Dear colleagues,
I am currently developing an HVAC multivariable mathematical model.
The modeling technique I follow is state space
I managed to identify 12 state equations
Part of the 12 equations are 4 with non linearity terms ( the 4 equations are attached where a1, a2, ... are constant coefficients or A matrix elements ), the non linearity is established in the terms where the mass flow of supplied air (qsa) [kg/sec] is multiplied with the following temperature states in individual terms of the relevant state equation:
Tcc: Temperature of the cooling coil [oC]
Tao: Temperature of the output blown air[oC]
Tsa: temperature of the supplied air [oC]
Tz: temperature of the zone [oC]
Tra: Temperature of the recirculated air [oC]
I have followed the methodology of Taylor expansion series linearization around normal operating points to linearise the non linear terms individually, but I ended to have series of new sate equations with additional constants' matrix:
[dx/dt] =[Ax] + [Bu] +[Constants]
Now I need to derive the 2x2 transfer function matrix based on [ tf=B* (s*I-A)*C] equation.
Kindly advise and support how to deal with the constants' matrix [Constants] in order to derive the transfer function matrix, what is your experience in such situation. Is the work I am doing correct?
Thanks & regards,
Basim Touqan
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