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The nine bus test system referred from MATPOWER program. After solving DC load flow for the test system, the simulation model obtained using graph theory. The bus numbers 4, 6, 8 were deleted from the simulation model as these buses were neither connected to generator nor to load. The original nine bus system and its data shown in Figure 2.26. Table 2.4 shows the branch data of IEEE 9 bus system.

Figure 2.25 MAC 24 network diagram.

Table 2.3 MAC 24 network parameters.

From	To	R (pu)	B (pu)	B/2 (pu)
BUS15	BUS14	0.00430	0.04770	0.63700
BUS7	BUS11	0.02444	0.12226	0.10272
BUS12	BUS13	0.01321	0.06608	0.05552
BUS13	BUS11	0.00314	0.01570	0.05275
BUS13	BUS16	0.00578	0.02891	0.02429
BUS16	BUS11	0.00247	0.01239	0.04164
BUS16	BUS17	0.00248	0.01239	0.01041
BUS5	BUS6	0.00450	0.02251	0.30260
BUS6	BUS7	0.03716	0.18586	0.15616
BUS6	BUS13	0.05169	0.25856	0.21723
BUS6	BUS16	0.01530	0.07655	0.57882
BUS6	BUS8	0.01239	0.06195	0.20822
BUS8	BUS9	0.00363	0.01817	0.06107
BUS8	BUS10	0.00330	0.01652	0.05552
BUS18	BUS19	0.00537	0.02685	0.09022
BUS19	BUS5	0.01263	0.06319	0.21237
BUS19	BUS20	0.01131	0.05658	0.19016
BUS20	BUS24	0.01982	0.09913	0.08328
BUS24	BUS5	0.02494	0.12473	0.10480
BUS22	BUS23	0.03633	0.18173	0.15269
BUS22	BUS20	0.01734	0.08674	0.29149
BUS22	BUS21	0.00330	0.01652	0.01388

Figure 2.26 IEEE 9 bus test system.

Table 2.4 IEEE 9 bus test system branch data.

fBus	tBus	r	x	B	z
1	4	0	0.0576	0	0.0576
4	5	0.017	0.092	0.158	0.0935
5	6	0.039	0.17	0.358	0.17
3	6	0	0.0586	0	0.0586
6	7	0.0119	0.1008	0.209	0.1015
7	8	0.0085	0.072	0.149	0.0725
8	2	0	0.0625	0.25	0.0625
8	9	0.032	0.161	0.306	0.1641
9	4	0.01	0.085	0.176	0.0855