Jasmin Smajic1, Christian Franck2, February 20, 2014 Introduction to Multiphysics Simulations for Power Systems 1 Institute of Energy Technology (IET) HSR - University of Applied Sciences of Eastern Switzerland Oberseestrasse 10, Rapperswil, Switzerland [email protected] 2 Swiss Federal Institute of Technology (ETH) High Voltage Laboratory Physikstrasse 3, CH-8092 Zürich, Switzerland [email protected] Initial Information Detailed plan of lectures and exercises Documents repository: http://homepage.hispeed.ch/Jasmin/multiphysics_simulations.htm Contents Introduction to field simulations Mathematical model Model discretization Numerical solution Real life simulation examples Coupled transient electro-mechanical analysis of generator circuit breakers Coupled transient electromagnetic-thermal analysis of generator circuit breakers Coupled electromagnetic-thermal analysis of power transformers Introduction to Field Simulations Mathematical Model Source Mathematical model Model parameters Partial Differential Equation (PDE): Df (= x ) 0, x ∈ Ω Boundary Conditions (BC): Bf (= x ) 0, x ∈ ∂Ω Material: ( µ , σ , ε ) Frequency: ( f ) Sources: ( Es , H s , J s ) Introduction to Field Simulations Model Discretization Model discretization PDE & Boundary Condition Df ( x ) = 0, x ∈ Ω Bf ( x ) = 0, x ∈ ∂Ω Large sparse linear system of equations FEM scheme [A]{x} = {b} Introduction to Field Simulations Numerical Solution Electric and magnetic field, potential… Colorful pictures as a final result of field simulation Electromagnetic energy, force … Temperature, pressure, velocity… Real Life Simulation Examples Coupled Transient Electro-Mechanical Analysis of GCB Power transmission lines Step-up transformer > 110kV GCB < 30kV Generator In the area of generator circuit breakers (GCB) is the ABB development and manufacturing unit in Oerlikon (ABB High Current Systems) the technology- und market leader: • Global market size ~ 180 MUS$ (~ 450 GCBs) • ABB market share ~ 75%, 140 MUS$ (~ 340 GCBs) Real Life Simulation Examples Coupled Transient Electro-Mechanical Analysis of GCB EM-Part Non-harmonic short-circuit current with significant exponentially decaying DC-component: Stationary 3-D Magnetostatic Analysis Software: ANSYS Emag Magnetic Force Density 300 R S T ME-Part Transient Mechanical Analysis (in Time-domain) Kurzschlussstrom (kA) 200 100 0 -100 -200 Software: ANSYS Structural -300 0 IEFF=100 (kA) 20 40 Zeit (ms) 60 80 Real Life Simulation Examples Coupled Transient Electro-Mechanical Analysis of GCB ABB GCB: HECS-130R Nominal voltage: 25.3kV 1120mm 1885mm Rated current: 9kA Rated short-circuit current: 130kA Reaction time: 60ms 2700mm Mass: 3’500kg Real Life Simulation Examples Coupled Transient Electro-Mechanical Analysis of GCB Animation of the breaker’s displacement during the entire short circuit time of 80ms Real Life Simulation Examples Coupled Electromagnetic-Thermal Analysis of GCB EM-Part Stationary 3-D Eddy-currents Analysis (in Frequency-domain) Software: Infolytica MagNet Ohmic and Eddy-current Losses TH-Part Transient Thermal Analysis (in Time-domain) Software: Infolytica ThermNet Real Life Simulation Examples Coupled Electromagnetic-Thermal Analysis of GCB Induced eddy-currents in the pole-frame Real Life Simulation Examples Coupled Electromagnetic-Thermal Analysis of GCB Heating up of the breaker under nominal operating conditions. Real Life Simulation Examples Coupled Electromagnetic-Thermal Analysis of GCB Heating up test at the nominal current of 9’000A / 50Hz Real Life Simulation Examples Coupled Electromagnetic-Thermal Analysis of GCB Simulations vs. measurements. Real Life Simulation Examples Coupled EM-Thermal Analysis of Power Transformers In the area of the dry-type distribution transformers is the ABB Product Group Dry the global technology- und market leader: Global market size ~ 2’500 MUS$ ABB market share ~ 22%, 550 MUS$ Real Life Simulation Examples Coupled EM-Thermal Analysis of Power Transformers Real Life Simulation Examples Coupled EM-Thermal Analysis of Power Transformers J. Smajic, T. Steinmetz, B. Cranganu-Cretu, “Analysis of Near and Far Stray Magnetic Fields of Dry-Type Transformers: 3D Simulations vs. Measurements”, IEEE Transactions on Magnetics, Vol. 47, No. 5, pp. 1374-1377, May 2011. Real Life Simulation Examples Coupled EM-Thermal Analysis of Power Transformers Real Life Simulation Examples Coupled EM-Thermal Analysis of Power Transformers Real Life Simulation Examples Coupled EM-Thermal Analysis of Power Transformers Real Life Simulation Examples Coupled EM-Thermal Analysis of Power Transformers Real Life Simulation Examples Coupled EM-Thermal Analysis of Power Transformers J. Smajic, T. Steinmetz, B. Cranganu-Cretu, “Analysis of Near and Far Stray Magnetic Fields of Dry-Type Transformers: 3D Simulations vs. Measurements”, IEEE Transactions on Magnetics, Vol. 47, No. 5, pp. 1374-1377, May 2011.
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