Dear Waleed217,
I have had similar problems several times in my career, such as thread124-66970 (2003, this forum), which had a variable area reboiler equiped with both a steam condensate level valve and a steam control valve- allowing for the control of any two of steam flow, chest pressure, and condensate level. The symptom is steam valve 100% open, chest pressure at the steam supply, and no heat going into the process. After diagnoses of the steam and condensate side, you are left with the conclusion that there is a problem in the heat transfer on the process side. This is straight from the Q=U*A*MTD relation, but leaves the question of why U has dropped.
Fouling is one possibility, but if you can restart this thing, then film boiling may be considered. In the film boiling condition, the tube wall temperature takes on the condensing temperature of the supply steam where as the design tube wall temperature is something lower. This effectively means that there are two stable but very different operating conditions: design and film boiling. Film boiling leads to a poor U value which the controller tries to compenstae for by higher MTD, achieved by higher steam condensing temperature (you see as chest pressure). Fluxuations in the steam system can kick you into film boiling and it is unrecoverable without intervention due to controller wind-up.
I am suprised that Lieberman and others have not discussed how to get out of the condition. The operating fix is to what the chest pressure outside while either: 1) putting the steam control valve in manual and closeing it, or 2) reducing the steam flow setpoint as required below the actual flow (which also closes the valve via control). Keep doing this until the chest pressure gets below the expected normal value- i.e. when it was running normally. The tower will slump during this period due to reduced heat input, but the heat input will shoot up when you have crossed from film boiling to design boiling, then you can raise the steam rate again.
Maybe this isn't your problem, but I have seen it so often that I think it could be, especially given the chest pressures you cite and the light nature of your process side.
best wishes,
Sean Shepherd