Static Voltage Safety Analysis Based on ELM for Active Distribution Power Grid

doi:10.12204/j.issn.1000-7229.2021.08.003

Abstract

Abstract:

With the increase of uncertainty caused by the single phase access of distributed renewable generation (DRG) in the distribution power grid, the static safety analysis for overvoltage and imbalance of the distribution power grid with DRG faces new challenges. This paper proposes to use the extreme learning machine to analyze the complex relationship between the input and output of the three-phase power flow calculations in distribution network. The trained network can greatly improve the efficiency of power flow calculation in different scenarios caused by DRG fluctuations with this topology. On this basis, a voltage safety analysis method considering multiple scenarios of distribution power grid is proposed, which can quickly analyze and judge the safety of grid nodes. Finally, this paper uses IEEE 13-node,IEEE 33-node and IEEE 118-node systems with DRG for simulation calculation. The experimental results show that the method proposed in this paper is more effective than the traditional three-phase power flow calculation method without any convergence problem, and has higher efficiency and accuracy than BP neural network. The effectiveness of the proposed method is verified.

Key words: extreme learning machine, overvoltage analysis, safety analysis, neural network

CLC Number:

TM72

HAN Chenyu, XU Peng, ZHU Hong, LIU Shaojun, WANG Beibei. Static Voltage Safety Analysis Based on ELM for Active Distribution Power Grid[J]. ELECTRIC POWER CONSTRUCTION, 2021, 42(8): 18-28.

Figures/Tables 18

References 33

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节点编号	V_max /pu	V_min/pu	P/MW	Q/ (MV·A)	节点编号	V_max /pu	V_min/pu	P/MW	Q/ (MV·A)	节点编号	V_max /pu	V_min/pu	P/MW	Q/ (MV·A)
1	1.06	0.94	51	27	41	1.06	0.94	34	0	81	1.06	0.94	11	7
2	1.06	0.94	20	9	42	1.06	0.94	20	11	82	1.06	0.94	24	15
3	1.06	0.94	14	1	43	1.06	0.94	52	22	83	1.06	0.94	21	10
4	1.06	0.94	90	30	44	1.06	0.94	87	30	84	1.06	0.94	70	23
5	1.06	0.94	25	10	45	1.06	0.94	17	4	85	1.06	0.94	48	10
6	1.06	0.94	25	10	46	1.06	0.94	17	8	86	1.06	0.94	163	42
7	1.06	0.94	11	3	47	1.06	0.94	18	5	87	1.06	0.94	10	0
8	1.06	0.94	60	34	48	1.06	0.94	23	11	88	1.06	0.94	10	0
9	1.06	0.94	45	25	49	1.06	0.94	113	32	89	1.06	0.94	38	15
10	1.06	0.94	18	3	50	1.06	0.94	63	22	90	1.06	0.94	65	10
11	1.06	0.94	45	25	51	1.06	0.94	84	18	91	1.06	0.94	12	7
12	1.06	0.94	18	3	52	1.06	0.94	12	3	92	1.06	0.94	30	16
13	1.06	0.94	14	8	53	1.06	0.94	12	3	93	1.06	0.94	42	31
14	1.06	0.94	10	5	54	1.06	0.94	19	2	94	1.06	0.94	38	15
15	1.06	0.94	7	3	55	1.06	0.94	277	113	95	1.06	0.94	15	9
16	1.06	0.94	39	10	56	1.06	0.94	78	3	96	1.06	0.94	34	8
17	1.06	0.94	13	0	57	1.06	0.94	77	14	97	1.06	0.94	47	10
18	1.06	0.94	71	13	58	1.06	0.94	39	18	98	1.06	0.94	42	0
19	1.06	0.94	17	7	59	1.06	0.94	28	7	99	1.06	0.94	37	18
20	1.06	0.94	24	4	60	1.06	0.94	66	20	100	1.06	0.94	22	15
21	1.06	0.94	43	27	61	1.06	0.94	66	20	101	1.06	0.94	5	3
22	1.06	0.94	59	23	62	1.06	0.94	12	0	102	1.06	0.94	23	16
23	1.06	0.94	23	9	63	1.06	0.94	78	3	103	1.06	0.94	38	25
24	1.06	0.94	59	26	64	1.06	0.94	77	14	104	1.06	0.94	31	26
25	1.06	0.94	23	9	65	1.06	0.94	39	18	105	1.06	0.94	43	16
26	1.06	0.94	59	26	66	1.06	0.94	6	0	106	1.06	0.94	50	12
27	1.06	0.94	33	9	67	1.06	0.94	68	27	107	1.06	0.94	2	1
28	1.06	0.94	31	17	68	1.06	0.94	6	0	108	1.06	0.94	34	16
29	1.06	0.94	39	12	69	1.06	0.94	68	27	109	1.06	0.94	8	3
30	1.06	0.94	27	11	70	1.06	0.94	47	11	110	1.06	0.94	39	30
31	1.06	0.94	27	11	71	1.06	0.94	68	36	111	1.06	0.94	22	7
32	1.06	0.94	66	23	72	1.06	0.94	28	0	112	1.06	0.94	68	13
33	1.06	0.94	37	10	73	1.06	0.94	68	36	113	1.06	0.94	6	0
34	1.06	0.94	96	23	74	1.06	0.94	61	28	114	1.06	0.94	8	3
35	1.06	0.94	18	7	75	1.06	0.94	71	26	115	1.06	0.94	22	7
36	1.06	0.94	16	8	76	1.06	0.94	39	32	116	1.06	0.94	184	0
37	1.06	0.94	18	7	77	1.06	0.94	130	26	117	1.06	0.94	20	8
38	1.06	0.94	16	8	78	1.06	0.94	54	27	118	1.06	0.94	33	15
39	1.06	0.94	53	22	79	1.06	0.94	20	10
40	1.06	0.94	28	10	80	1.06	0.94	11	7

