Hi, this is my first time here. I have done some projects related MV cable replacements. I will talk from my country and company standard. I will give you a general idea but you have to refer to the applicable standards in your company/country.
We have four scenarios:
1. three core cable - shield single point grounded.
In this installation, the shield will induce voltage if you have unbalanced current in the phases. Usually in three core cable, the mutual inductance between phase conductors are the same and thus you will not face unbalance voltage drop through cable if the load is balanced.
2. three core cable - shield both end grounded.
same as "1" but the unbalanced load will introduce a current circulating in the shield. If your design will work to supply unbalanced loads you might have to derate your cable and circulating current wont be an issue.
3. single core cables (three phases) - shield single end grounded
mutual inductance between cables will produced unbalanced voltage drop through the cables thus unbalanced current supplied to the load (even if the load is balanced). shield will produce a voltage at the open terminal side and this voltage might high (~0-1000V). This high shield voltage might damage the insulation at the open end. You can mitigate this by doing calculation to the shield and selecting the right approach to decrease this induced voltage. there multiple methods in the industry you might refer to it like cross linking and termination with overvoltage limiters.
4. Single core cables(thee phases) - shield both end grounded.
In this case, there will be no voltage in the shield because of the circulating current in it. However, this circulating current will worsen the case of mutual inductance unbalance, typically worse than case "3".
Important note, induced voltage in the shield depends on current and length.
Regarding ZCT and as per my knowledge, three phase only shall going inside. So, when you insert the three phase with shields in side in the CT and complete the termination, the shields shall be routed back through the CT, going in the CT- then - coming back CT.
Best Regards.
Ziyad Alharbi