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Transfer function derivation

  • Thread starter ookt2c
  • Start date
  • #1
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Homework Statement



Derive a transfer function relating the input(volts) to the out put (pressure) of a fuel celll air fllow system.

Homework Equations


P(gage)=P(abs)-P(atm)

Ideal gas law(PV=mRT)

[itex]dm/dt=mdot(in)-mdot(out)[/itex]

q=k(P(in)-P(out)) mass flowrate for a linear restriiction

The Attempt at a Solution


[itex]dm/dt=mdot(in)-mdot(out)[/itex]

m=(RT)/(PV)

[itex](dRT/PV)/dt=mdot (in)-K(p(in)-P(out))[/itex]
take out constants
[itex]RT/V*(d*1/p)/dt=Mdont(in)-K(p(in)-P(out))[/itex] units for pressure is in seconds ( Pascal = 1 kg/(m*s^2))
 

Answers and Replies

  • #2
djeitnstine
Gold Member
614
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Here is a nice guide for creating a state space model of your system, which can be easily converted into a transfer function:

http://www.me.cmu.edu/ctms/modeling/tutorial/statespace/mainframes.htm [Broken]

Dont hesitate to ask if you need further assistance.
 
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