Determine if the capacitor bank should be switched on or off.
For the two-bus system shown in diagram below, bus 1 is the reference (slack) bus with \(\left|\mathrm{V}_{1}\right|=1.00\) and \(\delta_{1}=0.0^{\circ} .\) At bus \(2,\) the active load is \(4.3 \mathrm{p} . \mathrm{u} .\) and the reactive load is \(-0.63 \mathrm{pu}\) and the line admittance is \(\mathrm{y}_{12}=1\) - \(j 10\) p.u. as shown in the figure. The voltage at bus 2 is to be maintained between 0.95 and 1.05 p.u.
a) Determine if the capacitor bank should be switched on or off. [5 marks]
b) Find the voltage \(\left|\mathrm{V}_{2}\right|\) under the appropriate conditions established in part (a). The susceptance \(\left(B_{c}\right)\) of the capacitor is 0.83 pu. \([10\) marks \(]\)
c) Find the angle \(\delta_{2}\) corresponding to the conditions of part (a). [5 marks]
d) Find the active and reactive power generation and power factor at bus 1 corresponding to
the conditions of part (a) [5 marks]
Homework Answers
3. Figure 3, shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 3. The voltag...
Figure 3, shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 3 . The voltage at bus 1 is \(V_{1}=1.025 \angle 0^{\circ}\) per unit. Voltage magnitude at bus 3 is fixed at \(1.03\) pu with a real power generation of \(300 \mathrm{MW}\). A load consisting of \(400 \mathrm{MW}\) and \(200 \mathrm{Mvar}\) is taken from bus 2. Line impedances are marked in per unit on a 100-MVA base. For the purpose of hand calculations,...
Q3. (30 marks in total) A) Four generator units (two 500MW and two 600MW, as at Liddel Power Stat...
Q3. (30 marks in total) A) Four generator units (two 500MW and two 600MW, as at Liddel Power Station) are connected to the same grid. All generators have 4% droop characteristics. How will they share a sudden load increase by 300MW? By how much (in Hz) will the grid frequency change as the result of this load increase? (15 marks) A big industrial load is connected to a 1.0 pu bus via a feeder. The load has 0.85 power factor...
Question 1: A single line diagram of a three-bus power system is shown in Fig 1....
Question 1: A single line diagram of a three-bus power system is shown in Fig 1. Bus 1 is the slack bus with a voltage of 1.020 per unit, bus 2 is a voltage-controlled bus (PV-bus) with a voltage magnitude of 1.05 pu and real generated power of 1 00 MWand the reactive power in the range Q.(20MVAR) < Q<Q-60M¥AR .BUS 3 is PQ bus with P 300 MW and Q= 200 Mvar. Take 100 MVÅ susceptance are neglected as...
The six-bus system shown in Figure 1 will be simulated using MATLAB. Transmission line data and b...
The six-bus system shown in Figure 1 will be simulated using MATLAB. Transmission line data and bus data are given in Tables 1 and 2 respectively. The transmission line data are calculated on 100 MVA base and 230 (line-to-line) kV base for generator. Tasks: 1. Determine the network admittance matrix Y 2. Find the load flow solution using Gauss-Seidel/Newton Raphson method until first iteration by manual calculation. Use Maltab software to solve power flow problem using Gauss-Seidel method. Find the...
6.28 Consider the simplified electric power system shown in Figure 6.17 for which the power- flow...
6.28 Consider the simplified electric power system shown in Figure 6.17 for which the power- flow solution can be obtained without resorting to iterative techniques. (a) Compute the elements of the bus admittance matrix Ybus. (b) Calculate the phase angle δ, by using the real power equation at bus 2 (voltage-controlled bus). (c) Determine IV and os by using both the real and reactive power equations at bus 3 (load bus). (d) Find the real power generated at bus 1...
5 in the 3-bus power system, what reactive power compensation needs to be provided at bus-3...
