What is the formula of the maximum flux in the running winding?

The formula for the maximum flux ((Phi_{max})) in the running winding of an induction motor, which is what I assume you’re referring to here, is generally not presented as a specific, singular equation because it is determined by several factors including the design of the motor, the type of core material, the applied voltage, and the frequency of the supply. However, in a very basic form, the flux in a winding can be calculated from Faraday’s law of electromagnetic induction, which is represented as:

[

Phi_{max} = frac{E}{4.44 cdot f cdot N}

]

Where:

– (Phi_{max}) is the maximum magnetic flux in Webers (Wb),

– (E) is the RMS voltage applied to the winding in Volts (V),

– (f) is the frequency of the applied AC supply in Hertz (Hz),

– (4.44) is a constant that comes into play when converting from peak to RMS values and incorporating the sinusoidal waveform factor,

– (N) is the number of turns in the winding.

Please, note that this simplification assumes a sinusoidal voltage supply and a linear magnetic circuit without considering losses or saturation of the core, which in real-world applications, can significantly affect the actual flux. For accurate analysis or design, these factors, along with material properties and dimensions, need to be taken into account, often requiring complex calculations or finite element analysis (