Induction Motor Tourqe Calculation

[ihsan canakoglu <acembuselik@xxxxxxxxx>]

Hi All,
We have studied an induction motor which parameters are as follows:

 

Pf=3 kW
2p=2 (p=1)
nr (nominal)=2844 d/d
f=50 Hz
U=380 V (Star connected)
Stator Current (nominal)=6.6 A and stator winding turn=42

 

In "Problem" definition, to obtain nominal operating point values, we
have given the frequency 2.6 Hz (ws=s*w => ws=(3000-2844)/3000*50=2.6
Hz).
Motor nominal tourqe, Tn=3000*60/(2*pi*2844)=10.07 Nm.
In FEMM model, the tourqe for this operating point has obtained ~80
Nm, ie 8 times of nominal tourqe.
All of other values, such as leakage inductance, stator and rotor
resistance are very close to obtained from experimental results.
Why the tourqe values are not close?

The fem file of our model is attached.

Best regards.

 

A. Ihsan Canakoglu

---

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[Format] = 3.3
[Frequency] = 2.6000000000000001
[Precision] = 1e-008
[Depth] = 1000
[LengthUnits] = millimeters
[ProblemType] = planar
[Coordinates] = cartesian
[Comment] = "Example Induction Motor\n50 Hz, 3kw, 380 V"
[PointProps] = 0
[BdryProps] = 4
<BeginBdry>
<BdryName> = "A=0"
<BdryType> = 0
<A_0> = 0
<A_1> = 0
<A_2> = 0
<Phi> = 0
<c0> = 0
<c1> = 0
<Mu_ssd> = 0
<Sigma_ssd> = 0
<EndBdry>
<BeginBdry>
<BdryName> = "apbc1"
<BdryType> = 5
<A_0> = 0
<A_1> = 0
<A_2> = 0
<Phi> = 0
<c0> = 0
<c1> = 0
<Mu_ssd> = 0
<Sigma_ssd> = 0
<EndBdry>
<BeginBdry>
<BdryName> = "apbc2"
<BdryType> = 5
<A_0> = 0
<A_1> = 0
<A_2> = 0
<Phi> = 0
<c0> = 0
<c1> = 0
<Mu_ssd> = 0
<Sigma_ssd> = 0
<EndBdry>
<BeginBdry>
<BdryName> = "apbc3"
<BdryType> = 5
<A_0> = 0
<A_1> = 0
<A_2> = 0
<Phi> = 0
<c0> = 0
<c1> = 0
<Mu_ssd> = 0
<Sigma_ssd> = 0
<EndBdry>
[BlockProps] = 4
<BeginBlock>
<BlockName> = "iron"
<Mu_x> = 4000
<Mu_y> = 4000
<H_c> = 0
<H_cAngle> = 0
<J_re> = 0
<J_im> = 0
<Sigma> = 0
<d_lam> = 0
<Phi_h> = 0
<Phi_hx> = 0
<Phi_hy> = 0
<LamType> = 0
<LamFill> = 1
<BHPoints> = 0
<EndBlock>
<BeginBlock>
<BlockName> = "alüminyum"
<Mu_x> = 1
<Mu_y> = 1
<H_c> = 0
<H_cAngle> = 0
<J_re> = 0
<J_im> = 0
<Sigma> = 34.450000000000003
<d_lam> = 0
<Phi_h> = 0
<Phi_hx> = 0
<Phi_hy> = 0
<LamType> = 0
<LamFill> = 1
<BHPoints> = 0
<EndBlock>
<BeginBlock>
<BlockName> = "Hava"
<Mu_x> = 1
<Mu_y> = 1
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<H_cAngle> = 0
<J_re> = 0
<J_im> = 0
<Sigma> = 0
<d_lam> = 0
<Phi_h> = 0
<Phi_hx> = 0
<Phi_hy> = 0
<LamType> = 0
<LamFill> = 1
<BHPoints> = 0
<EndBlock>
<BeginBlock>
<BlockName> = "Sargi"
<Mu_x> = 1
<Mu_y> = 1
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<H_cAngle> = 0
<J_re> = 0
<J_im> = 0
<Sigma> = 0
<d_lam> = 0
<Phi_h> = 0
<Phi_hx> = 0
<Phi_hy> = 0
<LamType> = 0
<LamFill> = 1
<BHPoints> = 0
<EndBlock>
[CircuitProps] = 12
<BeginCircuit>
<CircuitName> = "s1a+"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
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<TotalAmps_im> = 0
<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
<CircuitName> = "s2a+"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
<TotalAmps_re> = 392
<TotalAmps_im> = 0
<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
<CircuitName> = "s3a+"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
<TotalAmps_re> = 392
<TotalAmps_im> = 0
<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
<CircuitName> = "s4a+"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
