ELE 4447 - Power System Models and Analysis

This course provides techniques for developing generator, transformer, and transmission line models for steady state analysis. Topics covered include the concepts of complex power, balanced three-phase circuits, transmission line parameters, transmission line performance and compensation, system modeling and per-unit analysis, circuit theory as applied to power systems and load flow analysis, symmetrical components, balanced three-phase faults, unbalanced faults, technical treatment of the general problems of power system stability and its relevance. (prereq: ELE 3401  and MTH 2140  or equivalents) (quarter system prereq: EE 3401 and MA 235 or MA 3502)

• Describe the elements that make up a power system
• Calculate real and reactive power, direction of power flow, conservation of complex power and power factor correction
• Create the per-phase representation of the three-phase systems and perform computations
• Calculate the inductance and capacitance of a transposed transmission line
• Use line models to obtain the transmission line performance
• Determine the series and shunt capacitors and shunt reactors required for line compensation
• Create the basic models of transformers and synchronous generators for the steady-state analysis
• Use computer techniques and algorithms to obtain transmission line parameters, calculate line performance, calculate line compensation and find solutions load flow problems
• Understand simplified models of synchronous machines for fault analysis and transient stability problems
• Calculate the internal voltages of loaded machines under transient conditions
• Calculate and evaluate currents in a network for balanced three-phase faults
• Transform unbalanced phasors to their symmetrical components
• Use symmetrical components for short-circuit analysis of unsymmetrical faults
• Understand the general problem of power system stability

• Linear circuit analysis
• Three-phase circuits
• Basic knowledge of electrical machines and transformers
• Computer programming

• Power in AC circuits, complex power
• Review of three-phase systems
• Simple models of transformers and generators for steady-state analysis
• Per-unit systems and impedance diagrams
• Transmission line parameters
• Transmission line models, performance and compensation
• Network solution and the bus admittance matrix
• Iterative solution of nonlinear algebraic equations
• Load flow solution by the Newton-Raphson method
• Tap changing transformers, real and reactive power control
• Generator modeling
• Direct formation of the bus impedance matrix
• Symmetrical three-phase faults 
• Symmetrical components 
• Unbalanced fault analysis 
• Power system stability