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What is the formula of the output equation of single-phase induction motor?
Q=C0D2Lns
Q=C0D2Lns
Q=D2LnsC0
Q=D2LC0ns
Q=C0D2Lns
The output equation for an induction motor represents the relationship between the machine's power rating and its physical dimensions · It shows that the power output Q (often represented as P or kVA) is directly proportional to the volume of the rotor (D2L) and the synchronous speed (ns).
The output equation for an induction motor represents the relationship between the machine's power rating and its physical dimensions · It shows that the power output Q (often represented as P or kVA) is directly proportional to the volume of the rotor (D2L) and the synchronous speed (ns).
Q=C0D2Lns — Main output equation for induction motors
C0=1.11π2Bavac×10−3 — Definition of output coefficient
The output equation is derived from the fundamental EMF equation of the machine · It links the electromagnetic loading (represented by specific magnetic loading Bav and specific electric loading ac) with the mechanical dimensions, where C0 acts as the output coefficient, capturing the design constants of the motor.
D is the internal diameter of the stator (m).
L is the gross length of the stator core (m).
ns is the synchronous speed in revolutions per second.
C0 is the output coefficient, which depends on specific magnetic and electric loadings.
Used for initial sizing of electrical machines.
Provides a quick estimation of physical dimensions for a required output rating.
Does not account for saturation effects directly.
Requires empirical determination of the output coefficient based on machine type.
Design of single-phase induction motors.
Estimation of frame size for small industrial motors.
The constant C0 is significantly affected by the power factor and efficiency of the motor.
In design practice, the ratio of core length to pole pitch is often used to optimize the value of D2L.
A is correct — The output equation Q=C0D2Lns defines the proportionality between motor output, core volume, and speed.
Remember that in rotating electrical machines, increasing the volume (D2L) leads to a linear increase in power capability for a fixed speed.