The MOV absorbs inductive energy stored in the relay coil. The function of R-C snubber in parallel with the contactor or relay coil is to absorb the coil inductive energy and suppress its voltage transients during turn-off. TVS, back-to-back Zener diodes and MOVs are considered solutions. (The inductive energy causes voltage transients if the relay coil is deenergized, since Vcoil = Lcoil x di/dt. Coil energy Wcoil = (Lcoil x squareI)/2.). The MOV, R-C and TVS shall not be rated energetically less than the amout of energy stored in the coil since they may become damaged. Ideally, the parallel combination of Lcoil with R-C forming impedance Z = R + jX shall have X=0 to achieve the resistive current through Z. Then, R and C values can be determined, and the resistor and capacitor sized depending on parameters of "small relays."
The Variable Frequency Drive (VFD) may need input filter(s), perhaps R-C or L-C. Also, it may need output filters, R-C or L-C. The filters are passive (can be active too, but more complicated) and mitigate harmonics. There are also EMI input and output filters which suppress the electromagnetic interference. Next, threre are different principles of VFDs available on the market. Please, would you have more information available? [sig][/sig]