Random Fuzzy Power Flow Analysis for Power System considering the Uncertainties of Renewable Energy and Load Demands

Table 1

Mean and variance of .

Bus	3PE		3PE-RFS
	Mean	Variance (1e − 3)	Mean	Variance (1e − 3)
1	0.00000	0.0000	(0, 0, 0)	(0, 0, 0)
2	0.99703	0.0730	(0.99702, 0.99703, 0.99704)	(0.0727, 0.0729, 0.0732)
3	0.98294	0.4532	(0.98288, 0.98293, 0.98301)	(0.4514, 0.4525, 0.455)
4	0.97545	0.6336	(0.97537, 0.97544, 0.97556)	(0.6317, 0.6336, 0.6367)
5	0.96806	0.8328	(0.96794, 0.96803, 0.96819)	(0.8303, 0.8322, 0.8374)
6	0.94965	1.3969	(0.94946, 0.94959, 0.94988)	(1.3923, 1.3966, 1.4065)
7	0.94617	1.4700	(0.94596, 0.94611, 0.94641)	(1.4656, 1.47, 1.4795)
8	0.94132	1.5679	(0.9411, 0.94126, 0.94158)	(1.5638, 1.5688, 1.5775)
9	0.93505	1.6837	(0.93481, 0.93504, 0.93534)	(1.6807, 1.6858, 1.6941)
10	0.92924	1.8127	(0.92898, 0.92923, 0.92954)	(1.8108, 1.816, 1.8243)
11	0.92838	1.8336	(0.92811, 0.92835, 0.92868)	(1.8318, 1.837, 1.8454)
12	0.92688	1.8723	(0.92661, 0.92685, 0.92719)	(1.8707, 1.8762, 1.8844)
13	0.92076	2.0520	(0.92047, 0.92073, 0.92111)	(2.0513, 2.0569, 2.0664)
14	0.91850	2.1286	(0.91819, 0.91847, 0.91885)	(2.1283, 2.1334, 2.1442)
15	0.91708	2.1664	(0.91677, 0.91705, 0.91744)	(2.1664, 2.1723, 2.1825)
16	0.91572	2.2072	(0.9154, 0.91569, 0.91608)	(2.2077, 2.2139, 2.2241)
17	0.91369	2.2784	(0.91336, 0.91366, 0.91406)	(2.2795, 2.2853, 2.2969)
18	0.91308	2.3050	(0.91275, 0.91303, 0.91346)	(2.3065, 2.3122, 2.3244)
19	0.99650	0.0820	(0.99649, 0.9965, 0.99652)	(0.0818, 0.082, 0.0823)
20	0.99293	0.2531	(0.99289, 0.99292, 0.99296)	(0.253, 0.2539, 0.2559)
21	0.99222	0.2939	(0.99218, 0.99221, 0.99227)	(0.2932, 0.2942, 0.2968)
22	0.99158	0.3361	(0.99154, 0.99157, 0.99164)	(0.3346, 0.3361, 0.3392)
23	0.97935	0.6307	(0.97926, 0.97933, 0.97945)	(0.6267, 0.6283, 0.6334)
24	0.97268	1.0616	(0.97253, 0.97265, 0.97284)	(1.0522, 1.0565, 1.067)
25	0.96935	1.3116	(0.96917, 0.96931, 0.96955)	(1.2982, 1.3034, 1.3188)
26	0.94772	1.4749	(0.94752, 0.94766, 0.94796)	(1.4698, 1.4745, 1.4854)
27	0.94516	1.5855	(0.94494, 0.94509, 0.94542)	(1.5797, 1.5842, 1.5972)
28	0.93372	2.1603	(0.93342, 0.93366, 0.93406)	(2.1507, 2.1578, 2.1791)
29	0.92550	2.6092	(0.92514, 0.92538, 0.92591)	(2.5968, 2.6049, 2.6333)
30	0.92194	2.8122	(0.92155, 0.92183, 0.92239)	(2.7983, 2.8124, 2.8385)
31	0.91778	2.9545	(0.91737, 0.91766, 0.91825)	(2.9401, 2.9549, 2.9795)
32	0.91686	2.9901	(0.91646, 0.91674, 0.91734)	(2.9754, 2.9885, 3.0147)
33	0.91658	2.9951	(0.91617, 0.91646, 0.91705)	(2.9804, 2.9953, 3.0197)