节点编号	V_max /pu	V_min/pu	P/MW	Q/ (MV·A)	节点编号	V_max /pu	V_min/pu	P/MW	Q/ (MV·A)	节点编号	V_max /pu	V_min/pu	P/MW	Q/ (MV·A)
1	1.06	0.94	51	27	41	1.06	0.94	34	0	81	1.06	0.94	11	7
2	1.06	0.94	20	9	42	1.06	0.94	20	11	82	1.06	0.94	24	15
3	1.06	0.94	14	1	43	1.06	0.94	52	22	83	1.06	0.94	21	10
4	1.06	0.94	90	30	44	1.06	0.94	87	30	84	1.06	0.94	70	23
5	1.06	0.94	25	10	45	1.06	0.94	17	4	85	1.06	0.94	48	10
6	1.06	0.94	25	10	46	1.06	0.94	17	8	86	1.06	0.94	163	42
7	1.06	0.94	11	3	47	1.06	0.94	18	5	87	1.06	0.94	10	0
8	1.06	0.94	60	34	48	1.06	0.94	23	11	88	1.06	0.94	10	0
9	1.06	0.94	45	25	49	1.06	0.94	113	32	89	1.06	0.94	38	15
10	1.06	0.94	18	3	50	1.06	0.94	63	22	90	1.06	0.94	65	10
11	1.06	0.94	45	25	51	1.06	0.94	84	18	91	1.06	0.94	12	7
12	1.06	0.94	18	3	52	1.06	0.94	12	3	92	1.06	0.94	30	16
13	1.06	0.94	14	8	53	1.06	0.94	12	3	93	1.06	0.94	42	31
14	1.06	0.94	10	5	54	1.06	0.94	19	2	94	1.06	0.94	38	15
15	1.06	0.94	7	3	55	1.06	0.94	277	113	95	1.06	0.94	15	9
16	1.06	0.94	39	10	56	1.06	0.94	78	3	96	1.06	0.94	34	8
17	1.06	0.94	13	0	57	1.06	0.94	77	14	97	1.06	0.94	47	10
18	1.06	0.94	71	13	58	1.06	0.94	39	18	98	1.06	0.94	42	0
19	1.06	0.94	17	7	59	1.06	0.94	28	7	99	1.06	0.94	37	18
20	1.06	0.94	24	4	60	1.06	0.94	66	20	100	1.06	0.94	22	15
21	1.06	0.94	43	27	61	1.06	0.94	66	20	101	1.06	0.94	5	3
22	1.06	0.94	59	23	62	1.06	0.94	12	0	102	1.06	0.94	23	16
23	1.06	0.94	23	9	63	1.06	0.94	78	3	103	1.06	0.94	38	25
24	1.06	0.94	59	26	64	1.06	0.94	77	14	104	1.06	0.94	31	26
25	1.06	0.94	23	9	65	1.06	0.94	39	18	105	1.06	0.94	43	16
26	1.06	0.94	59	26	66	1.06	0.94	6	0	106	1.06	0.94	50	12
27	1.06	0.94	33	9	67	1.06	0.94	68	27	107	1.06	0.94	2	1
28	1.06	0.94	31	17	68	1.06	0.94	6	0	108	1.06	0.94	34	16
29	1.06	0.94	39	12	69	1.06	0.94	68	27	109	1.06	0.94	8	3
30	1.06	0.94	27	11	70	1.06	0.94	47	11	110	1.06	0.94	39	30
31	1.06	0.94	27	11	71	1.06	0.94	68	36	111	1.06	0.94	22	7
32	1.06	0.94	66	23	72	1.06	0.94	28	0	112	1.06	0.94	68	13
33	1.06	0.94	37	10	73	1.06	0.94	68	36	113	1.06	0.94	6	0
34	1.06	0.94	96	23	74	1.06	0.94	61	28	114	1.06	0.94	8	3
35	1.06	0.94	18	7	75	1.06	0.94	71	26	115	1.06	0.94	22	7
36	1.06	0.94	16	8	76	1.06	0.94	39	32	116	1.06	0.94	184	0
37	1.06	0.94	18	7	77	1.06	0.94	130	26	117	1.06	0.94	20	8
38	1.06	0.94	16	8	78	1.06	0.94	54	27	118	1.06	0.94	33	15
39	1.06	0.94	53	22	79	1.06	0.94	20	10
40	1.06	0.94	28	10	80	1.06	0.94	11	7

