ProblemSet6

ProblemSet6 - connected to bus D is equal to 5 MW at a pf...

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1 Problem Set #6 Power-flow solutions, Gauss-Seidel Method, and Newton-Raphson Method 6-1 (Keyhani Lecture) Using Gauss elimination and back substitution, solve = 3 2 1 14 2 5 2 12 4 0 3 10 3 2 1 x x x 6-2 (Keyhani Lecture) Use Newton-Raphson to find one solution to the polynomial equation f ( x )= y , where y =0 and f ( x )=3 x 3 +4 x 2 +5 x +6. Start with x (0)=1.0 and continue until ε < ) 1 ( ) 1 ( ) ( i x i x i x ( 6 . 1 ) is satisfied, where =0.001. 6-3 (Keyhani Lecture) Use Newton-Raphson to find a solution to = + 5 . 0 2 . 1 ) cos( 2 1 2 1 x x e x x where x 1 and x 2 are in radians. a) Start with x 1 (0)=1.0 and x 2 (0)=0.5 and continue until Equation (6.1) is satisfied with =0.005. b) Show that Newton-Raphson diverges for the example if x 1 (0)=1.0 and x 2 (0)=2.0. 6-4 (Grainger and Stevenson, Jr. Chapter 8, Prob 8.10)
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2 6-5 (Keyhani Lecture) Consider the power system given below: 1) Assume the generator voltage is set at 10% above its rated value, and the load
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Unformatted text preview: connected to bus D is equal to 5 MW at a pf of 0.9 lagging. Compute the per-unit model for the above system. 2) Compute the load voltage (Bus D). 3) Compute the active and reactive power supplied by Bus A. 4) Compute the active and reactive losses. 3 6-6 (Keyhani Lecture) Given: Bus 1 is slack bus: V=1 Scheduled power at Bus 2 is 1.2 p.u. Scheduled load at Bus 3 is 1.5 p.u. Compute: 1) Y BUS model 2) Bus voltages using Gauss-Seidel Method 3) Power mismatch at Bus 2 and 3 4) Power supplied by the swing bus 5) Power loss of transmission lines 6-7 (Grainger and Stevenson, Jr. Chapter 9, Prob 9.1) 4 6-8 (Keyhani Lecture) Use Newton-Raphson Method to compute the bus voltages and power mismatches at Bus 1, 2, and 3 in Problem 6-6....
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ProblemSet6 - connected to bus D is equal to 5 MW at a pf...

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