<TotalAmps_re> = 392
<TotalAmps_im> = 0
<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
<CircuitName> = "s1c-"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
<TotalAmps_re> = 196
<TotalAmps_im> = 340
<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
<CircuitName> = "s2c-"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
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<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
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<VoltGradient_im> = 0
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<EndCircuit>
<BeginCircuit>
<CircuitName> = "s1b+"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
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<TotalAmps_im> = 340
<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
<CircuitName> = "s2b+"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
<TotalAmps_re> = -196
<TotalAmps_im> = 340
<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
<CircuitName> = "s3b+"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
<TotalAmps_re> = -196
<TotalAmps_im> = 340
<CircuitType> = 0
<EndCircuit>
<BeginCircuit>
<CircuitName> = "s4b+"
<VoltGradient_re> = 0
<VoltGradient_im> = 0
<TotalAmps_re> = -196
<TotalAmps_im> = 340
<CircuitType> = 0
<EndCircuit>
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131	132	-1	0	0	5
134	133	-1	0	0	5
136	135	-1	0	0	5
137	138	-1	0	0	5
140	139	-1	0	0	5
141	142	-1	0	0	5
144	143	-1	0	0	5
145	146	-1	0	0	5
147	148	-1	0	0	5
149	150	-1	0	0	5
151	152	-1	0	0	5
153	154	-1	0	0	5
155	156	-1	0	0	5
157	158	-1	0	0	5
160	159	-1	0	0	5
161	162	-1	0	0	5
164	163	-1	0	0	5
165	166	-1	0	0	5
167	168	-1	0	0	5
170	169	-1	0	0	5
171	172	-1	0	0	5
174	173	-1	0	0	5
175	176	-1	0	0	5
178	177	-1	0	0	5
180	179	-1	0	0	5
182	181	-1	0	0	5
184	183	-1	0	0	5
185	186	-1	0	0	5
187	188	-1	0	0	5
189	190	-1	0	0	5
192	191	-1	0	0	5
194	193	-1	0	0	5
196	195	-1	0	0	5
198	197	-1	0	0	5
190	197	-1	0	0	5
187	180	-1	0	0	5
170	177	-1	0	0	0
75	70	-1	0	0	4
67	62	-1	0	0	4
54	59	-1	0	0	4
160	167	-1	0	0	5
150	157	-1	0	0	5
51	46	-1	0	0	4
140	147	-1	0	0	5
38	43	-1	0	0	4
130	137	-1	0	0	5
30	35	-1	0	0	4
127	120	-1	0	0	5
110	117	-1	0	0	5
27	22	-1	0	0	4
107	100	-1	0	0	5
19	14	-1	0	0	4
97	90	-1	0	0	5
6	11	-1	0	0	4
87	80	-1	0	0	5
1	199	-1	2	0	5
199	77	-1	4	0	0
77	3	-1	3	0	4
4	2	-1	3	0	4
78	4	-1	4	0	0
0	78	-1	2	0	5
[NumArcSegments] = 100
0	1	179.99999999999983	0.69769999999999999	1	0	5
2	3	179.99999999999983	2.6869999999999998	1	0	4
4	5	11.099123375569748	5	0	0	4
7	6	84.142501230400754	5	0	0	4
9	8	160.06175727545326	5	0	0	4
11	10	84.142501230401294	5	0	0	4
12	13	17.421472327424119	5	0	0	4
15	14	84.142501230400754	5	0	0	4
17	16	160.06175727545326	5	0	0	4
19	18	84.142501230401294	5	0	0	4
20	21	17.421472327424119	5	0	0	4
23	22	84.142501230400754	5	0	0	4
25	24	160.06175727545326	5	0	0	4
27	26	84.142501230401294	5	0	0	4
28	29	17.421472327424119	5	0	0	4
31	30	84.142501230400754	5	0	0	4
33	32	160.06175727545326	5	0	0	4
35	34	84.142501230401294	5	0	0	4
36	37	17.421472327424119	5	0	0	4
39	38	84.142501230400754	5	0	0	4
41	40	160.06175727545326	5	0	0	4
43	42	84.142501230401294	5	0	0	4
44	45	17.421472327424119	5	0	0	4
47	46	84.142501230400754	5	0	0	4
49	48	160.06175727545326	5	0	0	4
51	50	84.142501230401294	5	0	0	4
52	53	17.421472327424119	5	0	0	4
55	54	84.142501230400754	5	0	0	4
57	56	160.06175727545326	5	0	0	4
59	58	84.142501230401294	5	0	0	4
60	61	17.421472327424119	5	0	0	4