出发节点	到达节点	电容/ (nF·km^-1)	电阻/ (Ω·km^-1)	电抗/ (Ω·km^-1)	出发节点	到达节点	电容/ (nF·km^-1)	电阻/ (Ω·km^-1)	电抗/ (Ω·km^-1)	出发节点	到达节点	电容/ (nF·km^-1)	电阻/ (Ω·km^-1)	电抗/ (Ω·km^-1)
0	1	353.79	5.77	19.02	36	38	376.08	6.11	20.18	75	76	512.58	8.46	28.18
0	2	150.71	2.46	8.07	36	39	585.01	11.29	31.99	75	117	188.87	3.12	10.35
1	11	218.96	3.56	11.73	37	64	2 331.10	10.72	117.30	76	77	176.06	0.72	2.36
2	4	395.58	4.59	20.56	38	39	216.17	3.50	11.52	76	79	657.43	3.24	9.24
2	11	565.51	9.22	30.47	39	40	170.21	2.76	9.27	76	81	1 138.53	5.68	16.24
3	4	29.25	0.34	1.52	39	41	649.08	10.56	34.85	77	78	90.26	1.04	4.65
3	10	243.47	3.98	13.10	40	41	479.15	7.81	25.70	78	79	260.47	2.97	13.40
4	5	198.62	2.27	10.28	41	48	1 197.86	13.61	61.51	79	95	688.08	6.78	34.66
4	10	242.08	3.87	12.98	42	43	845.19	11.57	46.73	79	96	353.79	3.49	17.78
5	6	76.61	0.87	3.96	43	44	312.00	4.27	17.15	79	97	398.36	4.53	20.56
6	11	121.74	1.64	6.47	44	45	462.43	7.62	25.82	79	98	760.51	8.65	39.23
7	8	2 589.62	2.90	36.30	44	48	618.43	13.02	35.42	81	82	528.73	2.13	6.98
7	29	1 145.49	5.13	59.98	45	46	440.15	7.24	24.18	81	95	757.72	3.09	10.09
8	9	2 741.16	3.07	38.32	45	47	657.43	11.44	35.99	82	83	359.36	11.90	25.13
10	11	69.92	1.13	3.73	46	48	223.42	3.64	11.90	82	84	484.72	8.19	28.18
10	12	261.30	4.24	13.92	46	68	987.82	16.07	52.90	83	84	171.88	5.75	12.20
11	13	252.95	4.09	13.46	47	48	175.22	3.41	9.62	84	85	384.43	6.67	23.42
11	15	298.07	4.04	15.88	48	49	261.02	5.08	14.32	84	87	384.43	3.81	19.42
11	116	498.65	6.27	26.66	48	50	476.36	9.26	26.09	84	88	654.65	4.55	32.94
12	14	873.05	14.16	46.54	48	53	1 027.93	13.90	55.03	87	88	269.38	2.65	13.55
13	14	699.22	11.33	37.13	48	65	345.43	3.43	17.50	88	89	735.44	9.86	35.80
14	16	618.43	2.51	8.32	48	68	1 153.29	18.75	61.70	88	91	763.29	1.89	9.62
14	18	140.68	2.29	7.50	49	56	462.43	9.03	25.51	89	90	298.07	4.84	15.92
14	32	444.88	7.24	23.69	50	51	194.44	3.87	11.19	90	91	455.19	7.37	24.22
15	16	649.08	8.65	34.29	50	57	249.05	4.86	13.69	91	92	303.65	4.91	16.14
16	17	180.79	2.34	9.62	51	52	565.23	7.71	31.13	91	93	565.51	9.16	30.08
16	30	555.76	9.03	29.76	52	53	431.79	5.01	23.23	91	99	657.43	12.34	56.17