5 in the 3-bus power system, what reactive power compensation
needs to be provided at bus-3 to bring its voltage to 1
pu.
To illustrate power flow calculations, an extremely simple power system consisting of three buses is shown in Figure 5.1. These three buses are connected through three 345-kV transmission lines 200 km, 150 km, and 150 km long, as shown in Figure 5.1. Similar to the values listed in Table 4-1 of Chapter 4, assume that these transmission...
Power system matlab code and hand solution
A \(30 \mathrm{KV}, 3\) phase, \(50 \mathrm{HZ}\) synchronous generator has a synchronous reactance of 9 \(\Omega\) phase and an armature resistance of \(2 \Omega\) phase. The generator is delivering 50 MVA at a 0.8 power factor lagging at the rated terminal voltage to an infinite bus.
a) Determine the excitation voltage \(E\) per phase and the power angle.
b) With excitation held constant at the value found in (a), the driving torque is reduced until the generator is delivering \(25...
The positive, negative and zero sequence bus impedance and admittance matrices of a system are given as follows:
The positive, negative and zero sequence bus impedance and admittance matrices of a system are given as follows:\(Z^{+}=Z^{-}=j\left[\begin{array}{ccc}0.14 & 0.11 & 0.125 \\ 0.11 & 0.14 & 0.125 \\ 0.125 & 0.125 & 0.175\end{array}\right] \quad Y^{+}=Y^{-}=j\left[\begin{array}{ccc}-24 & 10 & 10 \\ 10 & -24 & 10 \\ 10 & 10 & -20\end{array}\right]\)\(Z^{0}=j\left[\begin{array}{ccc}0.10 & 0.10 & 0.10 \\ 0.10 & 0.30 & 0.20 \\ 0.10 & 0.20 & 0.30\end{array}\right] \quad Y^{0}=j\left[\begin{array}{ccc}-16.66 & 3.33 & 3.33 \\ 3.33 & -6.66 & 3.33...
please solve the question right and show part1 and part2 in clear way. [5+5 points] Question...
please solve the question right and show part1 and part2 in
clear way.
[5+5 points] Question 1: The Figure shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 2 The voltage at bus 1 is Vi 1.0z0° per unit. Voltage magnitude at bus 2 is fixed at 1.03 pu with a real power generation of 300 MW. A load consisting of 400 MW and 200 Mvar is taken from bus 3. Line admittances...
2) A 480 V, 60 Hz, 400 hp 0.8 PF-lagging eight-pole A-connected synchronous motor has a...
2) A 480 V, 60 Hz, 400 hp 0.8 PF-lagging eight-pole A-connected synchronous motor has a synchronous reactance of 0.6 and negligible armature resistance. Ignore the mechanical and core losses. The magnitude of the internal machine voltage is 480 V when the field current is 4 A. Assume magnetic linearity. Initially, the motor operates at the rated conditions. a) Find the speed of this motor. b) Find the armature and field currents. c) What is the developed torque? What is...
Figure 3, shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 3 . The voltage at bus 1 is \(V_{1}=1.025 \angle 0^{\circ}\) per unit. Voltage magnitude at bus 3 is fixed at \(1.03\) pu with a real power generation of \(300 \mathrm{MW}\). A load consisting of \(400 \mathrm{MW}\) and \(200 \mathrm{Mvar}\) is taken from bus 2. Line impedances are marked in per unit on a 100-MVA base. For the purpose of hand calculations,...
Q3. (30 marks in total) A) Four generator units (two 500MW and two 600MW, as at Liddel Power Station) are connected to the same grid. All generators have 4% droop characteristics. How will they share a sudden load increase by 300MW? By how much (in Hz) will the grid frequency change as the result of this load increase? (15 marks) A big industrial load is connected to a 1.0 pu bus via a feeder. The load has 0.85 power factor...
