Question

2. In the two-bus system shown in Figure 59, bus l is a slack bus with Vi = 1.0/0° pu. A load of 100 MW and 50 Mvar is taken from bus 2. The line impedance is zi2 0.12 + j0.16 pu on a base of 100 MVA. Using Newton-Raphson method. obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of | ½|(0) = 1 .0 pu and δ2(0) = 0°. Perform two terations. 2 100 MW 20.12+ j0.16 50 Mvar FIGURE 59

Answer 1

Answenr Paje- Griven thert Tue-bus syotem Shoon in belov fne The line is impedance s12io k ptt 2. 50 MVac V1ะเ.olo° e Powen flow equatien with lee an adwitones J-I

The bus d motinis SlniSl-53-5 Substituting SON admihonce3, the exfoen.on rral arl or ะ5|vi] Coj 1'24.s,--s2+4),!ok,IC.eg (-53. l3.) ," S2 The le ld Exiessed in per vmi iS メ loo

Pye3 an ini tial estinate 2 Sch p lo 2- 2. The elements 아 dfieFacobian matar渑~t the initial estimate axe The set f nea eyuationg to het teation become *) obtaining the Sektion of te above maton xeyadioη Voltage at b in the fost itenation

フ) 0;"=.. о./0 paJe-y >ehe Second itein we hve -6.212 5 pu ) computing the elements 어 tte jacobin mafia , The set 아 linewn equ~tiory in the second iteration becomes. O 1156 obtainin the Soletion of the above matorix Cyeation the Second itesation i5 い)