Two-phase flows are commonly found in components in energy systems such as evaporators and boilers. The performance of these components depends among oth- ers on the controller. Transient models describing the evaporation process are important tools for determin- ing control parameters, and fast low order models are needed for this purpose. This article describes a gen- eral moving boundary (MB) model for modeling of two-phase flows. The new model is numerically fast compared to dis- cretized models and very robust to sudden changes in the boundary conditions. The model is a 7 th order model (7 state variables), which is a suitable order for control design. The model is also well suited for open loop simulations for systems design and optimization. It is shown that the average void fraction has a signifi- cant influence on the system response. A new method to calculate the average void fraction including the in- fluence of the slip ratio is given. The average void fraction is calculated as a symbolic solution to the in- tegral of the liquid fraction profile.
[1]
Peter B. Whalley,et al.
Boiling, Condensation, and Gas-Liquid Flow
,
1987
.
[2]
Hans Jørgen Høgaard Knudsen,et al.
A new moving boundary model for transient simulation of dry-expansion evaporators
,
2002
.
[3]
H. Harry Asada,et al.
Multivariable control of vapor compression systems
,
1998
.
[4]
Olaf Bauer,et al.
Modelling of Two-Phase Flows with Modelica
,
1999
.
[5]
Neil E. Todreas,et al.
Nuclear systems 1
,
1990
.
[6]
Sergio Bittanti,et al.
Performance assessment of the control system of once-through boilers
,
2001
.
[7]
Morten Willatzen,et al.
A general dynamic simulation model for evaporators and condensers in refrigeration. Part II: simulation and control of an evaporator
,
1998
.
[8]
G. L. Wedekind,et al.
A Generalization of the System Mean Void Fraction Model for Transient Two-Phase Evaporating Flows
,
1981
.