Question

Gauss-Seidel method is used for solving simultaneous equations in load flow studies. Determine Vi and V2 by solving the following two equations. Use Gauss-Seidel method and stop after the Sth iteration if you think the solution is leading to convergence. Take the initial values as Vi- V2-0. 3V1-2V,-1.5

Answer 1

tiven Co) Initial value 2. ilesation 2-02 Ci) 6-1.S 4 2.2 S 2. 2. g 2-2 25 ax ge V, = 2-2.25

Volv LƠI Vl(2) in eqUah, n®.wege 3 (-D 25) -1.S-112.5 C2) 2-2.S 2 (22 D n f3) 2-(-1-125) : 3 125 v'". 3(3.125 5、2-9375 2. y'"- 3-125 v'". 31375 , y"-2-31325 -1.9375 and 1137s) 1.52. 6S 25 2 2 2.65 62 S

r s) t 5) 2. So VS.6$625 es) V7.3 4315 CS vina equahon ( 4 @ on Selviną V: 2-1 2

So, the valnes o not Con ven Со) Co 7 2. V'') : 2.25 (1)-o 2S y"): 1.125 V13): V1 (": 3,125 3,9375 ノ ( 12 2 5