This may also be accomplished easily and safely with a primary injection test set, such as those used for LV circuit breaker testing.
Keep in mind that most primary test sets utilize an output transformer and have thermal / time limitations. Choosing a test set
rated for much higher current ~2kA, will generally allow for a long term test run. These test sets generally output their current at a low
voltage (3-10 V) and have built in ammeters, timers, etc and can run on a 120V, single phase supply. Higher currents / times are available with higher input power / voltage. Some units also have reporting software, if that makes a difference.
Nearly all of the test equipment rental companies would have something available to suit your needs.
Programma/Megger make an ODEN test set, Omicron has CPC, there are others as well. It would be a good idea to have some kind of estimate of the time you need
to run the test as the test equipment manufacturers specifications generally detail some kind of output current / compliance voltage / time curves.
I don't see anything wrong with the CT method, however be sure to build in some operator safety to the test set up.
Does your test specification allow for a single phase current to be utilized in series with the three phases? Is true three phase current required?
If three phase current is required, another option is to use a three phase distribution transformer at reduced voltage with the LV side short circuited. This method is often utilized to commission differential relaying schemes and once understood is quite easy to perform, provided there is a suitably sized transformer and power source available. SEL has several papers on how to perform this test. Google "Proper Testing of Protection Systems
Ensures Against False Tripping and
Unnecessary Outages" You may have to register to gain access.