Relationship between frequency and current

Hello I have a simple question, I was reading in my Airplane Maintence book that in AC motors are frequency sensitive (I understand that) frequency changes can cause speed changes of the armature. But what I don't understand is this line: "Some components can overheat if the frequency drops and the current increases" I understand more current overheating, I don't understand how lower frequency would increase current.

Edit: Again thanks for those answers to my above question, but I guess another question I have on this train of thought(confusion) is with inductive reactance, where it opposes current at higher freq, yet dosen't use power or convert it into heat, where does it go?

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An AC motor stator is an inductance. In an inductance, the lower the frequency, the lower its impedance. So having constant voltage over it, the current will rise if the frequency gets lower.

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First, we need to understand the components of AC motor speed control. Their are only three components: Voltage, Current, Frequency. We only have control over Voltage and Frequency through an AC Motor Driver. However, Current is controllable, but dependent on motor Load.

AC Motor Speed control requires a Voltage/Frequency input relationship to control motor speed. The V/F ratio is different for different motors and totally depends upon the motor's rated values. Let's say you are using 400V 50Hz motor. The voltage to frequency ratio for that motor is 400/50. This can be achieved by using AC Motor Drivers. When you need to run motor at 25Hz, than you must supply voltage near to the 200V.

We get $\frac{400V}{2} = 200V$ because $25Hz = \frac{50 Hz}{2}$.

For 12.5 Hz Speed, you have to supply 100 Volts, and so on.

All motors have a minimum frequency value. You must not go below that value because driving a motor at a frequency value lower than the minimum can cause excessive current flow at the Armature winding. This is called "Eddy Current". Excess eddy current produces heat, which may burn the windings of the motor.

To solve this problem, almost all AC Motor Drivers have a function called "Slip Frequency". Slip frequency is the lowest possible frequency a drive can give to motor. It is different for different rated motors and is related to the motor's slip. Some AC Motor Drives automatically adjust this function according to rated values of motors.

If we try to operate a motor at a frequency that is lower than Motor Driver's Slip Frequency, then the Motor Driver will use the Slip Frequency to operate motor instead.

The inductive reactance ($X_L$) more or less acts as a resistance within a circuit. It means that it offers a specific resistance to the circuit to which it is connected.