Consider the single generator connected to the infinite bus system discussed in class. Assume P„=0.8,H=5, K p=5,x'q=0.25,x=0.25, E '=2.0 Write out the dynamic equations for the system. Solve for the equilibrium points. Linearize the system at each equilibrium point and 1. Compute the eigenvalues 2. classify whether each equilibrium is small signal stable or unstable.
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- What are static error coefficients? how will you calculate the steady state error using static error coefficients? (Write equations also, about kp, Kv, Ka) subject: control systemA power plant comprises three turbine-generators rated 1000 MW, 800 MW and 600 MW respectively. The regulation constant of each generator is 0.05 pu based on its own rating. Each unit is initially operating at one-half of its own rating, when the system load suddenly increases by 250 MW. Calculate the following:a) Per-unit area frequency response characteristic on a 1000 MW system base [CR9]b) Steady-state drop in area frequency [CR4]c) The share of the load increase on each generator [CR9]d) Total load on each generator after the increase in system load [CR3]Assume the reference power setting of each turbine is unchanged.A 2-pole, 50 Hz, 11 kV synchronous generator with a rating of 120 MW and 0.87 lagging power factor has a moment of inertia of 12,000 kg- . Calculate the constants H and M A 4-pole synchronous generator supplies over a short line a load of 60 MW to a load bus. If the maximum steady state capacity of the transmission line is 110 MW, determine the maximum sudden increase in the load that can be tolerated by the system without losing stability
- Suppose a power system consists of two isolated regions: a western region and an eastern region. Five units have been committed to supply 3090 MW as shown below. The two systems are separated by a transmission line that can handle a maximum transfer of 550 MW in either direction. If losses are ignored, calculate the spinning reserve for the overall system and for each region. Comment on the adequacy of the spinning reserve of the overall system, and for each region. (consider the effect on the power supply in each of the regions if the various generators fail). Repeat the above calculations and analysis if an average of 8% of the output of the generators is lost in the transmission and distribution system before reaching the load.A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the 1/per-unit impedance of the load 2/per-unit current in the line 3/ per-unit real power absorbed by the loadNote: Answer the question by Poles and Zeros of the System "Function H(z)" & Comments on System Causality and Stability. Also, please explain the answer with the drawing.
- A power plant comprises three turbine-generators rated 1000 MW, 800 MW and 500 MW respectively. The regulation constant of each generator is 0.05 pu based on its own rating. Each unit is initially operating at one-half of its own rating, when the system load suddenly increases by 300 MW. Calculate the following:a) Per-unit area frequency response characteristic on a 1000 MW system base.b) Steady-state drop in area frequency [CR4]c) The share of the load increase on each generator.d) Total load on each generator after the increase in system load.Assume the reference power setting of each turbine is unchanged.If the load disturbances in flow control systems are rapid and enough to cause the system to oscillate, a derivative control may be added to provide immediate response. a. True b. FalseA 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.
- A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the per-unit impedance of the load. Calculate the per- unit current in the line Select one: a. 1.43 A b. 0.569 A c. None of the above d. 2.01Solve numerical : Following figure shows the one-line diagram of a two bus system. Take bus 1 as slack bus, bus 2 as load (PQ) bus. Neglect the shunt charging admittance. Obtain the bus admittance matrixYBUS and find V2 and δ2, power flows and line losses by using Fast decoupled power flow method. All the values are given in per unit on 100MVA base. Use a tolerance of 0.001 for power mismatch.2) A three-phase, 60 Hz synchronous generator in Fig. 1 delivers 0.9 per-unit real power at 1.08 perunit terminal voltage to an infinite bus with voltage of 1.0 pu. The reactance data for the powersystem is given in per unit on a common base and shown in Fig. 1. Determine:a) the reactive power output at the terminal of the generator and reactive power delivered tothe infinite bus;b) the generator internal voltage (E′);c) determine and plot an equation for electrical power delivered by the generator to the infinitebus versus angle δ.Note: E′ is internal voltage behind transient reactance x′d