Simulation of electric and magnetic fields using FEMM - FH Aachen ...

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Figure 1-114E,t plot 1.7.10 Compare with theoretical value Figure 1-115 Voltages So the voltage on middle layer should be 1750V* 3/4= 1312.5V. And according to the “Points props”, our model is correct. Figure 1-116 Detail info . →C1:C2= ε1: ε2= 3:1 →U1/U2= C2/C1= 1/3 Equation 4 U1 U2
2. Electrical Field Before we deal with some current flow problems, we should first understand-- What is an electrical field? In physics, an electric field surrounds electrically charged particles and time-varying magnetic fields. This electric field exerts a force on other electrically charged objects. Michael Faraday introduced the concept of an electric field. The electric field is a vector field with SI units of newtons per coulomb (N/ C) or, equivalently, volts per meter (V/m). The strength or magnitude of the field at a given point is defined as the force that would be exerted on a positive test charge of 1 coulomb placed at that point; the direction of the field is given by the direction of that force. Electric fields contain electrical energy with energy density proportional to the square of the field amplitude. The electric field is to charge (E=F/q) as gravitational acceleration is to mass (a=g*m/r 2 ) and force density is to volume (f= dF/dV). An electric field that changes with time, such as due to the motion of charged particles in the field, influences the local magnetic field. That is, the electric and magnetic fields are not completely separate phenomena; what one observer perceives as an electric field, another observer in a different frame of reference perceives as a mixture of electric and magnetic fields. For this reason, one speaks of "electromagnetism" or "electromagnetic fields". In quantum mechanics, disturbances in the electromagnetic fields are called photons, and the energy of photons is quantized. 10 2.1 Cable 1 Assume we have a perfect concentric cable. At inner cable a voltage of 130kV (compare to the ground) is applied. Layer 1 Layer 2 σr (S/m) 3 2 Table 2-1 Value of the electrical conductivity We will draw the field profile E=f(r) of this cable as well as a plot of E=f(r). 2.1.1 Create a new file. “File”→“New”→ “Current Flow Problem” 2.1.2 Set problem definition. Press Menu: “Problem”. Change problem type to “Axisymmetric” and Unit length to “millimeters”. 10 Electric field in "Electricity and Magnetism", R Nave
Page 1 and 2:
Simulation of electric and magnetic
Page 3 and 4: Acknowledgments I would like to exp
Page 5 and 6: 1.4.1 Create a new file. ..........
Page 7 and 8: 3.2.1 Create new file .............
Page 9 and 10: Current flow procedures: 1. Create
Page 11 and 12: Problem Type: Axisymmetric Length U
Page 13 and 14: Figure 1-7 Voltage on layer 1 Groun
Page 15 and 16: 1.1.7 Generate mesh and run FEA Run
Page 17 and 18: Figure 1-18E,t plot And this plot c
Page 19 and 20: 1.2.2 Set problem definition. Press
Page 21 and 22: But here we have a non-symmetric ca
Page 23 and 24: 1.2.6 Define conductor and material
Page 25 and 26: Figure 1-38 Contour Then select E,
Page 27 and 28: 1.3.3 Create a new model We treat t
Page 29 and 30: 1.3.5 Set up the properties of mate
Page 31 and 32: Figure 1-53 Result 1.3.9 Plot field
Page 33 and 34: Inner cable 2*ri=10 mm Flange(Flans
Page 35 and 36: Figure 1-62 Conductor properties Fi
Page 37 and 38: Figure 1-67Contour Use function to
Page 39 and 40: 1.5.2 Set problem definition. Press
Page 41 and 42: 1.5.6 Define conductor properties T
Page 43 and 44: Figure 1-83D,t plot 1.5.11 Comparis
Page 45 and 46: And this time it seems to be smooth
Page 47 and 48: The outer shell is connected with g
Page 49 and 50: 1.6.8 Plot field values Draw E and
Page 51 and 52: 1.7.3 Create a new model Draw 3 seg
Page 53: 1.7.8 Display results Figure 1-111R
Page 57 and 58: 2.1.5 Define conductor properties S
Page 59 and 60: Draw the contour from (0, 0) to (14
Page 61 and 62: Figure 2-13 New model step 2 2.2.4
Page 63 and 64: σr=1 for schicht2 Figure 2-19Prope
Page 65 and 66: 2.2.9 Plot field values Choose cont
Page 67 and 68: Figure 3-2 Problem definition 3.1.3
Page 69 and 70: 3.1.7 Define circuits. Select menu
Page 71 and 72: 3.1.10 Associate Properties with bo
Page 73 and 74: Click on button . Then in the dialo
Page 75 and 76: 3.2 Air gap Here we have a square c
Page 77 and 78: Figure 3-24 Circuit 3.2.8 Place Blo
Page 79 and 80: Figure 3-29 Mesh 3.2.12 Analysis re
Page 81 and 82: 3.2.13 Plot Field Values Draw conto
Page 83 and 84: List of figures Figure 1-1 Create a
Page 85 and 86: Figure 1-89 New model .............
Page 87: List of tables Table 1-1 Values of
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