electromagnetic
As an electrical engineer, you are required to construct a bounce diagram for a lossless type of transmission lines as in Figure 3.1 to be operated in a frequency, ??=1 GHz. The transmission line is constructed as two parallel wires (Figure 3.2) with diameter, ??=2?? (unit in mm) and separated from center to center by distance, ?? (unit in mm). The relative permittivity, ???? is 2, and permeability, ??=????. The length, ?? of the lines is 100 m. Given ????=0.5????, ????=2????, and ????=12 ??. In the bounce diagram, show the transient voltage value at the load and generator ends for 0<? <7? 1, where ? 1=??/?? and ??= wave or phase velocity. (10 marks)
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A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is constructed from a solid inner conductor of radius a, a hollow outer conductor of internal radiusb and is filled with a dielectric having relative permittivity & 2b 2a Figure A1-1: Cross section of a coaxial transmission line (a) Draw lines of electric and magnetic flux for a coaxial transmission line. (4 marks) (b) Use Gauss' Law and a relationship between electric field and voltage...
+A A d Gambarajah 3/Figure 3 Question 3 Two very long wires, carrying free charge, of...
+A A d Gambarajah 3/Figure 3 Question 3 Two very long wires, carrying free charge, of equal but opposite charge densities, 2. of +0.4 nC/m, are placed parallel to each other (Figure 3). Each wire has a diameter of 2 mm and they are separated by a distance d, of 1.0 cm. The distance d is measured from the centre point of each wire. You may assume the charge distributions on the wires are the same as if they were...
note that 1) single phase system 2) base values at transmission line circuit A 100 MVA,...
note that
1) single phase system
2) base values at transmission line circuit
A 100 MVA, 12 kV Single-phase generator has a sub transient reactance of 20%. The generator supplies a two synchronous motors over 25-km transmission line having transformers at both ends. The motors, all rated 6.0 kV, 66 MVA and 50 MVA for Mi and M2, respectively. For both motors X" = 15%. The single phase transformer T is rated 150 MVA, 132/12 kV with leakage reactance of...
5. (Telegraph equations) Using basic electrical theory, it can be shown that the current I(r, t)...
5. (Telegraph equations) Using basic electrical theory, it can be shown that the current I(r, t) and voltage V(z, t) in an electrical transmission (eg., a power line or telephone line) at position in the lne andimt obey the equations Math 121 Applied DiffEqns II Homework 1 Due: Febuary 7, 2019 where C is the capacitance per u length, Gis the leakage per unit length, R is the resistance per unit length, and L is the inductance per unit length...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
(POWER SYSTEM ANALYSIS) Load + Load Figure 1. One line diagram of a three bus power...
(POWER SYSTEM ANALYSIS) Load + Load Figure 1. One line diagram of a three bus power transmission system. In Figure 1, the power flows in the transmission lines are to be found. In this system, 100 MVA and 154 kV are the base values. The generator bus, which is shown as Bus 1, is considered to be an infinite bus and the voltage magnitude and the angle are 1 and 0°, respectively. The voltages of Bus 2 and Bus 3...
Question 2 A 60 Hz synchronous generator with Xd 0.2 pu transient reactance is connected to...
Question 2 A 60 Hz synchronous generator with Xd 0.2 pu transient reactance is connected to an infinite us through a transformer and the transmisiones as shown in the Figure. All system reactances are marked on the diagram and are expressed on a common MVA base. The generator dies a power of Auto busbar 1. The magnitude of the generator's excitation voltage e'is 12 pu, and the infinite bus voltage is -1.00u. If a 3-phase fault occurs at the middle...
A synchronous generator is connected to an infinite bus via a transformer and a network of...
A synchronous generator is connected to an infinite bus via a transformer and a network of transmission lines, as illustrated in Figure 1 below. Per unit reactances for all elements are shown to a common system base. The generator is delivering 1.1 per unit real power to the infinite bus, and the infinite bus voltage is regulated to 1.05 per unit. The excitation voltage of the synchronous generator is set to 1.30 per unit. The inertia constant of the generator...
Maxwell's equations can be used to show that electromagnetic waves can propagate through space (a) Describe the key aspects of an electromagnetic wave. Your description should mention the electri...
