电机学计算

Motor parameter can be get from free load and stall test Example 5-3 page 192Input data Nominal value:

Nominal power

Pn(W)10000slip ratio s N Nominal voltage

Un(V)380Power output P2(W)Connection

Y/D Δefficiency (P2/P1)?Pole-pairs

p 2Stator Line Current I1(A)phases

m 3power factor Cos(f1)frequency

f(Hz)50Input power P1(W)Stator (each phase)rotor current I2'(A)

Resistance

R1(Ω) 1.33electromagnetic current Im(A)Leakage reactance

X1(Ω) 2.43speed Nn(rpm)Rotor (reduction parameter):electromagnetic torque Te(N)

Resistance R2'(Ω) 1.12Torque T2(N m)Leakage reactance X2'(Ω) 4.4

intermediate:

magnetizing resistance Rm(Ω)7complex magnetizing reactance Xm(Ω)90U1 dot(Phase voltage)380

Z1 1.33+2.43j

Mechanical loss p Ω(W)100Z2'35+4.4j miscellaneous loss under N p Δ(W)

100

Zm 7+90j

Z2'//Zm 27.53307804139I1 dot (Stator phase cur 9.988150295828Zm//(Zm+Z2')0.823391435979Z2'//(Zm+Z2')0.176608564020p Cu1(W)stator cu loss p Fe1(W)stator Fe loss p Cu2(W)rotor cu loss

p Ω(W)p Δ(W)

ns(rpm) (Synchronous speed)P Ω(W) (total mechanical power)

P e (W) (electromagnetic power)Ω (rad/s)Ω (rad/s)E2'

c~=1+x1'/Xm

s for P Ω maximum

低速时，等功率造成阻力扭矩很大

ref: Determina

Pay attention to sN=0 and 1.optimize by "solver"Mechanical performance

0.0322.637735step(rpm)Speed Slip rateTe T2P Ω(W) (total mechanical power)10002.6410000

50rpm

s Nm

W 87.847%10202.64

56.59165-12675.80.8889419.86203500.96666758.3281320.13095305.40540.8710081000.933333

60.1764641.07787630.166411386.491500.962.1412349.40883976.112110.018992000.86666764.2332254.683921345.2973.915117

2500.833333

66.4644958.825051740.03614523000.868.8485262.482332162.9467.099183500.76666771.4004365.943692616.96365.78385

4000.733333

74.1371569.36253105.454500.777.0776172.833483632.1975000.66666780.2430176.423294201.514modulus argument

5500.633333

83.6569480.184474818.29438006000.687.3455484.162445488.0822.77016261.307016500.56666791.3374488.39926217.14335.275497.1653097000.533333

95.6635492.93517

7012.504

90.2718185.552627500.5100.356297.809737881.95830.8200926.702938000.466667105.4477103.06048833.967

11.46735-29.4248500.433333

110.9672108.72039877.3860.87369719.537639000.341414-58.8497

950524.68531000321.891

1050

337.2773337.2773

1100100

115010012001500

125010202.6410202.6410208.46130010539.92

1350

1400152.0531*******.0796

1500353.424788.35618

1.0270.1337137.25612851.397

0500010000

150002000025000020

100

120

140

160

180

200

050010001500

T o r q u e (N m )

Motor speed (rpm)

ef: Determination of the Performance Extreme Values of a Three-phase Induction Machine Using Algebraic and Graphic

hanical power)

ng Algebraic and Graphical Methods.pdf