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签到天数: 91 天 连续签到: 4 天 [LV.6]常住居民II
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发表于 2013-12-18 08:28
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来自: 中国浙江金华
Analysis Approach for Line-Start PM Synchronous Motors
Synchronous motors use a three-phase sinusoidal voltage source to induce a rotating magnetic field in the stator. Applying this three-phase sinusoidal voltage source to the stator winding of a synchro­nous motor yields the rotational magnetic field in the air gap. The permanent magnet poles mounted on the rotor try to align in this rotating field, producing a synchronous torque on the rotor. Upon starting, the damping winding on the rotor generates the asynchronous starting torque, creat­ing a self-starting feature.
The phasor diagram for the line-start permanent-magnet synchronous motor (LSSM) in the fre­quency domain is shown in Figure 6.
In Figure 6, R1, Xd, and Xq are armature resistance, d-axis synchronous reactance, and q-axis syn­chronous reactance, respectively. Xd is the sum of leakage reactance, X1 and d-axis armature reac­tance Xad, and Xq is the sum of X1 and q-axis armature reactance Xaq:
For a given torque angle , the angle that E0 lags U, we have the following:
Solving for Id and Iq yields:
The angle that I legs E0 is:
The power factor angle (or torque angle) that I legs U, is:
The input power (electric power) can now be computed from voltage and current as:
The output power (mechanical power) is:
where Pfw, PCu, and PFe are frictional and wind loss, armature copper loss, and iron-core loss, respectively.
The output mechanical power (torque) T2 is:
where is the synchronous speed in rad/s.
The efficiency is computed by:
The motor is started the same way as for an induction motor, by using a squirrel-cage-type winding -- called a damper winding in this case -- that is mounted on the rotor, producing the starting torque.
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