Those donuts help eliminate high frequencies from the wire they are around. Without going into detail, they lower the maximum slew rate of the current passing through them by impeding the change in magnetic flux around the wire.
Try to keep the susceptible wire away from wires that have high current switched loads if possible. You can also put the same "donuts" around the output and input leads on the contactors to keep the pulse noise from propagating down the wires where it can radiate out.
Steve


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