# Magnetic force as a function of PWM frequency

Consider an experiement with a DC source feeding an coil with a constant DC current I. The coil with an iron core attracts a magnetic plate with mass m with force F. The force F is higher than Fm and the plate is kept in place. Now the DC source is substituted with a PWM controlled output. Say with duty cycle 50% and a DC level leading to same rms current A. What will hapen if the frequency of the PWM is increased?

A) Nothing, a PWM with same duty cycle at 1kHz, 10kHz, 100kHz or 1MHz still create the same magnetic force still lifting the plate.

B) There will be a maximum frequency where F=Fm and the plate will drop off if frequency increased further.

I'm trying to understand if sudden releases and issues never seen before in an industrial process could be related to the fact that new type of HW has increased PWM frequency from <10kHzish to ~100kHzich could be the root cause. Current levels are measured by fast clamps and at same level. Voltage at 110VDC same as before. Also very interested in the physics behind if it one would run some simulations around it.

• An iron core is going to start to suffer extremely high core losses as the PWM frequency goes up, not to mention AC proximity and skin effect losses in the windings. So you may have thermal issues as well as having less power transferred to the magnetic field. – John D Nov 22 '19 at 16:09
• Thanks John. I was wondering where the energy is going, because the current is there... is it then the coil or the core or both that heats up? – Jonas W Nov 22 '19 at 16:36
• Well, you were talking about frequencies of up to a MHz, so certainly even a laminated iron core would have large eddy current and hysteresis losses. Lots of heating there. Then the skin and proximity effects would greatly increase the AC resistance of your windings which would also cause heating there. So "both". – John D Nov 22 '19 at 17:52
• are you aware that an 50% square wave with the same RMS will have less average current? – Jasen Nov 22 '19 at 22:21
• Yes, compared to the DC level the RMS comment is valid. Thanks to the feedback in previous comments I was able to get a good kickstart and find more material in the matter. – Jonas W Nov 23 '19 at 10:57