16	112	106.97	1.74	5.73	53	54	281.36	3.22	13.46	91	101	203.92	2.34	10.64
17	18	159.07	2.13	9.39	53	55	101.96	0.52	1.82	92	93	261.3	4.25	13.94
18	19	415.08	4.80	22.28	53	58	832.94	9.58	43.66	93	94	154.61	2.51	8.27
18	33	880.29	14.32	47.03	54	55	52.09	0.93	2.88	93	95	320.36	5.12	16.54
19	20	300.86	3.49	16.16	54	58	786.41	9.02	41.09	93	99	841.29	3.39	11.04
20	21	342.65	3.98	18.47	55	56	337.07	6.53	18.39	94	95	205.31	3.26	10.41
21	22	562.72	6.51	30.27	55	57	337.07	6.53	18.39	95	96	334.29	3.29	16.85
22	23	693.65	2.57	9.37	55	58	792.54	15.71	47.80	97	99	663.01	7.56	34.08
22	24	1 203.44	2.97	15.23	58	59	523.72	6.04	27.61	98	99	300.86	3.43	15.48
22	31	1 633.83	6.04	21.95	58	60	540.43	6.25	28.56	99	100	456.86	5.28	24.03
23	69	1 420.44	0.42	78.36	59	60	202.80	0.50	2.57	99	102	746.58	3.05	10.00
23	71	679.72	9.29	37.32	59	61	204.47	2.34	10.68	99	103	753.54	8.59	38.84
24	26	2 457.02	6.06	31.04	60	61	136.50	1.57	7.16	99	105	863.58	11.52	43.61
25	29	2 023.56	9.51	102.30	61	65	805.08	9.18	41.51	100	101	409.50	4.68	21.32
26	27	300.86	3.64	16.28	61	66	431.79	4.91	22.28	102	103	566.90	8.87	30.16
26	31	268.27	4.36	14.37	62	63	481.38	2.05	23.80	102	104	568.29	10.18	30.94
26	114	274.67	3.12	14.11	63	64	846.87	3.20	35.94	102	109	642.11	7.44	34.52
27	28	331.50	4.51	17.95	65	66	373.57	4.27	19.32	103	104	137.34	1.89	7.20
28	30	115.61	2.06	6.30	68	69	1 699.30	5.71	24.18	104	105	199.74	2.67	10.41
29	37	940.47	5.52	64.27	68	74	1 727.15	7.71	23.23	104	106	657.43	10.09	34.85
30	31	349.61	5.68	18.75	68	76	1 445.79	5.88	19.23	104	107	256.85	4.97	13.38
31	112	721.51	11.71	38.65	69	70	122.29	1.68	6.76	105	106	657.43	10.09	34.85
31	113	226.76	2.57	11.65	69	73	469.12	7.64	25.19	107	108	105.86	2.00	5.48
32	36	509.79	7.90	27.04	69	74	501.43	8.15	26.85	108	109	281.36	5.29	14.51
33	35	79.12	1.66	5.10	70	71	618.99	8.49	34.27	109	110	278.57	4.19	14.37
33	36	137.06	0.49	1.79	70	72	164.08	1.65	8.65	109	111	863.58	4.70	12.18
33	42	588.63	7.87	32.01	73	74	144.02	2.34	7.73	113	114	38.44	0.44	1.98
34	35	37.33	0.43	1.94	74	76	693.37	11.44	38.06
34	36	183.58	2.09	9.46	74	117	166.87	2.76	9.16

