TAILIEUCHUNG - Lecture Methods of Electric power systems analysis - Lesson 4: Power flow

Lecture Methods of Electric power systems analysis - Lesson 4: Power flow provide students with knowledge about using the Ybus; solving for bus currents; solving for bus voltage; complex power being consumed by the load, and the power being injected by the generators plus their voltage magnitudes; power balance equations; early power flow system size; . | ECEN 615 Methods of Electric Power Systems Analysis Lecture 4 Power Flow Prof. Tom Overbye Dept. of Electrical and Computer Engineering Texas A amp M University overbye@ Announcements Start reading Chapters 1 to 3 from the book mostly background material Homework 1 is assigned today. It is due on Thursday September 3 Public website is https ecen-615-fall-2020 1 Using the Ybus If the voltages are known then we can solve for the current injections Ybus V I If the current injections are known then we can solve for the voltages 1 Ybus I V Zbus I where Z bus is the bus impedance matrix However this requires that Ybus not be singular note it will be singular if there are no shunt connections 2 Solving for Bus Currents For example in previous case assume V j Then 12 12 j16 j 12 j16 12 j j Therefore the power injected at bus 1 is S1 V1I1 j j S2 V2 I 2 j j j 3 Solving for Bus Voltages For example in previous case assume I Then 1 12 12 j16 j 12 j16 12 Therefore the power injected is S1 V1I1 j 5 j S2 V2 I 2 j 4 Power Flow Analysis When analyzing power systems we know neither the complex bus voltages nor the complex current injections Rather we know the complex power being consumed by the load and the power being injected by the generators plus their voltage magnitudes Therefore we can not directly use the Ybus equations but rather must use the power balance equations 5 Power Balance Equations From KCL we know at each bus i in an n bus system the current injection I i must be equal to the current that flows into the network n I i I Gi I Di Iik k 1 Since I Ybus V we also know n I i I Gi I Di YikVk k 1 The network power injection is then Si Vi I i 6 Power Balance Equations cont d n n Si Vi I i Vi YikVk Vi YikVk k 1 k 1 This is an equation

• Điện - Điện tử
• Lecture Methods of Electric Power Systems
• Bài giảng Phương pháp phân tích hệ thống điện
• Methods of electric power systems
• Power flow
• Power balance equations
• Newton Raphson algorithm
• Power systems overview
• Consumes electric energy
• Electric grid time frames
• Inertia power flow
• Black start
• Electric grid visualization
• Synthetic electric grids
• Voltage stability
• High quality synthetic electric grids
• Geomagnetic disturbances
• Electric grid risks
• Electric power dashboard
• Sparse systems
• Advanced power flow
• Sparse vector methods
• Power operations
• Automatic generation control
• Residential distribution transformers
• Synchronous machines generate electricity
• DC power flow
• Gaussian elimination
• Power flow analysis
• Power system analysis tools
• Steady state analysis tool
• Newton Raphson power flow
• Modeling voltage dependent load
• Circulating reactive power
• Coordinated reactive control
• Power flow sensitivities
• Power llow sensitivity analysis
• Post contingency system
• Power transfer distribution factor
• Line outage distribution factor
• Economic dispatch
• Optimal power flow
• Mixed integer programming
• Linear programming (LP)
• OPF problem formulation
• State estimation
• Electric grid measurements
• Potential transformers (PTs)
• Compressed sparse row
• Graph theoretic interpretation
• Power flow topology processing
• Topology processing agorithm
• Substation configurations
• Electricity markets
• Horizontal market power
• Simultaneous auctions
• Pseudo inverse
• Energy management systems
• Matrix singular value decomposition
• Dynamic pricing
• Low frequency events
• Avoidable transmission level
• Least squares
• Nonlinear formulation
• Nutrition problem marginal costs
• Nonlinear cost functions