How many CT do I need for my heating system

Panel is a 200 amp normal North American Panel (120/240V)

My heating system have the following component
1x Heat Pump (30 amps) Double Breaker
1x Boiler (100 amps) Double Breaker
2x Circulating pump on a single breaker (15 amps)
1x Control panel on a single breaker (15 amps)
1x Furnace (no heating coil, only fan) on a single breaker (15 amps)

I plan to use
1x 100CT for Boiler
1x 50 CT for Heat Pump

The issue is the Pump/Control Panel/Furnace, I would like just one reading for all 3, so should I use 3x 50 CT merge into 1, or use only 1x 50/100CT and pass the 3 cables through the same CT.

What would be best?
Is there a limit of the amount of CT that can be merge using Y cable?
Is there a limit of the amount of cable that you can run through a single CT?

Thank

It depends on what you want. The answer to both your questions is yes. What the limit is depends on what is important to you.

There is a physical limit to the number of wires you can stuff through a CT.

There is a limit to the total current you should stuff through all the wires going through the CT. If you have three wires that fit and the total current is less than the CT rating there is no real issue.

For the number of CTs you can parallel there are similar limitations. I have done two and I have heard of people doing 4. There is probably some accuracy reduction, but it probably doesn’t matter.

Thank, that fully answer my question.

At the moment, I’m looking for aggregate data, if needed, will in the future change setup for more precise data.