出发节点	到达节点	电容/ (nF·km^-1)	电阻/ (Ω·km^-1)	电抗/ (Ω·km^-1)	出发节点	到达节点	电容/ (nF·km^-1)	电阻/ (Ω·km^-1)	电抗/ (Ω·km^-1)	出发节点	到达节点	电容/ (nF·km^-1)	电阻/ (Ω·km^-1)	电抗/ (Ω·km^-1)
0	1	353.79	5.77	19.02	36	38	376.08	6.11	20.18	75	76	512.58	8.46	28.18
0	2	150.71	2.46	8.07	36	39	585.01	11.29	31.99	75	117	188.87	3.12	10.35
1	11	218.96	3.56	11.73	37	64	2 331.10	10.72	117.30	76	77	176.06	0.72	2.36
2	4	395.58	4.59	20.56	38	39	216.17	3.50	11.52	76	79	657.43	3.24	9.24
2	11	565.51	9.22	30.47	39	40	170.21	2.76	9.27	76	81	1 138.53	5.68	16.24
3	4	29.25	0.34	1.52	39	41	649.08	10.56	34.85	77	78	90.26	1.04	4.65
3	10	243.47	3.98	13.10	40	41	479.15	7.81	25.70	78	79	260.47	2.97	13.40
4	5	198.62	2.27	10.28	41	48	1 197.86	13.61	61.51	79	95	688.08	6.78	34.66
4	10	242.08	3.87	12.98	42	43	845.19	11.57	46.73	79	96	353.79	3.49	17.78
5	6	76.61	0.87	3.96	43	44	312.00	4.27	17.15	79	97	398.36	4.53	20.56
6	11	121.74	1.64	6.47	44	45	462.43	7.62	25.82	79	98	760.51	8.65	39.23
7	8	2 589.62	2.90	36.30	44	48	618.43	13.02	35.42	81	82	528.73	2.13	6.98
7	29	1 145.49	5.13	59.98	45	46	440.15	7.24	24.18	81	95	757.72	3.09	10.09
8	9	2 741.16	3.07	38.32	45	47	657.43	11.44	35.99	82	83	359.36	11.90	25.13
10	11	69.92	1.13	3.73	46	48	223.42	3.64	11.90	82	84	484.72	8.19	28.18
10	12	261.30	4.24	13.92	46	68	987.82	16.07	52.90	83	84	171.88	5.75	12.20
11	13	252.95	4.09	13.46	47	48	175.22	3.41	9.62	84	85	384.43	6.67	23.42
11	15	298.07	4.04	15.88	48	49	261.02	5.08	14.32	84	87	384.43	3.81	19.42
11	116	498.65	6.27	26.66	48	50	476.36	9.26	26.09	84	88	654.65	4.55	32.94
12	14	873.05	14.16	46.54	48	53	1 027.93	13.90	55.03	87	88	269.38	2.65	13.55
13	14	699.22	11.33	37.13	48	65	345.43	3.43	17.50	88	89	735.44	9.86	35.80
14	16	618.43	2.51	8.32	48	68	1 153.29	18.75	61.70	88	91	763.29	1.89	9.62
14	18	140.68	2.29	7.50	49	56	462.43	9.03	25.51	89	90	298.07	4.84	15.92
14	32	444.88	7.24	23.69	50	51	194.44	3.87	11.19	90	91	455.19	7.37	24.22
15	16	649.08	8.65	34.29	50	57	249.05	4.86	13.69	91	92	303.65	4.91	16.14
16	17	180.79	2.34	9.62	51	52	565.23	7.71	31.13	91	93	565.51	9.16	30.08
16	30	555.76	9.03	29.76	52	53	431.79	5.01	23.23	91	99	657.43	12.34	56.17