63	62	84.142501230400754	5	0	0	4
65	64	160.06175727545326	5	0	0	4
67	66	84.142501230401294	5	0	0	4
68	69	17.421472327424119	5	0	0	4
71	70	84.142501230400754	5	0	0	4
73	72	160.06175727545326	5	0	0	4
75	74	84.142501230401294	5	0	0	4
76	77	6.3223489518543801	5	0	0	4
78	79	5.5976025525287518	5	0	0	5
80	81	61.813803713392787	5	0	0	5
82	83	97.508703873655492	5	0	0	5
84	85	97.508703873655492	5	0	0	5
86	87	61.813803713392808	5	0	0	5
88	89	11.418430681342114	5	0	0	5
90	91	61.813803713392787	5	0	0	5
92	93	97.508703873655492	5	0	0	5
94	95	97.508703873655492	5	0	0	5
96	97	61.813803713392808	5	0	0	5
98	99	11.418430681342114	5	0	0	5
100	101	61.813803713392787	5	0	0	5
102	103	97.508703873655492	5	0	0	5
104	105	97.508703873655492	5	0	0	5
106	107	61.813803713392808	5	0	0	5
108	109	11.418430681342114	5	0	0	5
110	111	61.813803713392787	5	0	0	5
112	113	97.508703873655492	5	0	0	5
114	115	97.508703873655492	5	0	0	5
116	117	61.813803713392808	5	0	0	5
118	119	11.418430681342114	5	0	0	5
120	121	61.813803713392787	5	0	0	5
122	123	97.508703873655492	5	0	0	5
124	125	97.508703873655492	5	0	0	5
126	127	61.813803713392808	5	0	0	5
128	129	11.418430681342114	5	0	0	5
130	131	61.813803713392787	5	0	0	5
132	133	97.508703873655492	5	0	0	5
134	135	97.508703873655492	5	0	0	5
136	137	61.813803713392808	5	0	0	5
138	139	11.418430681342114	5	0	0	5
140	141	61.813803713392787	5	0	0	5
142	143	97.508703873655492	5	0	0	5
144	145	97.508703873655492	5	0	0	5
146	147	61.813803713392808	5	0	0	5
148	149	11.418430681342114	5	0	0	5
150	151	61.813803713392787	5	0	0	5
152	153	97.508703873655492	5	0	0	5
154	155	97.508703873655492	5	0	0	5
156	157	61.813803713392808	5	0	0	5
158	159	11.418430681342114	5	0	0	5
160	161	61.813803713392787	5	0	0	5
162	163	97.508703873655492	5	0	0	5
164	165	97.508703873655492	5	0	0	5
166	167	61.813803713392808	5	0	0	5
168	169	11.418430681342114	5	0	0	5
170	171	61.813803713392787	5	0	0	5
172	173	97.508703873655492	5	0	0	5
174	175	97.508703873655492	5	0	0	5
176	177	61.813803713392808	5	0	0	5
178	179	11.418430681342114	5	0	0	5
180	181	61.813803713392787	5	0	0	5
182	183	97.508703873655492	5	0	0	5
184	185	97.508703873655492	5	0	0	5
186	187	61.813803713392808	5	0	0	5
188	189	11.418430681342114	5	0	0	5
190	191	61.813803713392787	5	0	0	5
192	193	97.508703873655492	5	0	0	5
194	195	97.508703873655492	5	0	0	5
196	197	61.813803713392808	5	0	0	5
198	199	5.8208281288133659	5	0	0	5
[NumHoles] = 0
[NumBlockLabels] = 24
47.600000000000001	5.9000000000000004	4	2	1	0	1
44.700000000000003	17.899999999999999	4	2	2	0	1
39.200000000000003	29.300000000000001	4	2	3	0	1
28.800000000000001	38.5	4	2	4	0	1
18.300000000000001	44.899999999999999	4	2	5	0	2
5.9000000000000004	48.100000000000001	4	2	6	0	2
-6.7000000000000002	48.5	4	2	7	0	2
-19.100000000000001	44.399999999999999	4	2	8	0	2
-30.600000000000001	38.799999999999997	4	2	9	0	3
-40.299999999999997	29.699999999999999	4	2	10	0	3
-46.700000000000003	19	4	2	11	0	3
-50.5	5.9000000000000004	4	2	12	0	3
31.699999999999999	6.5	2	2	0	0	4
28	17.600000000000001	2	2	0	0	4
19.699999999999999	25.199999999999999	2	2	0	0	4
9.6999999999999993	30.199999999999999	2	2	0	0	4
-1.7	32.5	2	2	0	0	4
-13.199999999999999	29.699999999999999	2	2	0	0	4
-22.399999999999999	23.699999999999999	2	2	0	0	4
-29.399999999999999	14	2	2	0	0	4
-33.5	4	2	2	0	0	4
-9.6999999999999993	19	1	3	0	0	4
-0.90000000000000002	65.799999999999997	1	3	0	0	5
39.700000000000003	4.5999999999999996	3	2	0	0	2