These Chinese lamps are rather short lived as there glass chemistry of the discharge tube is not good leading to the glass beeig attacked by the sodium vapour. I Think I was told that you could be happy if you get 100hrs out of one.
Regarding the ballast, i disagree with the stance of
@WorldwideHIDCollectorUSA. At least for the leak transformer. Se, every Transformer is able to limit it schort circuit current, due to its stray field inductance and resistance of the winding. However The resistance of the winding is way smaller then Impedance caused.
As a site note in The short circuit current in transmission systems is limited only by the impedance coming from the stray field as the winding resistance is overs of magnitude smaller then the impedance caused by the stray field.
This is very similar with leak transformers. They have a very big impedance between Primary and secondary due to the much more present stray field. This leads to leak transformers having very high open circuit voltages. For example the open circuit voltage of a 90W SOX leak transformer is about 450-500V while the lamp voltage is only 112V or so.
The current of a SOX lamp is about 950mA.
this gives the Leak transformer an impedance Z=(R^2+jwL^2)^(0.5)=430Ω.
If you no decide to run the ballast with this lamp (ie to get down to U_L≈15V) you get an current of I_T=(U_oc - U_L)/Z=1.13A
So the current is about 20% more.
P_cu=I_T^2*R --> Power losses in the windings are about 40% Higher. This will lead to more heat development. However we also Know the losses of such leak transformers: Osram specifies the losses in a leak transformer with 23W. These however can again be divide in two parts: Magnetising losses and current losses. Magentising losses are constant and makes something of around 10% of the rated power of such a small transformer. So only around 13W remain as current losses when operated at nominal. When running this spectral lamp these losses would rise to around 18W, so 5W more. Regarding the fact that the maximum tempreture of the windings of electrical machines is around 130°C and that my leak transformer only gets handwork when running an SOX 90W I can sure say that yes that ballast will run hotter However it will stay well clear of the 130°C winding temperature.
I am also rather suspicious of your claims regarding the other ballast, but to be honest i cannot be bothered to calculate every single one of them. If that interest you get yourself a good book about electrical machines and do it yourself. If you have questions feel free to ask.
However what
@RRK said sounds reasonable.
Best regards,
Alex