Car cuts out with heavy use of secondary turbo. Check light appears resolting in lose of power with heavy throttle application. Problem is resolved when car is switched off for a bit then back on. Is this something to do with emission or oxygen sensors?

Question edited for a lot more clarity. 'lose' and 'loose' are two different words and your space bar appears to be broken. :>D

So it seems the car is running on the fumes of the throttle body cleaner, yes? Did you disconnect the battery when you changed the fuel pump? Did you reset the ant-theft and immobilizer?

If the throttle body is the issue, remove it and clean it properly both sides so it opens and closes easily..

your issue is a boost leak check all the boost pipes making sure the pipes are on properly and the clamps are fastened and seated and position correctly.start with the pipe from the airbox to the turbo. Then the pipes from the turbo to intercooler from intercooler to intake throttle body.

closes bet its a bad alternator, bad battery or loose connections, last 2 options throtle needs to reprogram,bad as well.

you may be having problems with the turbine or it could have a heavy short in the system. check the tuning on the turbo it may be starting the boost to soon or to late causing problems also check your intake setup this includes your pcv valve

I've just copied this from wikipedia:-

A traction control system (TCS), also known as Anti-Slip Regulation (ASR), is typically (but not necessarily) a secondary function of the anti-lock braking system on production vehicles, and is designed to prevent loss of traction of the driven road wheels, and therefore maintain the control of the vehicle when excessive throttle is applied by the driver and the condition of the road surface (due to varying factors) is unable to cope with the torque applied.
The intervention can consist of one or more of the following:

• ****** or suppress the spark to one or more cylinders
• Reduce fuel supply to one or more cylinders
• Brake one or more wheels
• Close the throttle, if the vehicle is fitted with drive by wire throttle
• In turbo-charged vehicles, the boost control solenoid can be actuated to reduce boost and therefore engine power.

Typically, the traction control system shares the electro-hydraulic brake actuator (but does not use the conventional master cylinder and servo), and the wheel speed sensors with the anti-lock braking system.

I'd suggest

1) Have a look at the Hyudai website, see if there's a forum or discussion group where the same problem has been encountered / resolved.

2) Getting it plugged into proper the diagnostic equipment.

WHITE SMOKE MEANS ENGINE IS BURNING ANTIFREEZE.TURBO WILL SMOKE HEAVY BLUE WHEN TURBO SEAL FAIL.ALSO YOU WILL LOSE POWER.YOUR CAR IS TOO NEW.TO HAVE PROBLEMS.YOUR CAR SHOULD BE WARRANTY COVER.TAKE IT TO SAAB DEALERSHIP.LET THEM CHECK IT OUT.

First off, how the Hell did they issue a DOT Cetificate, if the Emissions are known to be off the clock. Without causing stress, do you have, or can obtain the Emission Test Result Print Out from the Testing Station test Equipment. This is something they cannot refuse. DO NOT AUTHORISE ANY REPAIRS Come back TO ME with your story.
Regards,DT

Sounds like you might have blown a ring on a piston. and the black smoke is oil being burned...find out what the engine code is....but a blown ring usually requires an engine rebuild to fix. Hope this helps.....sorry about the bad news

Change the fuel filter a gain you may just got dirty or bad fuel. Also check and replace the air filter TDI need a lot of air.

Check that the oil and coolant lines that run to the unit are'nt blocked as is sounds as though its overheating the turbo and its bindind up. I hope this helps.