available in GitHub Releases.

You can build the library using either make or cmake:

Using SEUIF97 Shared library

Interfaces and examples are provided in the /demo/ directory, supporting a wide range of languages and environments

  • C/C++, Python, C#, Java, Excel VBA, MATLAB, Rust, Fortran, Pascal, Golang, Modelica

You can modify the provided interfaces to match your own API needs.

Language Interface
C/C++ seuif97.h
Python seuif97.py
C# seuif97.cs
Excel VBA seuif97.bas
Java seuif97.java
MATLAB64 seuif97.m
Rust seuif97.rs
Fortran seuif97.f08
Pascal seuif97.pas
Golang seuif97.h
Modelica seuif97.mo

The Selected Examples

Python

C++

Properties

Property Unit Symbol o_id
Pressure MPa p 0
Temperature °C t 1
Density kg/m^3 ρ 2
Specific Volume m^3/kg v 3
Specific enthalpy kJ/kg h 4
Specific entropy kJ/(kg·K) s 5
Specific exergy kJ/kg e 6
Specific internal energy kJ/kg u 7
Specific isobaric heat capacity kJ/(kg·K) cp 8
Specific isochoric heat capacity kJ/(kg·K) cv 9
Speed of sound m/s w 10
Isentropic exponent k 11
Specific Helmholtz free energy kJ/kg f 12
Specific Gibbs free energy kJ/kg g 13
Compressibility factor z 14
Steam quality x 15
Region r 16
Isobaric cubic expansion coefficient 1/K αv 17
Isothermal compressibility 1/MPa kT 18
Partial derivative (∂V/∂T)p m^3/(kg·K) (∂V/∂T)p 19
Partial derivative (∂V/∂P)T m^3/(kg·MPa) (∂V/∂P)T 20
Partial derivative (∂p/∂t)v MPa/K (∂p/∂t)v 21
Isothermal throttling coefficient kJ/(kg·MPa) δt 22
Joule-Thomson coefficient K/MPa μ 23
Dynamic viscosity kg/(m·s) η 24
Kinematic viscosity m²/s ν 25
Thermal conductivity W/(m·K) λ 26
Thermal diffusivity µm²/s a 27
Prandtl number Pr 28
Surface tension N/m σ 29

Publications

  • 王培红,贾俊颖,程懋华. 水和水蒸汽热力性质IAPWS-IF97公式的通用计算模型[J]. 动力工程,2001,21(6):1564-1567 [ pdf ]

  • 芮嘉敏,孙振业,程懋华. 基于最短加法链状态空间树的IAPWS-IF97快速计算方法[J]. 汽轮机技术,2017,59(4):245-247 [ pdf ]

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The high-speed IAPWS-IF97 implementation in C

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