Consider the ratio control scheme shown in Fig. 15.6. Each flow rate is measured using an orifice plate and a differen- tial pressure (D/P) transmitter. The pneumatic output signals from the
(D)/(P)transmitters are related to the flow rates by the expressions
d_(m)=d_(m0)+K_(1)d^(2)
u_(m)=u_(m0)+K_(2)u^(2)Each transmitter output signal has a range of
3-15\psi . The transmitter spans are denoted by
S_(d)and
S_(u)for the disturbance and manipulated flow rates, respectively. Derive an expression for the gain of the ratio station
K_(R)in terms of
S_(d),S_(u), and the desired ratio
R_(d). Figure 15.6 Ratio control, Method II.
