Week 8
Modification of the heating system model
After a meeting with my supervisor Dr. John Counsell, a series of modifications are needed for my heating system model. Especially for the radiator system, the previous one is too ideally to apply to actual product design. In fact, for the ASHP heating system, the heat that produced from heat pump will transfers to water, which is flowing within whole system via pipes. Then the heat will be transferred to radiator fins and finally diffuse to the air in room. This procedure is satisfying previous theory, which indicates three heat transfer steps existed in the heat pump heating system. Standing on this points, the model that completed last week is no longer suitable for my project. With the help of Dr.John, a revised equation sets were obtained and could be used for a new model implementation. The details are shown below:
Based on these equations, a revised model could be completed with the help of Simulink platform. However, it is hard to schedule the model because of the existing of many loops. In order to simplify the actually handle work, I have made transfer there equations into several blocks with inputs and outputs respectively. By the way, the typical value for different parameters have been found by looking at previous papers and manufacturer's data.
Typical value has been attached here as a reference:
Thp = 5*60; % Time constant for ASHP (unit: s)
Arad = 8.0; % Area of radiator in dwelling (unit: m^2)
Mdotw= 0.7177; % Mass flow rate of water in heat pump (unit: kg/s)
Mw = 3; % Mass of water in the systaem in kg
Mrad = 100; % Mass of the radiator metal in kg
Cp = 4180; % water specific heat capacity at at approx 40C (unit: J/(kg*K))
Crad = 466; % Steel heat capacity (unit: J/(kg*K))
Uw = 30; % heat transfer coefficient for gas at high pressure and liquid outside tubes (unit: W/(K*m^2))
Gc = 10000; % the gain of compressor power (W)