At last count, there were four inexpensive 1/32 DIN PID temperature controllers available on Ebay. In no particular order, they are the TET7100, SET712, SYL1512, and XMT7100. One look at all four of these controllers will tell you that they are all manufactured by the same company in China. They all have the same feature set which is dramatically reduced from that available with the Fuji PXR3 and other high quality controllers. Their available documentation is also dramatically less (in quantity and quality) than that available for the Fuji line. However, they do "do the job" and their pricing is, obviously, very attractive.
I have had much email exchange with great people at TTI Global and Auber Instruments in an attempt to FULLY understand the "P" and "bb" parameters. A better manual for these controllers can be downloaded from my "website":
http://users.rcn.com/erics/PID
Click on PID_Instruction_Manual and it opens a Microsoft Word Document.
With the Fuji line of controllers, including the PXR3, "P" is the proportional band entered as a percent of the input range. According to TTI Global, the default input range for the Fuji PXR3 is 32 to 1000 degrees F and I assume this is simply the "factory" setting for P-SL and P-SU. This can (and should be) changed to a much narrower band, say 50 to 350 degrees F when used on an espresso machine. The only reason I would take it up to 350 is to allow for a display reading of Pv when going into steaming mode (aren't those cappy's great?)
Understanding "P" with the Chinese controllers is a little more difficult because of a variety of reasons. In their case, "P" is defined as a proportional constant but is also entered as a percent of the input range from 0.1 to 99.9 percent. A good question (and the end result is that it really doesn't matter) becomes "what is the input range" because with these controllers, unlike the Fuji line and others, the input range is not user defined. The simple numerical range for Sv input with these controllers is minus 199 to plus 2999 and this numerical range is unchanged regardless of what temperature sensor has been selected.
With the Chinese controllers, the parameter "bb" is the proportional band, entered directly in degrees. As an example, if Sv is 200 and bb is 10, the controller will signal for power on full time at any temp below 190 and power off full time at any temp above 210. This is sorta equivalent to the hysteresis parameter with the Fuji controllers except that "bb" functions when you are in both PID and on/off mode whereas hysteresis in the Fuji only applies to on-off mode.
Still learning,
Eric S.