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Controls                                                                                            393


               Two Element Control                                  need for additional hardware; that’s why we can make
                    To reduce the impact of shrink and swell a water  a two element controller out of a single element one by
               system that doesn’t enhance the effect of it is required.  simply wiring the steam flow signal to the drum level
               Two and three element systems actually counter some of  controller. Actually, in many systems and any future
               the effect by adding water when the level is swelling up  system it is simply a matter of telling the controller to
               to quench bubbles which reduces the swell. Conversely  get the steam flow signal because all the controllers have
               they reduce the addition of colder feedwater when the  access to all the signals in a system.
               level is shrinking.                                      The two and three element systems control the
                    I mentioned  single element control operation.  feedwater valve in proportion to steam flow with an
               Single element feedwater controls have a single process  adjustment for drum level. A two element feedwater
               variable for control, water level. I’ve already spent a lot  control system is shown in Figure 11-25. Two element
               of time discussing them. Two element controls use an-  control is very common today because any boiler that
               other process variable (that isn’t maintained) and that is  needs the control is large enough to justify steam flow
               steam flow. Since the steam flow is not controlled as part  metering for monitoring the boiler demand and perfor-
               of the feedwater system it is usually treated as a remote  mance. Since the steam flow meter is there it’s simply a
               signal. The third variable for a three element control is  matter of adding, at most a little wiring, and normally
               feedwater flow. The two and three element systems act  just a few software instructions (for microprocessor
               to maintain the balance of steam and feedwater flow  based controls) to make a two element system out of
               with adjustments for level.                          a single element system. If the boiler has pneumatic
                    Both two and three element systems actually con-  controls another device (summer) is required to create a
               trol the flow of water to match the flow of steam. It’s  two element control and another hand automatic station
               a given that every pound of steam that leaves a boiler  may be necessary.
               must be replaced by a pound of feedwater so that’s a     As steam flow increases the output to the feedwa-
               logical way to do it.                                ter valve increases. Provided the valve is selected or its
                    These systems require a control element called a  positioner is set to provide a linear output the valve po-
               signal summer which combines two or more control  sition for each value of steam flow will produce a feed-
               signals. The term “summer” is used instead of “adder”  water flow that matches the steam flow. You can always
               because a summer can subtract signals as well as add  tell if a two element system is set up properly by noting
               them. When mathematicians and control engineers use  the output of the level controller at different boiler loads
               the word “sum” they mean to add up all the values  when the level and steam flow are relatively stable.
               and some of them can be negative. The ratio totalizer  The output of the level controller shouldn’t change and
               described earlier can be used as a signal summer. One  should be about 50%.
               input signal can be applied to the bellows opposite the     Why 50%? I’ve encountered several systems where
               output (port A in Figure 11-5) so the output equals that  the operators were always fooling with the level on a
               signal plus another signal be applied to port C of the
               totalizer for adding or port B for subtracting.
                    We could introduce a gain on the A and B values by
               adjusting the pivot. We could also add a spring to the as-
               sembly so we could introduce a fixed bias (spring force)
               at either end of the ratio totalizer. The mathematical
               equivalent of the summer output would be input C plus
               input A minus input B plus or minus a bias provided by
               a spring at their end plus or minus the bias provided by
               a spring at the output end. The output equals (I  - I  ±
                                                           A   B
               K ) × G + I  ± K ) where the suffix identifies the port
                B        C     C
               indicated on Figure 11-5, the letter ‘I’ refers to input, ‘K’
               represents a spring attached to the pivot arm at that port
               and ‘G’ is the gain.
                    That’s the basic concept of a summer but most mi-
               croprocessor based controllers allow you to include the
               summer function inside the controller to eliminate the   Figure 11-25. Two element level control schematic
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