Chapter 6, Problem 6.68P

Q6/ The per-unit reactance for a given system are shown in figure below. (1 MVA) is being delivered to the receiving end bus of the system at unity power factor and unit voltage. A three phase short circuit occurs at F. Find the critical clearing angle and the critical clearing time? Take H = 3 p. u. second tc X=j0.3 j0.1 w Peralat j0.25 j0.25 V20 x 1

For the system in Figure 4 with given generation and load dispatch determine the voltages after two itterations of Gauss-Seidel method. Assume the initial voltage to be 1.01 at angle of 0◦ pu at bus 1, 1.015 at angle of 0◦ pu at bus 2, and 1.0 at angle of 0◦ pu at bus 3. All line impedances are in per unit on a common base, and charging is neglected. Take base power of 100 MVA.

the amount of real and reactive power that flow between any two buses is determine by the relative difference in voltage magnitude and angle. derive an equation that clearly show this dependency and give a brief analysis of the nature of the relationship.

A synchronous generator is connected to an infinite bus by a transmission line as shown in the figure. The field current IF = 900A when the unloaded generator is synchronized to the infinite bus. a.) P_M is increased to 0.5pu while I_F is held constant at 900A. Find the complex power S_Inf supplied to the infinite bus in per unit. b.) Determine S_Inf in per unit if IF increases to 1600A and PM is held fixed at 0.5pu.

6.5 Consider the three-bus power system shown in Figure P6.5 The table below shows the data about the generators connected to this system. Calculate the unconstrained economic dispatch and the nodal prices for the loading conditions shown in Figure P6.5. 6.5 PROBLEMS 203 B 400 MW 80 MW 40 MW C D Figure P6.5 Three-bus power system for Problems 6.5 to 6.9 and 6.12 to 6.17 Сараcity (MW) Marginal cost ($/MWh) Generator A 150 12 В 200 15 C 150 10 D 400 8 2.

What is The amount of compensation to keep VR constant in power transmission line performance study?

Q2. Figure Q2 shows the single-line diagram. The scheduled loads at buses 2 and 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base and the line charging susceptances are neglected. a) Using Gauss-Seidel Method, determine the phasor values of the voltage at load bus 2 and 3 according to second iteration results. b) Find slack bus real and reactive power according to second iteration results. c) Determine line flows and line losses according to second iteration results. d) Construct a power flow according to second iteration results. Slack Bus = 1.04.20° 0.025+j0.045 0.015+j0.035 0.012+j0,03 3 |2 134.8 MW 251.9 MW 42.5 MVAR 108.6 MVAR

Description The single line diagram of figure below shows a generator connected through parallel transmission line to a large metropolitan system considered as an infinite bus. The machine is delivering 1.0 per-unit power and both the terminal voltage and the infinite-bus voltage are 1.0 per unit. Numbers of the diagram indicate the values of the reactances on a common system base. The transient reactance of the generator is 0.2x per unit as indicated. Determine the power-angle equation for the given system operating conditions. When a three-phase fault occurs at point P, and the fault on the system is cleared by simultaneous opening of the circuit breakers at each end of the affected line, determine the power angle equation and the swing equation for the during fault and post-fault period. Take H= 5.5Q Mj/MVA. (Roll=PQXY) j0.5, j0.1y O X = 0.2X P j0. 5,

How do we handle a PV bus in the Gauss Seidel Method? What will happen to the bus voltage if the reactive power at a PV bus exceeds the upper bound? And why?