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The output equation of AC machines is critical in understanding their performance and design limitations. However, the formula can vary depending on the type of AC machine you are referring to (such as induction motors, synchronous machines, etc.). A general way to express the output power (P_out) of such machines is given by the formula:
[P_{out} = frac{V cdot I cdot cos(phi)}{sqrt{3}}]
Where:
– (V) = Line voltage (voltage between two phases)
– (I) = Line current (current in one phase)
– (cos(phi)) = Power factor of the machine
– The term (sqrt{3}) is used for three-phase systems.
For more specific machines, such as induction motors, additional factors like slip ((s)) come into play when calculating output power or torque.
Remember, this is a simplified, high-level overview. The actual output power of an AC machine in practical scenarios can be influenced by various factors, such as losses (copper losses, iron losses, mechanical losses, etc.), the efficiency of the machine, and the nature of the load. Detailed design equations would take these factors into account and are often more specific to the type of machine and its working principles.
a
Explanation: The output coefficient, diameter, length and synchronous speed are first
calculated. Then on substitution gives the kVA input and in turn gives the output
equation