A mathematical model of a steam generator (Fig XXXXXXXXXXhas to be constructed, taking into account the following: volume of the liquid (V l ) is much larger than that of the vapors (V v ); the liquid...

A mathematical model of a steam generator (Fig. 3.16) has to be constructed, taking into account the following: volume of the liquid (V_l) is much larger than that of the vapors (V_v); the liquid phase is in thermodynamic equilibrium with the vapor phase, meaning: T^∘
_l
= T^∘
_v
, the vapor pressure of the liquid at T^∘
_l
, and the pressure of the vapors at T^∘
_v
are equal (P_l
= p_v), the flow of evaporated liquid is equal to the outflow of the vapors (N_v
= F_vρ_v); the liquid level is a controlled function of the input flow and vapor pressure function of the heating agent flow; heat losses to the exterior are negligible. The geometric dimensions of the generator are known; all characteristics of the liquid (ρ_l, cp_l, l_v) are known; the gains of the P controllers of the two control loops are K_L
and K_P.