Aims
Knowledge and Understanding
Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:
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Three phase systems for power systems
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Transmission line theory for both high and low frequency applications
Transferable and Generic
Having successfully completed this module, you will be able to:
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Gain experience of analytical and numerical modelling at appropriate detail for application.
Subject Specific Practical
Having successfully completed this module, you will be able to:
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Gain practical experience of three phase systems
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Gain practical experience of transmission lines
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).
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. 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.
Electromagentic 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. Stepped transmission lines. Impact of transposition. Application of sequence networks.
Examples: Coaxial cable, stripline, microstrip; balanced lines: twisted pairs, star quad and waveguides.
Assessment methods
Method | Hours | Percentage contribution |
Labs on 3 phase, transmission lines and fibre amplifiers | - | 15% |
Numerical and analytical project on co-axial cable transmission line | - | 20% |
Exam | 2 hours | 65% |
Referral Method: By examination