Iron core loss calculation with QuickField

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1 Iron core loss calculation with QuickField Vladimir Podnos, Director of Marketing and Support, Tera Analysis Ltd. Alexander Lyubimtsev Support Engineer Tera Analysis Ltd.

2 QuickField Analysis Options Magnetic Problems Electric Problems Thermal and mechanical problems Magnetic analysis suite Magnetostatics AC Magnetics Transient Magnetic Electric analysis suite Electrostatics (2D,3D) and DC Conduction AC Conduction Transient Electric field Thermostructural analysis suite Steady-State Heat transfer Transient Heat transfer Stress analysis

3 Electromagnetic fields Magnetic state import MultiPhysics Stresses & Deformations Joule Heat Losses Temperature s Forces Temperature Field Thermal Stresses

4 Open object interface

5 QuickField Analysis Options Magnetic Problems Electric Problems Thermal and mechanical problems Magnetic analysis suite Magnetostatics AC Magnetics Transient Magnetic Electric analysis suite Electrostatics (2D,3D) and DC Conduction AC Conduction Transient Electric field Thermostructural analysis suite Steady-State Heat transfer Transient Heat transfer Stress analysis

6 QuickField Analysis Options Magnetic Problems Electric Problems Thermal and mechanical problems Magnetic analysis suite Magnetostatics AC Magnetics Transient Magnetic Electric analysis suite Electrostatics (2D,3D) and DC Conduction AC Conduction Transient Electric field Thermostructural analysis suite Steady-State Heat transfer Transient Heat transfer Stress analysis

7 Magnetic analysis applications Transformers Motors and generators Induction heating

8 Iron cores in transformers

9 Iron cores in electric motors and generators

10 Induction heating of steel parts Carbon steel alloy crankshaft

11 Iron core loss factors Hysteresis losses Eddy current losses

12 Iron loss calculation models Steinmetz's equation P = k f a B c Hysteresis models Bertotti expression: P = P hyst + P eddy + P excess Other models P hyst = k h f B m2 hysteresis P eddy = k c f 2 B m2 eddy current P excess = k e (f B m ) 3/2 excess

13 Iron core losses in AC Magnetics Bertotti expression approach

14 Alternative approaches in AC Magnetics and Transient Magnetics core losses: Custom integral calculation using ActiveField Appllication Programming interface

15 QuickField Difference

16 Iron core loss calculation with QuickField Alexander Lyubimtsev Support Engineer Tera Analysis Ltd.

17 Iron core loss calculation with QuickField 1. Loss coefficient calculation 2. No-load mode of transformer. Iron loss calculation. 3. Iron core losses in transient problem

18 Loss coefficients Problem specification: Material density ρ = 7650 kg/m 3 Task: Calculate the iron loss coefficients. Bertotti expression: P core = k h f B m2 + k c f 2 B m2 + k e (f B m ) 3/2 *Core loss data of Arnon TM 5 non-grain oriented electrical steel are provided by Arnold Magnetics.

19 No-load mode of transformer Problem specification: Core permeability μ =2000 Frequency f = 400 Hz. Winding 1 (primary): no-load current 20 ma, number of turns 400 Core loss coefficients: k h = 124 k c = k e =1.86 All dimensions are in millimeters Bertotti expression P core = k h f B m2 + k c f 2 B m2 + k e (f B m ) 3/2 Task: Calculate the core losses in the no-load mode of transformer.

20 Custom integral programming interface QuickField Your program Field data in the mesh node Loss data Custom function: k h f B m2 + k c f 2 B m2 + k e (f B m ) 3/2

21 Transient excitation mode (sin) Problem specification: All dimensions are in millimeters 1 0,5 0-0,5-1 [deg] Bertotti expression P core = k h f B m2 + k c f 2 B m2 + k e (f B m ) 3/2 Core permeability μ =2000 Loss coefficients: k h = 124 k c = k e =1.86 Frequency f = 400 Hz. Winding 1 (primary): no-load current 20 ma, number of turns 400, Task: Calculate the core losses in the transient excitation mode of transformer.

22 Transient excitation mode Problem specification: Core type: 3C81-E Core permeability μ =2700 Frequency f = 20 khz. Winding 1 (primary): voltage 40 V, number of turns 80, Core loss [W/m 3 ] All dimensions are in millimeters +40 V -40 V Time [μs] P core = max(k 1 f α1 B β1 ; k 2 f α2 B β2 ) Task: Calculate core losses in no-load mode Testing Core Loss for Rectangular Waveforms, Phase II Final Report, 21 September 2011 by Charles R. Sullivan and John H.Harris; Thayer School of Engineering at Dartmouth.