Maxwell's equations can be used to show that electromagnetic waves can propagate through space (a) Describe the key aspects of an electromagnetic wave. Your description should mention the electric and magnetic fields, direction of propagation, and speed. A diagram would be useful in explaining these concepts (b) At some point in space, a sinusoidal electromagnetic wave has an intensity of 2.5 Wm2 Calculate the amplitudes of the electric field and the magnetic field at this point. Ensure that you include...
Problem 2 Part A Maxwell's equations can be used to show that electromagnetic waves can propagate...
Please help me out with these questions
Problem 2 Part A Maxwell's equations can be used to show that electromagnetic waves can propagate through space. (a) Describe the key aspects of an electromagnetic wave. Your description should mention the electric and magnetic fields, direction of propagation, and speed. A diagram would be useful in explaining these concepts (b) At some point in space, a sinusoidal electromagnetic wave has an intensity of 2.5 Wm-2 Calculate the amplitudes of the electric field...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is constructed from a solid inner conductor of radius a, a hollow outer conductor of internal radiusb and is filled with a dielectric having relative permittivity & 2b 2a Figure A1-1: Cross section of a coaxial transmission line (a) Draw lines of electric and magnetic flux for a coaxial transmission line. (4 marks) (b) Use Gauss' Law and a relationship between electric field and voltage...
+A A d Gambarajah 3/Figure 3 Question 3 Two very long wires, carrying free charge, of equal but opposite charge densities, 2. of +0.4 nC/m, are placed parallel to each other (Figure 3). Each wire has a diameter of 2 mm and they are separated by a distance d, of 1.0 cm. The distance d is measured from the centre point of each wire. You may assume the charge distributions on the wires are the same as if they were...
note that
1) single phase system
2) base values at transmission line circuit
A 100 MVA, 12 kV Single-phase generator has a sub transient reactance of 20%. The generator supplies a two synchronous motors over 25-km transmission line having transformers at both ends. The motors, all rated 6.0 kV, 66 MVA and 50 MVA for Mi and M2, respectively. For both motors X" = 15%. The single phase transformer T is rated 150 MVA, 132/12 kV with leakage reactance of...
5. (Telegraph equations) Using basic electrical theory, it can be shown that the current I(r, t) and voltage V(z, t) in an electrical transmission (eg., a power line or telephone line) at position in the lne andimt obey the equations Math 121 Applied DiffEqns II Homework 1 Due: Febuary 7, 2019 where C is the capacitance per u length, Gis the leakage per unit length, R is the resistance per unit length, and L is the inductance per unit length...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
(POWER SYSTEM ANALYSIS) Load + Load Figure 1. One line diagram of a three bus power transmission system. In Figure 1, the power flows in the transmission lines are to be found. In this system, 100 MVA and 154 kV are the base values. The generator bus, which is shown as Bus 1, is considered to be an infinite bus and the voltage magnitude and the angle are 1 and 0°, respectively. The voltages of Bus 2 and Bus 3...
Question 2 A 60 Hz synchronous generator with Xd 0.2 pu transient reactance is connected to an infinite us through a transformer and the transmisiones as shown in the Figure. All system reactances are marked on the diagram and are expressed on a common MVA base. The generator dies a power of Auto busbar 1. The magnitude of the generator's excitation voltage e'is 12 pu, and the infinite bus voltage is -1.00u. If a 3-phase fault occurs at the middle...
A synchronous generator is connected to an infinite bus via a transformer and a network of transmission lines, as illustrated in Figure 1 below. Per unit reactances for all elements are shown to a common system base. The generator is delivering 1.1 per unit real power to the infinite bus, and the infinite bus voltage is regulated to 1.05 per unit. The excitation voltage of the synchronous generator is set to 1.30 per unit. The inertia constant of the generator...
Maxwell's equations can be used to show that electromagnetic waves can propagate through space (a) Describe the key aspects of an electromagnetic wave. Your description should mention the electric and magnetic fields, direction of propagation, and speed. A diagram would be useful in explaining these concepts (b) At some point in space, a sinusoidal electromagnetic wave has an intensity of 2.5 Wm2 Calculate the amplitudes of the electric field and the magnetic field at this point. Ensure that you include...
Please help me out with these questions
Problem 2 Part A Maxwell's equations can be used to show that electromagnetic waves can propagate through space. (a) Describe the key aspects of an electromagnetic wave. Your description should mention the electric and magnetic fields, direction of propagation, and speed. A diagram would be useful in explaining these concepts (b) At some point in space, a sinusoidal electromagnetic wave has an intensity of 2.5 Wm-2 Calculate the amplitudes of the electric field...
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