As has already been stated a CT on it's own cannot determine current direction as ACchanges 50 times a second and requires some sort of reference.
Don't for one moment think this explanation is an accurate description of a power meter. I have 'copied' it straight from my note book where I explained to an electrician why the wiring between the power meter and the CT and the direction of curent flow were critical despite his remonstrations that as it was AC it didn't matter.
A simple circuit of a voltmeter supplied by a current transformer from the 240V circuit (ratio 1A to 100V, the brown winding being the wire being monitored and the orange being the clip-on CT) and and an adjustable
resistive load:
The red dots indicate phase relationship across the windings, for the sake of explanation I'll consider it to be the positive during the positive half cycle and therefore add to the original 240V:
No load; I=0A, induced voltage = 0V + 240V = 240V
2400Ω or 24W load; I=0.1A, induced voltage = 10V + 240V = 250V
240Ω or 240W load; I=1A, induced voltage = 100V + 240V = 340V (shown in sketch)
100Ω or 576W load; I=2.4A, induced voltage = 240V + 240V = 480V
63.16Ω or 912 W load; I=3.8A, induced voltage = 380V + 240V = 620V
51Ω or 1128W load; I=4.7A, induced voltage = 470V + 240V = 710V
50Ω or 1152W load; I=4.8A, induced voltage = 480V + 240V = 720V
It can be seen there is a voltage proportional to the load power.
Let's reverse the CT
or apply power from the other end
Hopefully it can be seen the CT's induced voltage is now out of phase with the supply voltage in both situations and is therefore subtracted from the original 240V.
No load; I=0A, induced voltage = 0V + 240V = 240V
2400Ω or 24W load; I=0.1A, induced voltage = -10V + 240V = 230V
240Ω or 240W load; I=1A, induced voltage = -100V + 240V = 140V (shown in sketch)
100Ω or 576 W load; I=2.4A, induced voltage = -240V + 240V = 0V
63.16Ω or 912 W load; I=3.8A, induced voltage = -380V + 240V = -140V
51Ω or 1128W load; I=4.7A, induced voltage = -470V + 240V = -230V
50Ω or 1152W load; I=4.8A, induced voltage = -480V + 240V = -240V
It can be seen the voltage is no longer proportional to the load power and worse; as the voltage is AC we have duplicated measured values.
Getting back to the original notes we found big discrepancies between phase power on 3ph motors, if it wasn't for that fact he would have quite happily left site thinking it was a job well done.