This model implements the switching algorithm for the dry and wet regime.
The switching criteria for (counter-flow) cooling coil modes are as follows.
R1: If the coil surface temperature at the air inlet is lower than the dew-point temperature at the inlet to the coil, then the cooling coil surface is fully-wet.
R2: If the surface temperature at the air outlet section is higher than the dew-point temperature of the air at the inlet, then the cooling coil surface is fully-dry.
At each point of a simulation time step, the fuzzy-modeling approach determines the weights for R1 and R2 respectively (namely μFW and μFD) from the dew-point and coil surface temperatures.
It calculates total and sensible heat transfer rates according to the weights as follows.
Q̇tot=μFD Q̇tot,FD+μFW Qtot,FW
Q̇sen=μFD Q̇sen,FD+μFW Qsen,FW
The fuzzy-modeling ensures μFW + μFD = 1, μFW >=0 and μFD >=0, which means the fuzzy model outcomes of Q̇sen and Q̇tot are always convex combinations of heat transfer rates for fully-dry and fully-wet modes and therefore are always bounded by them.
The modeling approach also results in n-th order differentiable model depending on the selection of the underlying membership functions. This cooling coil model is once continuously differentiable at the mode switches.