Question 1: A single line diagram of a three-bus power system is shown in Fig 1. Bus 1 is the slack bus with a voltage of 1.020 per unit, bus 2 is a voltage-controlled bus (PV-bus) with a voltage magnitude of 1.05 pu and real generated power of 1 00 MWand the reactive power in the range Q.(20MVAR) < Q<Q-60M¥AR .BUS 3 is PQ bus with P 300 MW and Q= 200 Mvar. Take 100 MVÅ susceptance are neglected as...
The six-bus system shown in Figure 1 will be simulated using MATLAB. Transmission line data and bus data are given in Tables 1 and 2 respectively. The transmission line data are calculated on 100 MVA base and 230 (line-to-line) kV base for generator. Tasks: 1. Determine the network admittance matrix Y 2. Find the load flow solution using Gauss-Seidel/Newton Raphson method until first iteration by manual calculation. Use Maltab software to solve power flow problem using Gauss-Seidel method. Find the...
6.28 Consider the simplified electric power system shown in Figure 6.17 for which the power- flow solution can be obtained without resorting to iterative techniques. (a) Compute the elements of the bus admittance matrix Ybus. (b) Calculate the phase angle δ, by using the real power equation at bus 2 (voltage-controlled bus). (c) Determine IV and os by using both the real and reactive power equations at bus 3 (load bus). (d) Find the real power generated at bus 1...
5 in the 3-bus power system, what reactive power compensation
needs to be provided at bus-3 to bring its voltage to 1
pu.
To illustrate power flow calculations, an extremely simple power system consisting of three buses is shown in Figure 5.1. These three buses are connected through three 345-kV transmission lines 200 km, 150 km, and 150 km long, as shown in Figure 5.1. Similar to the values listed in Table 4-1 of Chapter 4, assume that these transmission...
please solve the question right and show part1 and part2 in
clear way.
[5+5 points] Question 1: The Figure shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 2 The voltage at bus 1 is Vi 1.0z0° per unit. Voltage magnitude at bus 2 is fixed at 1.03 pu with a real power generation of 300 MW. A load consisting of 400 MW and 200 Mvar is taken from bus 3. Line admittances...
2) A 480 V, 60 Hz, 400 hp 0.8 PF-lagging eight-pole A-connected synchronous motor has a synchronous reactance of 0.6 and negligible armature resistance. Ignore the mechanical and core losses. The magnitude of the internal machine voltage is 480 V when the field current is 4 A. Assume magnetic linearity. Initially, the motor operates at the rated conditions. a) Find the speed of this motor. b) Find the armature and field currents. c) What is the developed torque? What is...
Most questions answered within 3 hours.
-
An entomologist discovers a dung beetle rolling a ball of dung
along the ground, and decides...
asked 1 hour ago -
Humans have used horses for transportation for millions of
years. Therefore, they will use horses for...
asked 3 hours ago -
The following are the Jensen Corporation's unit costs of making
and selling an item at a...
asked 3 hours ago -
Does direct Medicare reimbursement of Advanced practice nurses
increase access to their services?
asked 4 hours ago -
List and explain why a company would choose to use a
published
compensation survey vs. creating...
asked 4 hours ago -
A discrete random variable X can take values from 1 to 10. Find
the variance of...
asked 5 hours ago -
The primary financial goal of a corporation is to maximize:
shareholders wealth.
earnings per share.
stock...
asked 5 hours ago -
determine whether the vectors u=(1,2,3,), v=(-2,1,0) and
w=(1,0,1) are linearly dependent or independent.
asked 5 hours ago -
python
Define a function called print_values which takes a dictionary
object as a parameter. The function...
asked 6 hours ago -
In Chapter 1 you created a program named Triangle in
which you displayed a seven-line triangle...
asked 6 hours ago -
Research question: What are the differences between separately
stated and non separately stated transactions in an...
asked 6 hours ago -
By using Arduino write a code that connects two LEDs to two
push-buttons. Each button controls...
asked 7 hours ago