Your system is different than the manual system.
The voltage to the module is supposed to be 8V at high fan speed (grey/black wire). Your HVAC programmer is fine. But when it is at 8V, the output of the module to the purple wire should be at 12V. Check the red wire for 12V+, and the black one for a ground. If the red, black, and grey/black all check out OK (12V+, ground, 8V+, respectively), and the purple is not reading 12V+ (either at the fan or the blower module), then the blower module has to be bad.
1999 540iA Sport
Former 93 SSEi Owner
Former 89 SE Owner