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Prescription: AC500 (AC100) Alternating Current Theory

Aim of Module To introduce students to the basic electrical principles and calculations associated with single phase AC circuits.

Credits 14

Student Learning hours 140

Content Revised pre 1996

Prescription Expiry Date Nov 2005


Level and Assessment Schedule
TopicsHighest
Skill Level
Suggested
Assessment
Percentage
1 Electromagnetic Induction C 10
2 Transformers A 5
3 AC Generation A 5
4 Alternating currents and voltages A 15
5 Single Phase AC circuits C 60
6 Simple unregulated power supply A 5

100


The Student Will

1Electromagnetic Induction
> Understand the physical properties of electromagnetic induction. This will include:
C1.1Relates the laws of electromagnetic induction to motor generator and transformer principles.
C1.2Explains the meter principle in terms of the interaction between a magnetic field and a current carrying conductor.
1.3Explains the basis of the formula F=Bli Newton’s (Force = Flux density times length of the conductor in the magnetic field).
1.4Explains the linear relationship existing between E and the other terms on the basis of the formula E=Blv. (emf generated = magnetic flux times length of the conductor in the field times velocity of the conductor)
1.5Describes the production of an induced e.m.f due to a changing magnetic field.
R1.6States Lenz's Law.
1.7States Faraday's Law of electro magnetic induction.
C1.8Explains the generator principle in terms of Faradays laws and Lenz's law.
R1.9Defines self inductance and states its effects.
1.10States the effect of self and mutual inductance.
C1.11Describes the transformer principle in terms of Lenz's law and the induced volts per turn.
1.12Deduces for a transformer the effect of turns ratio on the voltage ratio.
A1.13Relates the equation E = L di/dt to the equation E = N d>/dt.
R1.14States the unit of inductance.
1.15States the formula representing the energy stored by an inductor.
A1.16Calculate the energy stored in an inductor.
A1.17Demonstrate the ability to test the physical properties of electromagnetic induction.
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2Transformers
> Understands the principles of operation of transformers. This will include:
R2.1States the essential features of construction of power a.f and r.f transformers.
2.2Draws the phasor diagram for an ideal transformer on no-load.
2.3States the physical and electrical conditions that exist for an ideal transformer.
2.4States the equation N2/N1 = V 2/V1 = I1/I2.
2.5States that a transformer can be used to match a source to load.(Maximum Power Transfer Theorem).
2.6Outlines the derivation of the relationship :- R2 = R1 (N2/N1)2 for transformer matching.
2.7States the sources of iron losses in the core and differentiates between them.
C2.8Explains the choice of transformer core materials and construction to minimise core losses.
A2.9Demonstrate an ability to test the operation of transformers.
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3AC Generation
> Understand the principles of rotating machines. This will include:
C3.1Explains the:
a)Convertion of electrical energy into mechanical energy by motors.
b)Convertion of mechanical energy into electrical energy by generators.
R3.2Labels on a given diagram the essential parts of a single phase AC machine.
A3.3Calculates number of poles required for a given machine, given the formula F = Np / 60 Hertz.
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4Alternating currents and voltages
> Understand the concepts of alternating quantities. This will include:
R4.1Describing the concepts of alternating quantities.
4.2Identifies alternating and unidirectional (sinusoidal and non-sinusoidal) waveforms from given sketches.
4.3Defines the terms amplitude, period and frequency, and the values: instantaneous, peak-to peak, r.m.s. and average.
4.4Defines form factor.
A4.5Determines the approximate average and r.m.s. values of given sinusoidal and non-sinusoidal waveforms.
R4.6States the average value, the r.m.s. value and the form factor of a sine wave.
A4.7Relates and calculates the quantities defined in 4.6 from given data.
4.8Uses phasor and algebraic representation of sinusoidal quantities.
R4.9Defines a phasor quantity.
A4.10Determines the resultant of the addition of two sinusoidal voltages by graphical and phasor representation.
4.11Explains the phase-angle relationship between two alternating quantities.
4.12Defines a sinusoidal voltage in the form ( ).
A4.13Determines current from the application of a Sinusoidal voltage to a resistive circuit.
A4.14Interrelates graphical, phasor and algebraic representation in the determination of amplitude, instantaneous value, frequency period and phase of sinusoidal voltage and currents.
4.15Determines power in an a.c. resistive circuit from given data.
4.16Relates the concepts of a.c. theory to an elementary treatment of half-and-full wave rectification.
R4.17Defines the elementary principles of half-and-full wave rectification.
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5Single Phase AC circuits
> Understands the principles of AC circuits. This will include:
R5.1States the relationship between V and I in the following circuits:
-purely resistive
-purely inductive
-purely capacitive
5.2Draws the phasor diagrams and relative voltage and current waveforms relating to 5.1.
5.3Describes inductive reactance and capacitive reactance in terms of impeding the flow of an alternating current.
5.4States inductive reactance as : XL = VL/IL = .
5.5States capacitive reactance as: Xc = Vc/Ic = 1/2 fC = l / C.
A5.6Applies the equation in 5.4 and 5.5 to simple problems.
R5.7Draws phasor diagrams corresponding to L-R and C-R series circuits.
A5.8Determines voltage triangles derived from the phasor diagrams of 5.7.
C5.9Defines impedance (Z = V/I).
A5.10Derives impedance triangles from voltage triangles.
C5.11Shows that Z = R2 + x2 and that Tan = X/R, Sin = X/Z and Cos = R/Z.
A5.12Calculates for single branch L-R series circuits at power and radio frequencies.
R5.13States the formula for power dissipation.
C5.14Shows graphically the average power for sinusoidal currents and voltages for a:
-purely resistive a.c. circuit
-resistive/reactive a.c. circuit
R5.15States the power formula for sinusoidal waveforms.
A5.16Derives the power triangle from the voltage triangle.
R5.17Identifies true power (P) apparent power (S) and reactive volt amperes (Q).
C5.18Defines power factor (true power/apparent power) and shows that where V and I are sinusoidal, power factor = Cos. .
A5.19Applies equation in 5.17 and 5.18 to the solution of single branch L-R series circuits at power and radio frequencies.
C5.20Explains power dissipation in series L-R and C-R a.c. circuits (I2 R).
A5.21Uses phasor diagrams to solve simple series L,C and R a.c. circuits.
C5.22Defines series resonance in terms of the phase relationship between the supply voltage and supply current.
R5.23Sketches a phasor diagram showing that VL = V at series resonance.
C5.24Shows that VL and Vc may be many times supply V.
R5.25States the conditions for series resonance.
C5.26Derives and applies the formula for the series resonance frequency.
5.27Defines Q-factor as the voltage magnification in series circuit.
5.28Explains:
-advantages of high Q-factor in series power circuits
-disadvantages of high Q-factor in series power circuits
A5.29Applies the formula for the parallel resonance frequency.
5.30Explains how the power-factor may be improved using static capacitors.
R5.31Defines the bandwidth.
C5.32Explains the effect of variation of component values upon bandwidth.
R5.33Draws response curves of simple couple tuned circuits.
C5.34Describes the effect of variation of coupling upon response.
5.35Explains the use of resonant circuits to select and amplify signals.
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6Simple unregulated power supply
> Relates the concepts of a.c. theory to an elementary treatment of half- and-full wave rectification. This will include:
R6.1Produces diagrams of simple half wave and full wave rectifiers and explains the circuit operation.
6.2Explains simple RC filters.
6.3States that exceeding PIV will damage the diodes and states PIV for 5.1 circuits.
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Note
50% of the assessment should be in the form of practical work.



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