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ReactorTQ_abg.tex

MTT command:
mtt ReactorTQ abg tex

Figure 3.1: System ReactorTQ: acausal bond graph
\fbox{
\includegraphics[width=0.9\linewidth,height=18cm,keepaspectratio]{/home/peterg/JUNK/examples/Chemical/ReactorTQ/MTT_work/ReactorTQ_abg.ps}
}

Figure 3.2: System ReactorTQ, Schematic
\fbox{
\includegraphics[width=0.9\linewidth,height=18cm,keepaspectratio]{/home/peterg/JUNK/examples/Chemical/ReactorTQ/MTT_work/ReactorTQ_pic.ps}
}

Figure 3.2 (on page [*]) is the schematic diagram of a chemical reactor.

The acausal bond graph of system ReactorTQ is displayed in Figure 3.1 (on page [*]) and its label file is listed in Section 3.1.1 (on page [*]). The subsystems are listed in Section 3.1.2 (on page [*]).

This example of a (nonlinear) chemical reactor is due to Trickett and Bogle3.1 is used in this section. The reactor has two reaction mechanisms: A$ \rightarrow$   B$ \rightarrow$   C and 2A$ \rightarrow$   D. The reactor mass inflow and outflow $ f_r$ are identical. $ q$ represents the heat inflow to the reactor.

The control loop $ t$/$ q$ has been inverted. The resulting SISO system has two interpretations:
  1. the dynamics of the $ c_b$/ loop when the $ t$/$ q$ loop is under perfect control and
  2. the inverse dynamics of the $ t$/$ q$ loop.

Figure 3.3: SystemReactorTQ: zeros v flow
\fbox{
\includegraphics[width=0.9\linewidth,height=18cm,keepaspectratio]{/home/peterg/JUNK/examples/Chemical/ReactorTQ/MTT_work/ReactorTQ_zero.ps}
}

Figure 3.3 (on page [*]) shows the poles of the linearised system as the steady-state flow varies: these are the zeros of the $ c_b$/ control-loop when the $ t$/$ q$ loop is open.



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