16	112	106.97	1.74	5.73	53	54	281.36	3.22	13.46	91	101	203.92	2.34	10.64
17	18	159.07	2.13	9.39	53	55	101.96	0.52	1.82	92	93	261.3	4.25	13.94
18	19	415.08	4.80	22.28	53	58	832.94	9.58	43.66	93	94	154.61	2.51	8.27
18	33	880.29	14.32	47.03	54	55	52.09	0.93	2.88	93	95	320.36	5.12	16.54
19	20	300.86	3.49	16.16	54	58	786.41	9.02	41.09	93	99	841.29	3.39	11.04
20	21	342.65	3.98	18.47	55	56	337.07	6.53	18.39	94	95	205.31	3.26	10.41
21	22	562.72	6.51	30.27	55	57	337.07	6.53	18.39	95	96	334.29	3.29	16.85
22	23	693.65	2.57	9.37	55	58	792.54	15.71	47.80	97	99	663.01	7.56	34.08
22	24	1 203.44	2.97	15.23	58	59	523.72	6.04	27.61	98	99	300.86	3.43	15.48
22	31	1 633.83	6.04	21.95	58	60	540.43	6.25	28.56	99	100	456.86	5.28	24.03
23	69	1 420.44	0.42	78.36	59	60	202.80	0.50	2.57	99	102	746.58	3.05	10.00
23	71	679.72	9.29	37.32	59	61	204.47	2.34	10.68	99	103	753.54	8.59	38.84
24	26	2 457.02	6.06	31.04	60	61	136.50	1.57	7.16	99	105	863.58	11.52	43.61
25	29	2 023.56	9.51	102.30	61	65	805.08	9.18	41.51	100	101	409.50	4.68	21.32
26	27	300.86	3.64	16.28	61	66	431.79	4.91	22.28	102	103	566.90	8.87	30.16
26	31	268.27	4.36	14.37	62	63	481.38	2.05	23.80	102	104	568.29	10.18	30.94
26	114	274.67	3.12	14.11	63	64	846.87	3.20	35.94	102	109	642.11	7.44	34.52
27	28	331.50	4.51	17.95	65	66	373.57	4.27	19.32	103	104	137.34	1.89	7.20
28	30	115.61	2.06	6.30	68	69	1 699.30	5.71	24.18	104	105	199.74	2.67	10.41
29	37	940.47	5.52	64.27	68	74	1 727.15	7.71	23.23	104	106	657.43	10.09	34.85
30	31	349.61	5.68	18.75	68	76	1 445.79	5.88	19.23	104	107	256.85	4.97	13.38
31	112	721.51	11.71	38.65	69	70	122.29	1.68	6.76	105	106	657.43	10.09	34.85
31	113	226.76	2.57	11.65	69	73	469.12	7.64	25.19	107	108	105.86	2.00	5.48
32	36	509.79	7.90	27.04	69	74	501.43	8.15	26.85	108	109	281.36	5.29	14.51
33	35	79.12	1.66	5.10	70	71	618.99	8.49	34.27	109	110	278.57	4.19	14.37
33	36	137.06	0.49	1.79	70	72	164.08	1.65	8.65	109	111	863.58	4.70	12.18
33	42	588.63	7.87	32.01	73	74	144.02	2.34	7.73	113	114	38.44	0.44	1.98
34	35	37.33	0.43	1.94	74	76	693.37	11.44	38.06
34	36	183.58	2.09	9.46	74	117	166.87	2.76	9.16