By the end of this course, you will be able to:

• Distinguish between AC and DC circuits
• Explain why AC currents are used in the transmission of electricity over long distances
• Compute the RMS value of the voltage and current of an alternating voltage supply
• Recall how to change the polar notation of a phasor to its rectangular notation
• Recall how to change the rectangular notation of a phasor to its polar notation
• Identify the application of basic arithmetic operation of phasors in AC circuits
• Solve for the reactance and impedance of an AC circuit
• Analyze an RLC circuit
• Discuss the power flow in AC circuits
• Evaluate the resonant frequency of a capacitor-inductor circuit

By the end of this course, you will be able to:

• Define power and energy
• Summarize how to calculate power consumed by an AC circuit
• Describe phasors and their polar and rectangular forms
• Analyze the impact of inductive and capacitive loads on AC circuits
• Explain the working principles and uses of different energy meters
• Outline the idea of demand metering
• Differentiate between real power, apparent power and reactive power in electrical systems
• Explain single-phase and three-phase power metering
• Compare the two types of instrument transformers and their applications
• State Blondel's theorem

By the end of this course, you will be able to:

• Define trigonometry
• Recall the Pythagorean theorem
• Identify the various types of triangles
• State the triangle proportionality theorem and basic proportionality theorem
• Summarize the unit circle
• Describe how to prove the law of sines and cosines
• Recall how to prove the sum and difference formula
• Solve trigonometric problems using the sum and difference formulas
• Explain negative angle identities using the concept of the unit circle

By the end of this course, you will be able to:

• Distinguish a binary number system from the decimal number system
• Solve the addition, subtraction and multiplication of two binary numbers
• Categorize the different logic gates into basic, universal and special
• Describe both positive and negative AND and OR logic gates
• Identify NAND and NOR gates and also the exclusive XNOR and XOR gates in a circuit diagram
• Recognize the use of 'flip-flops', 'counters' and 'shift registers' in a digital circuit
• List the different adders, half or full-adders found in computers and processors used in the arithmetic logic units

By the end of this course, you will be able to:

• Define functions and limits
• Compare graphically the sin function with its derivative
• Explain the Cartesian coordinates system
• Analyze algebraic and trigonometric functions with the help of the Cartesian coordinate system
• Describe the continuity of a function in calculus
• Explain the concept of derivatives and their purpose
• Compute the values of some algebraic functions
• State the squeeze theorem
• List and analyze various exponential and logarithmic functions and their derivatives

By the end of this course, you will be able to:

• Explain the working principle of a power transformer
• Distinguish between ideal and real transformers
• Explain how the losses in a real transformer can be reduced
• Recall how transformers are constructed
• Discuss the three-phase power transformers
• Recall the vector nomenclature of transformer clock systems
• Summarize the transformer voltage classification and cooling systems
• Discuss how transformers can be protected from damage
• Describe how the Buchholz relay protects a transformer

By the end of this course, you will be able to:

• Outline the elements of a substation
• Explain high-voltage switch configuration and elements of system protection and control
• Describe protection relay schemes, the failure of protective schemes and types of electrical faults
• Analyse electrical devices and basic electrical system structure
• Discuss different types of transformers and how they are configured, connected and cooled
• Analyse the functions of surge protective equipment
• Discuss the operation of different types of fuses
• Describe the operation of different types of circuit breakers, breaker control and auto reclosing
• Discuss instantaneous overcurrent protection and timed overcurrent protection
• Explain differential protection and impedance relaying

By the end of this course, you will be able to:

• Explain Fortescue's theory of symmetrical components
• Distinguish the notation used to represent the phases and sequence components
• Identify an unbalanced and a balanced three-phase power system
• Recall the properties of the positive, negative and zero sequence components
• Describe the properties of the ‘a’ operator and transform the b and c phases sequences into the 'a' phase sequence
• Assess an asymmetrical system by turning the unbalanced phases into the sum of balanced phases or symmetrical components

By the end of this course, you will be able to:

• Describe per-unit and per-phase analysis of power systems
• Outline the normalization process for per unit analysis of a system
• Estimate base values of systems including power, voltage, current and impedance
• Compute line current and load voltage supplied by a generator
• List characteristics of three-phase systems
• Estimate the total apparent power in a system
• Define the turn ratio of a transformer
• Classify transformers on the basis of their configurations
• Compare voltages in different transformer configurations

By the end of this course, you will be able to:

• State what Ohm’s law is
• Outline what the three key components are and how they are related
• Distinguish between conductors and insulators in a DC circuit
• Describe examples of conductors and insulators
• Recall how to calculate the total resistors and capacitors connected either in parallel or series across a DC circuit
• Recall how to use Ohm’s to calculate the current, voltage and resistors across DC circuits
• State Thevenin’s and Norton’s theorem and their usefullness for analysing circuts
• Explain the concept of electricity stored in capacitors and the factors affecting the capacitance of a capacitor
• Discuss the primary applications of capacitors in modern life
• Recall the relationship between magnetism and electricity

By the end of this course, you will be able to:

• Summarize the need for short circuit analysis
• Outline the benefits of short circuit analysis
• List the various types of electrical faults
• Discuss per phase analysis
• Describe per unit analysis
• Explain the normalization process in single-phase and three-phase systems
• Discuss symmetrical components
• Analyze three-phase asymmetrical faults
• Explain how system modelling works with generators, transformers and transmission lines
• Analyze the need for a change of base

By the end of this course, you will be able to:

• Distinguish between the cross product and the dot product of vectors
• Define work, energy and power
• Explain and compute torque acting on a loop of wire rotating in a magnetic field
• Outline the construction and working of DC machines
• Recall the construction and working of AC machines and their main types
• Compute the induced voltage and magnetic flux in a rotating wire loop
• Distinguish between the squirrel-cage rotor and the wound-type rotor
• Compare single-phase motors with three-phase motors
• Describe the configuration and operation of synchronous generator motors
• List the requirements for the parallel operation of AC generators

Upon completion of this course, you should be able to:

• Recall the basic types of distribution in substations and feeders
• Explain per-phase analysis and recall the procedures for carrying out this analysis
• Identify substation components
• Define feeder protection 
• State Kirchhoff's current law
• Discuss the advantages and disadvantages of fuses, circuit switchers and breakers
• Describe the factors affecting transformer protection
• List the types of transformer faults

Having completed this course, you will be able to:

• Define energy, power and work
• Compare electrical and generic energy, power and work
• Discuss power in reactive circuits
• Recall the trigonometric identities
• Analyze real, reactive and average power
• Explain apparent power, the power triangle, power factor and the power factor angle
• Describe complex power and the conjugate phasor
• Estimate power factor correction
• Outline the procedure for per phase analysis in a balanced three-phase system