ELEC2229 Power Circuits and Transmission
Module Overview
Aims and Objectives
Module Aims
The module aims to provide a detailed understanding of more advanced topics in circuit theory, in particular developing a good understanding of the fundamental theory of power, three phase circuits and transmission lines for both high and low frequency applications.
Learning Outcomes
Knowledge and Understanding
Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:
- Three phase systems for power systems
- Transmission line theory for both high and low frequency applications
- Network topology and introductory state-space models for circuits
Transferable and Generic Skills
Having successfully completed this module you will be able to:
- Gain experience of analytical and numerical modelling at appropriate detail for application
Subject Specific Practical Skills
Having successfully completed this module you will be able to:
- Gain practical experience of three phase systems
- Gain practical experience of transmission lines
Syllabus
- Network Topology: Definitions: trees, links, loops, cuts etc., conversion of circuits to branches and loops, etc., and the possible variations for any given circuit; expansion of Kirchhoffs laws in cuts and loops; formation of current branch matrices and the relationships I = C.i and V = A.B; determination of admittance and impedance matrices; methods of solutions (including revision of matrix algebra). - State-space circuit models: Examples of derivation; solution of state equations by Laplace transform methods; solution of simple circuit network problems. Sinusoidal steady-state from the state-space point of view. - Three-phase: Unbalanced mesh and four-wire star circuits; unbalanced three-wire star circuits; solution by Millman's theorem, star-delta transform and graphical methods; symmetrical components and use in solving unbalanced systems; positive, negative and zero sequence networks; use of two wattmeter method on balanced and unbalanced systems for kW and kVAr measurement. - Two Port Networks: ABCD parameters; Simple transmission networks: series impedance, shunt admittance, half T and half Pi network, T and Pi networks, ideal and actual transformer, pure mutual inductance; ABCD relation for a passive network; Output in terms of input; Evaluation of ABCD parameters from short circuit and open circuit tests; ABCD parameters for symmetrical lattice; Networks in parallel; The loaded two port network; image impedances and matching a resistive load to a generator; Image impedance in terms of Zsc and Zoc; Insertion loss ratio; Propagation coefficient; Per-unit system. - Transmission line theory as applied to power transmission and communications: Definition of short, medium and long lines and their simulation with discrete elements; solution of T and Pi networks, with appropriate phasor diagrams, ABCD constants. Lossy and lossless line models. Telegraphist's equations, relation to the wave equation. Voltage standing waves on a lossless line; Standing waves of current on a lossless line. Voltage surges; Reflection coefficient; Pulses on transmission lines, signal transfer. Impedance, Admittance and Smith Chart. Stub matching and stub filters; Voltage surges; Reflection coefficient; Pulses on transmission lines, signal transfer. Distortion free conditions. Special cases: quarter and half wave length lines, matched impedances, short and open terminations. - Electromagnetic background. Field analysis of transmission lines; Telegraphers Equation derived from Field Analysis for the coaxial line. - Rigorous solution for uniformly distributed constants (in both the time and frequency domains); reflected and incident values, propagation constant, attenuation and phase constants, surge/characteristic impedance; algebraic and hyperbolic equations with ABCD comparison of the latter with Pi networks. Examples: Coaxial cable, stripline, microstrip; balanced lines: twisted pairs.
Learning and Teaching
| Type | Hours |
|---|---|
| Preparation for scheduled sessions | 18 |
| Tutorial | 12 |
| Revision | 10 |
| Completion of assessment task | 15 |
| Lecture | 36 |
| Follow-up work | 18 |
| Wider reading or practice | 41 |
| Total study time | 150 |
Resources & Reading list
Pozar (2012). Microwave Engineering, 4th edition.
Dorf and Svoboda (2006). Electric Circuits.
Morton (1996). Advanced Electrical Engineering.
Assessment
Summative
| Method | Percentage contribution |
|---|---|
| Examination | 65% |
| Laboratory | 15% |
| Numerical and analytical project | 20% |
Referral
| Method | Percentage contribution |
|---|---|
| Exam | 100% |
Repeat Information
Repeat type: Internal & External