Smart Grid
A 5 MW induction generator of a hydro scheme is connected to the distribution system as
shown in Figure. When the induction generator generates 5 MW, it absorbs 2.5 Mvar of
reactive power. Per-unit values are given on a 10 MVA basis.
a- Write an expression for the voltage at the point of connection, VS, in terms of active
power generated, P, net reactive power absorbed, Q, and generator terminal
voltage, VG.
b- When the reactive power generation of the D-STATCOM is QC, it was found that the
voltage at the point of connection is 1.0013∠2.9° pu and the terminal voltage of the
generator is 1∠0° pu. Calculate the value of QC.
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12. For a three-phase balanced system, a generator serves a remote load through two parallel tran...
12. For a three-phase balanced system, a generator serves a remote load through two parallel transmission lines with 4 transformers. The system parameters are as follows: Generator: T1: (A-Y, with Y side voltage leading) T2: (A-Y, with Y side voltage leading) T3: (A-Y, with Y side voltage leading) T4: (A-Y, with Y side voltage leading) Line-1 Line-2 Load 100MVA, 21kV, x-0.15pu 120MVA, 20Д/165Y kV, x-O.12pu 80MVA, 20A/1 10Y kV, x-O.1pu 120MVA, 165A/33Y kV, x-0.12pu 80MVA, 11ОД/33Y kV, x-O.1pu 30+j100 O...
A 3-phase, 60-Hz, synchronous generator has the following data
A 3 -phase, \(60-\mathrm{H} 2\), synchronous generator has the following data:Rated MVA \(=22.8 \mathrm{MVA}\)Rated voltage \(=13.8 \mathrm{kV}\)\(X_{d}=1.8\) pu on rated MVA and rated voltage base \(X_{d}^{\prime}=0.3\) pu on rated MVA and rated voltage base CT ratio \(=1200 \mathrm{~A}: 5 \mathrm{~A}\)PT ratio \(=14.4 \mathrm{kV}: 120 \mathrm{~V}\)a) Explain why it is important to have synchronous generator under-exciation or loss of excitation protection. [5 marks]b) Design a loss of excitation relay for this generator based on the standard single mho circle design, and...
thanks for the help Course ID: 103891. ELEC ENG 706, June 2017 Page 16 of 21...
thanks for the help
Course ID: 103891. ELEC ENG 706, June 2017 Page 16 of 21 Question 5. [ 20 marks ] 5a) Power Systems analysis [ 7 marks The single-line diagram below represents a generator driving a load over a long transmission line with a synchronous compensator connected to the receiving end. The transmission line can be modelled as shown with an inductive reactance X - 0,4 pu and two capacitive reactances Xc-3 pu on a base of 1000...
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...
4.4 Voltage regulating transformer. Consider the following circuit in which the generator real and reactive power...
4.4 Voltage regulating transformer. Consider the following circuit in which the generator real and reactive power output is 100.0 MW and -50 MVAr respec- tively: the generator voltage is 1.02 pu; the transformer impedance is Zt = 0.01 + 0.15 pu on a base of 180 MVA; and the transformer off-nominal tap setting is t-1.05 pu. Calculate the voltage magnitude at the network terminals. til P+jQ ZE Network Figure 3: Problem 4.4 - Circuit calculation with transformer off-nominal taps. 4.5...
Problem #1 Part I (50 points) Consider the following one-line diagram of a three-phase power system. Assume that the system has the following base quantities: S3 100 MVA, and VbaselL 38 kV at the...
Problem #1 Part I (50 points) Consider the following one-line diagram of a three-phase power system. Assume that the system has the following base quantities: S3 100 MVA, and VbaselL 38 kV at the generator side. The rated line-to-line terminal voltage of the generator (BUS 1) is 38 kV. A single-circuit three-phase transposed overhead line composed by one ACSR Partridge conductor per phase with vertical configuration. The transmission line length is 50 km and the distance between phases a-b, b-c...
24. Synchronous motor delivers reactive power when: a. The terminal voltage leads the induced voltage in...
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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.
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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,...
A three-phase synchronous generator with rated data VM = 20 kV, SM = 100 MVA, n...
A three-phase synchronous generator with rated data VM = 20 kV, SM = 100 MVA, n = 500 rpm is driven by a turbine that can provide a maximum of 1.6 MNm. Synchronous reactance, XS = 3Ω / phase. The armature resistance (Ra ) is neglected. In open circuit mode (P = 0), an excitation current of 300 A is required to obtain rated voltage (VM ). The machine should be phased into a strong grid, 3x20 kV, 50 Hz....
12. For a three-phase balanced system, a generator serves a remote load through two parallel transmission lines with 4 transformers. The system parameters are as follows: Generator: T1: (A-Y, with Y side voltage leading) T2: (A-Y, with Y side voltage leading) T3: (A-Y, with Y side voltage leading) T4: (A-Y, with Y side voltage leading) Line-1 Line-2 Load 100MVA, 21kV, x-0.15pu 120MVA, 20Д/165Y kV, x-O.12pu 80MVA, 20A/1 10Y kV, x-O.1pu 120MVA, 165A/33Y kV, x-0.12pu 80MVA, 11ОД/33Y kV, x-O.1pu 30+j100 O...
thanks for the help
Course ID: 103891. ELEC ENG 706, June 2017 Page 16 of 21 Question 5. [ 20 marks ] 5a) Power Systems analysis [ 7 marks The single-line diagram below represents a generator driving a load over a long transmission line with a synchronous compensator connected to the receiving end. The transmission line can be modelled as shown with an inductive reactance X - 0,4 pu and two capacitive reactances Xc-3 pu on a base of 1000...
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...
4.4 Voltage regulating transformer. Consider the following circuit in which the generator real and reactive power output is 100.0 MW and -50 MVAr respec- tively: the generator voltage is 1.02 pu; the transformer impedance is Zt = 0.01 + 0.15 pu on a base of 180 MVA; and the transformer off-nominal tap setting is t-1.05 pu. Calculate the voltage magnitude at the network terminals. til P+jQ ZE Network Figure 3: Problem 4.4 - Circuit calculation with transformer off-nominal taps. 4.5...
Problem #1 Part I (50 points) Consider the following one-line diagram of a three-phase power system. Assume that the system has the following base quantities: S3 100 MVA, and VbaselL 38 kV at the generator side. The rated line-to-line terminal voltage of the generator (BUS 1) is 38 kV. A single-circuit three-phase transposed overhead line composed by one ACSR Partridge conductor per phase with vertical configuration. The transmission line length is 50 km and the distance between phases a-b, b-c...
24. Synchronous motor delivers reactive power when: a. The terminal voltage leads the induced voltage in armature windings b. The terminal voltage lags the induced voltage in armature windings c. Synchronous motor is an inductive load; it absorbs reactive power. Capacitors deliver reactive power d. The terminal voltage is less than the induced voltage in armature windings e. None of the above. 25. In a synchronous machine, if magnetic field of the rotor lags the stator field by a mechanical...
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,...
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