First off, the Original Poster has resolved his problem (and it is also likely that he is not discussing a typical solenoid). So I am only addressing Besoeker's comments as a side topic.
We are tood {told} in the opening post that the coil is AC. Puting a diode in series with it would subject it to DC and probably saturate it. Then there's the possible problem that the contacts in series with it might not like to break DC.
Besoeker, I
respectfully submit that you are confusing a solenoid for a transformer. You wouldn't want a transformer in saturation, but a solenoid is intended to be in saturation. Preferably you want to keep it at the knee-saturation point, because any additional increase in current will not appreciably increase the flux, but will increase the heat. That's where it achieves its maximum pull-in power for the least amount of wasted heat.
As I said previously, you can place an AC solenoid in a DC circuit, but you cannot place a DC solenoid on an AC circuit. There is one caveat to this which the discussion hadn't previously gotten to yet, but I did mention it parenthetically. You wouldn't want to put 120VDC into a 120VAC coil because the amperage would be too high. I can't remember what the impedance would be for a half-rectified signal, but it wouldn't be zero like a full DC signal would. However, even without adding a current limiting resistor, the V
rms would be reduced by an additional 1/sqrt-2 {V
rms = V
p/2 versus V
p/(sqrt-2)}. V
rms = 85V
So in all likelihood, the diode by itself will keep the coil amperage within a safe operating range. This would have been the first thing I would have asked the OP to confirm if he had chosen this approach.
The reason why an AC solenoid can take DC power (within current limits) is because the AC solenoid coil/core has additional features that its DC counterpart does not require. That's why you can't do the reverse. The AC core is laminated and also contains a shading ring. These features are not needed when DC power is present, but they do not impair the function if they are present.
As for the second comment, the upstream contacts are not breaking a DC signal. They are breaking a have-wave rectified signal. Even though the signal doesn't invert, it still reaches zero volts, or close to it depending on the filter effect of the solenoid coil.