引入加权系数的交直流混合微电网潮流计算

doi:10.16180/j.cnki.issn1007-7820.2019.04.020

摘要/Abstract

摘要：

在下垂控制的交直流混合微电网潮流计算过程中,存在雅可比矩阵对角线元素为零值而无法求解的情况。针对上述现象,文中提出引入加权系数的改进潮流计算算法,对F(k)和F(k+1)引入加权系数,构造误差平方和函数以求解最佳权重值,通过第k+1次迭代与第k次迭代之间的关系求出第k+1次迭代的解,重复上述过程直至结果收敛。通过IEEE30节点算例证明了改进算法的正确性和有效性,并将其用于下垂控制的交直流混合微电网潮流计算。

关键词: 下垂控制, 交直流混合微电网, 雅可比矩阵, 加权系数, 误差平方和函数, 潮流计算

Abstract:

In the power flow calculation of AC/DC hybrid micro grid under droop control, the diagonal elements of the Jacobi matrix are zero and the matrix cannot be solved. In response to these phenomena, an improved power flow calculation algorithm with weighting coefficient was proposed. The weighting coefficient which could be solved by constructing error sum of squares is applied on F(k) and F(k+1). The solution of iteration k+1 was obtained according to the relation between iteration k+1 and iteration (k). The process above was stopped until the result converges. The proposed algorithm was proved to be correct and effective by using the example of IEEE30 node, and it was applied on the power flow calculation of AC/DC hybrid micro grid under droop control.

Key words: droop control, AC/DC hybrid micro grid, Jacobi matrix, weighting coefficient, error sum of squares, power flow

中图分类号:

TP301

易茗,王仕龙,范雨萌. 引入加权系数的交直流混合微电网潮流计算[J]. 电子科技, 2019, 32(4): 90-95.

YI Ming,WANG Shilong,FAN Yumeng. Power Flow Calculation of AC/DC Hybrid Micro Grid with Weighting Coefficient[J]. Electronic Science and Technology, 2019, 32(4): 90-95.

图/表 9

图1

表1

DC-DC变换器的稳态参数"

名称	M(D)	R_g/Ω	U_g/V
Buck-Boost变换器	- $D (1 - D)$	$D R S + R L + (1 - D) R D (1 - D) 2$	U_D
全桥变换器	2nD	2n²DR_T₁+R_L+DR_T₂+ $R T 2 2$ +2DR_D+R_D	2U_D+4nDU_Q

表1

图2

图3

表2

图4

表3

表4

表5

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节点	牛拉法节点电压/pu	改进牛拉法节点电压/pu	加权牛拉法节点电压/pu
1	1.0	1.0	1.0
2	0.999 8+j0.019 6	0.999 8+j0.019 6	0.999 9+j0.019 7
3	0.983 5-j0.007 3	0.983 5-j0.007 3	0.983 4-j0.007 4
4	0.980 4-j0.008 0	0.980 3-j0.008 0	0.980 4-j0.007 9
5	0.9824-j0.006 3	0.9824-j0.006 2	0.9824-j0.006 3
6	0.973 4-j0.014 0	j0.973 4-j0.014 0	0.973 5-j0.013 9
7	0.967 3-j0.020 1	0.967 4-j0.020 0	0.967 3-j0.020 0
8	0.960 7-j0.021 4	0.960 7-j0.021 4	0.960 7-j0.021 4
9	0.980 0-j0.023 3	0.980 0-j0.023 3	0.980 1-j0.023 2
10	0.983 5-j0.028 2	0.983 4-j0.028 3	0.983 5-j0.028 2
11	0.980 0-j0.023 3	0.980 0-j0.023 3	0.980 0-j0.023 3
12	0.984 5+j0.004 3	0.984 4+j0.004 3	0.984 5+j0.004 4
13	0.998 4+j0.057 0	0.998 3+j0.057 0	0.998 4+j0.057 0
14	0.975 5-j0.006 9	0.975 4-j0.007 0	0.975 5-j0.006 8
15	0.979 7-j0.005 0	0.979 7-j0.005 0	0.979 7-j0.004 9
16	0.976 5-j0.015 0	0.976 5-j0.015 0	0.976 5-j0.015 0
17	0.975 9-j0.028 1	0.976 0-j0.028 0	0.975 8-j0.028 2
18	0.967 5-j0.026 3	0.967 4-j0.026 4	0.967 5-j0.026 3
19	0.964 0-j0.035 3	0.964 1-j0.035 3	0.964 0-j0.035 4
20	0.968 0-j0.034 5	0.968 0-j0.034 6	0.968 0-j0.034 5
21	0.992 8-j0.029 7	0.992 9-j0.029 6	0.992 9-j0.029 6
22	0.999 6-j0.028 0	0.999 7-j0.027 9	0.999 7-j0.027 9
23	0.999 9+j0.016 8	0.999 8+j0.016 7	0.999 9+j0.016 8
24	0.988 8-j0.010 3	0.988 7-j0.010 3	0.988 9-j0.010 2
25	0.990 3+j0.002 2	0.990 3+j0.002 2	0.990 3+j0.002 2
26	0.972 3-j0.005 5	0.972 3-j0.005 4	0.972 3-j0.005 5
27	0.999 9+j0.014 9	0.999 9+j0.014 8	1.000 0+j0.015 0
28	0.975 0-j0.013 6	0.975 0-j0.013 5	0.975 0-j0.013 5
29	0.979 6-j0.007 7	0.979 6-j0.007 7	0.979 5-j0.007 8
30	0.967 6-j0.023 0	0.967 7-j0.022 9	0.967 5-j0.023 0

首端节点	末端节点	支路阻抗/Ω
1	2	0.582 4+j4.800 0
2	3	0.161 0+j0.037 4
2	4	0.032 2+j0.007 5
3	4	0.016 1+j0.003 7
4	5	0.003 0+j3.211 6

节点	节点电压/pu		节点	节点电压/pu
节点	算法	DigSilent	节点	算法	DigSilent
1	1.001 5	1.001 4	8	0.999 8	1.000 2
2	1.001 2	1.001 3	9	1.001 0	1.001 0
3	1.001 6	1.001 6	10	1.000 4	1.000 4
4	0.999 4	0.999 4	11	1.000 8	1.000 6
5	1.000 6	1.000 6	12	1.000 9	1.001 3
6	1.000 2	1.000 4	13	1.000 8	1.000 7
7	1.000 4	1.000 4