Hello again,
I have some new information to add to the thread.
First, it looks like the heating element for the major soldering irons that go with a lot of stations is the A1321 or A1322, and it appears that they may be the same. It also appears that there are two totally different physical models but they may call BOTH models (even though very different electrically) by the same part number like those above.
They both have one heating element and one sensor but for example, it looks like the A1321 can be either heating element and sensor.
I'll list the elements and sensors first (cold=20 degrees C or room temperature):
Heating elements:
1. 16 ohms cold
2. 4 ohms cold
Sensors:
1. 1.5 ohms cold
2. 50 ohms cold
Each soldering element has one sensor and one heating element, and what i have found so far is that they pair up as:
Element A: 16 ohms heating element, 1.5 ohms sensor
Element B: 4 ohms heating element, 50 ohms sensor
Unfortunately they are both marketed as A1321 for example.
The soldering irons purchased as a whole (handle + element already installed) seem to come in several types, the most common seem to be:
1. 907A (36 watts)
2. 907F (50 watts)
It looks like the 907A has the 16 ohm element and 1.5 ohm sensor, while the 907F has the 4 ohm element and 50 ohm sensor.
The irons are different because of the power they run at, either 50 watts (907F) or 36 watts (907A) and that is because of the heating element coil type. The station that uses these irons seem to be matched to a particular model, either 907A or 907F and it looks like the stations can not run with the wrong type because the element is too different for one thing.
The element in the 907A is 36 watts and has a K type THERMOCOUPLE sensor, so the station circuit relies on measuring a VOLTAGE in order to determine the element temperature.
The element in the 907F is 50 watts and has a PTC type THERMISTOR sensor, so the station relies on measuring a RESISTANCE in order to determine the element temperature.
The two different station circuits can not function with the wrong iron because they simply can not measure the temperature properly, and also the required power handling is higher for the 907F so it could even blow the station out.
Control circuits for these two irons are very easy to build however. It's just a regulator that uses the sensor as feedback and compares it to a pot setting. When the measured quantity equals the pot setting the iron current is shut off.
For some reason the stations use AC not DC, although the elements are rated for DC. I suspect this is only because it is easier to use a triac with simple control circuit to turn the iron element on and off (and thus vary the average power to the iron) rather than have to use a DC power supply in addition to the control circuit and power transistor.
There seems to be a lot of other different types of irons used with other stations, but these two are very common. The problem is purchasing an element because it's hard to tell what we might get, 50 watt with PTC thermistor or 36 watt with K-thermocouple.
The irons themselves however seem to be consistent so that the 907A should always be the same (36 watt) and the 907F always the same (50 watt), so it is probably better to purchase the whole iron as a replacement.
Interestingly, we can get the 907A irons for about 10 dollars USD, and the 907F for about 15 dollars USD, so a small control circuit with it will give us a nice temperature controlled soldering station
If you have a DC power supply that can put out 2 to 2.5 amps, you can run either iron with a small LM358 based control circuit and have yourself a $50 USD soldering iron station. This would be without a 7 segment LED display to show the temperature, but that's not really needed anyway if you calibrate the pot dial. With a simple arduino circuit the display can be added too.