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lecture1 - Power System Analysis Fundamentals of Power...

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Power Systems I Power System Analysis Fundamentals of Power Systems (EEL 3216) basic models of power apparatus, transformers, synchronous machines, transmission lines simple systems one feeder radial to single load What more is there? large interconnected systems multiple loads; multiple generators why have large interconnected systems? reliability; economics analysis of the large system flow of power and currents; control and stability of the system proper handling of fault conditions; economic operation
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Power Systems I Modern Power Systems Power Producer generation station prime mover & generator step-up transformer Transmission Company HV transmission lines switching stations circuit breakers transformers Distribution Utility distribution substations step-down transformers MV distribution feeders distribution transformers
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Power Systems I Network Layout HV Networks Large quantities of power shipped over great distances Sharing of resources Improved reliability Economics of large scale MV Networks Local distribution of power Numerous systems Economics of simplicity Autonomous operation Loads Industrial & Commercial Residential
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Power Systems I System Control Network Protection Switchgear instrumentation transformers circuit breakers disconnect switches fuses lightning arrestors protective relays Energy Management Systems Energy Control Center computer control SCADA - Supervisory Control And Data Acquisition
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Power Systems I Computer Analysis Practical power systems must be safe reliable economical System Analysis for system planning for system operations requires component modeling types of analysis transmission line performance power flow analysis economic generation scheduling fault and stability studies
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FAMU-FSU College of Engineering Chapter 2 AC Power
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Power Systems I Single-Phase Power Consumption ( ) () ( ) ( ) {} v v m m i v i v i v m m i v m m i m v m t I V t I V t p I I V V t I V t p B A B A B A t t I V ti t v t p t I t V t v θ ω + + + + = = = = + + + = + + = + + = = + = + = 2 sin sin 2 cos 1 cos ) ( 2 2 2 cos cos ) ( cos cos cos cos cos cos ) ( ) ( ) ( cos ) ( cos ) ( 2 1 2 1 2 1 energy flow into the circuit energy borrowed and returned by the circuit i ( t ) v ( t )
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Power Systems I Average Active (Real) Power ( ) { } ( ) () {} ( ) I V P pf I V P dt t dt t dt t t I V dt t p P t I V t I V t p v v v v = = = = = + + + + = = + + + + = θ ω π cos cos 0 sin 0 cos sin 2 sin cos 2 cos 1 ) ( 2 1 sin 2 sin cos 2 cos 1 ) ( 2 0 2 0 2 0 2 0
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Power Systems I Apparent Power () {} v v X v v R v v t S t I V t p t P t I V t p t I V t I V t p I V S I V P θ ω + = + = + + = + + = + + + + = = = 2 sin sin sin 2 sin ) ( 2 cos 1 cos 2 cos 1 ) ( sin 2 sin cos 2 cos 1 ) ( cos
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Power Systems I Reactive Power for a pure resistor the impedance angle is zero, power factor is unity
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lecture1 - Power System Analysis Fundamentals of Power...

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