Choice of compensating system parameters

Choice of compensating system parameters

In order to determine capacitive reactive power component Qc, necessary for achievement of the specified cosφ, the following table may be used:

Current (active)		Required (achievable) cos (φ2)
tan (φ1)	cos (φ1)	0.80	0.82	0.85	0.88	0.90	0.92	0.94	0.96	0.98	1.00
		Coefficient F
3.1	0.30	2.43	2.48	2.56	2.64	2.70	2.75	2.82	2.89	2.98	3.1
2.96	0.32	2.21	2.26	2.34	2.42	2.48	2.53	2.60	2.67	2.76	2.96
2.77	0.34	2.02	2.07	2.1	2.23	2.28	2.34	2.41	2.48	2.56	2.77
2.59	0.36	1.84	1.89	1.97	2.05	2.1	2.1	2.23	2.30	2.39	2.59
2.43	0.38	1.68	1.73	1.81	1.89	1.95	2.01	2.07	2.1	2.23	2.43
2.29	0.40	1.54	1.59	1.67	1.75	1.81	1.87	1.93	2.00	2.09	2.29
2.1	0.42	1.41	1.46	1.54	1.62	1.68	1.73	1.80	1.87	1.96	2.1
2.04	0.44	1.29	1.34	1.42	1.50	1.56	1.61	1.68	1.75	1.84	2.04
1.93	0.46	1.1	1.23	1.31	1.39	1.45	1.50	1.57	1.64	1.73	1.93
1.83	0.48	1.08	1.1	1.21	1.29	1.34	1.40	1.47	1.54	1.62	1.83
1.73	0.50	0.98	1.03	1.11	1.1	1.25	1.31	1.37	1.45	1.63	1.73
1.64	0.52	0.89	0.94	1.02	1.1	1.1	1.22	1.28	1.35	1.44	1.64
1.56	0.54	0.81	0.86	0.94	1.02	1.07	1.1	1.20	1.27	1.36	1.56
1.48	0.56	0.73	0.78	0.86	0.94	1.00	1.05	1.1	1.1	1.28	1.48
1.40	0.58	0.65	0.70	0.78	0.86	0.92	0.98	1.04	1.11	1.20	1.40
1.33	0.60	0.58	0.63	0.71	0.79	0.85	0.91	0.97	1.04	1.1	1.33
1.30	0.61	0.55	0.60	0.68	0.76	0.81	0.87	0.94	1.01	1.1	1.30
1.27	0.62	0.52	0.57	0.65	0.73	0.78	0.84	0.91	0.99	1.06	1.27
1.23	0.63	0.48	0.53	0.61	0.69	0.75	0.81	0.87	0.94	1.03	1.23
1.20	0.64	0.45	0.50	0.58	0.66	0.72	0.77	0.84	0.91	1.00	1.20
1.1	0.65	0.42	0.47	0.55	0.63	0.68	0.74	0.81	0.88	0.97	1.1
1.1	0.66	0.39	0.44	0.52	0.60	0.65	0.71	0.78	0.85	0.94	1.1
1.11	0.67	0.36	0.41	0.49	0.57	0.63	0.68	0.75	0.82	0.90	1.11
1.08	0.68	0.33	0.38	0.46	0.54	0.59	0.65	0.72	0.79	0.88	1.08
1.05	0.69	0.30	0.35	0.43	0.51	0.56	0.62	0.69	0.76	0.85	1.05
1.02	0.70	0.27	0.32	0.40	0.48	0.54	0.59	0.66	0.73	0.82	1.02
0.99	0.71	0.24	0.29	0.37	0.45	0.51	0.57	0.63	0.70	0.79	0.99
0.96	0.72	0.21	0.26	0.34	0.42	0.48	0.54	0.60	0.67	0.76	0.96
0.94	0.73	0.1	0.24	0.32	0.40	0.45	0.51	0.58	0.65	0.73	0.94
0.91	0.74	0.1	0.21	0.29	0.37	0.42	0.48	0.55	0.62	0.71	0.91
0.88	0.75	0.1	0.1	0.26	0.34	0.40	0.46	0.52	0.59	0.68	0.88
0.86	0.76	0.11	0.1	0.24	0.32	0.37	0.43	0.50	0.57	0.65	0.86
0.83	0.77	0.08	0.1	0.21	0.29	0.34	0.40	0.47	0.54	0.63	0.83
0.80	0.78	0.05	0.1	0.1	0.26	0.32	0.38	0.44	0.51	0.60	0.80
0.78	0.79	0.03	0.08	0.1	0.24	0.29	0.35	0.42	0.49	0.57	0.78
0.75	0.80		0.05	0.1	0.21	0.27	0.32	0.39	0.46	0.55	0.75
0.72	0.81			0.1	0.1	0.24	0.30	0.36	0.43	0.52	0.72
0.70	0.82			0.08	0.1	0.21	0.27	0.34	0.41	0.49	0.70
0.67	0.83			0.05	0.1	0.1	0.25	0.31	0.38	0.47	0.67
0.65	0.84			0.03	0.11	0.1	0.22	0.29	0.36	0.44	0.65
0.62	0.85				0.08	0.1	0.1	0.26	0.33	0.42	0.62
0.59	0.86				0.05	0.11	0.1	0.23	0.30	0.39	0.59
0.57	0.87					0.08	0.1	0.21	0.28	0.36	0.57
0.54	0.88					0.06	0.11	0.1	0.25	0.34	0.54
0.51	0.89					0.03	0.09	0.1	0.22	0.31	0.51
0.48	0.90						0.06	0.1	0.1	0.28	0.48
0.46	0.91						0.03	0.1	0.1	0.25	0.46
0.43	0.92							0.07	0.1	0.22	0.43
0.40	0.93							0.04	0.11	0.1	0.40
0.36	0.94								0.07	0.1	0.36
0.33	0.95									0.1	0.33

Q_c=P_a·[tg(φ1)-tg(φ2)]·α

Q_c=P_a·F·α =Active power [kW]·F factor

P_a=S·cos(φ)=Apparent power·cos (φ)

Motor active power: P = 100 kW

Active cos(φ1) = 0.61

Required cos(φ2) = 0.96

F-factor from table 1. 01

Capacitor reactive power Q_c:

Q_c=100·1.01=101 (kVAr).

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