I had fat freezing done and it hasn't worked. I had it done for 30 minutes. Is this normal? (photos)

What type of machine was used? The only FDA-approved machine, and the only one that works, for cryolipolysis is the Zeltiq CoolSculpting machine and is used for, at the very least, an hour. You were either not treated for the appropriate amount of time, treated with a non-FDA approved machine, or both. Contact the office where your procedure was performed to see what they use and if it is the Zeltiq CoolSculpting then ask why you were not treated for the full hour.

If the treatment you are referring to is CoolSculpting then you need to have the applicator device attached to the area of fat for at least 1 hour for the suction based applicators and 2 hours for the non-suction based applicator. 30 minutes is not enough time to freeze the fat cells to the point of death and it is not surprising that you have not seen results. Usually with one full treatment you can expect a 25-35% reduction in the fat of the area. Looking at your pictures though you will likely require more than 1 treatment to achieve the best results.

With a 30 minutes treatment, Coolsculpting will provide only minimal results. One region will require a 1 hour treatment before full efficacy is achieved. If you had Venus Freeze, then a series of treatments (usually 8 to 10) will be required. 

What is not normal is your treatment time.  Even with the new "cup" heads a normal treatment for an area is about 35 min. and unless they are using 2 machines, that is only for one cycle or area of treatment.
We usually recommend a minimum of 2 cycles per area and from what I see in the pictures, I would recommend 4 cycles for your abdomen which would be a total of 8 cycles at 2 sessions, one month apart.

Good luck

30 minutes is not a typical treatment. Zeltiq deems any treatment less than 50 minutes to not be a complete coolsculpting treatment. Make sure that the center is listed on the coolsculpting.com website as an approving coolsculpting center.