Leiteranordnung (AC)

Am Beispiel einer Leiteranordnung mit einem wirbelstromführenden Massivleiter wird die magnetodynamischen Berechnung (Fall f > 0) mit FSL veranschaulicht.

Folgende Beispiele können im Skript ausgewählt werden:

-- 30 = proximity effect in open conductors
-- 31 = induced current in short cicuited conductors
-- 32 = skin effect in a single conductor
-- 33 = skin effect in a coil

case = 31
Bemerkungen

Die Randbedingungen sind physikalisch nicht sinnvoll, dieses Skript-Beispiel dient lediglich der Verdeutlichung.

Wirbelstromdichte und Feldlinienverlauf im Falle offener Sekundärleiter (case = 30)

../../../_images/example13_30_ecurd.png ../../../_images/example13_30_fieldl.png

Wirbelstromdichte und Feldlinienverlauf im Falle kurzgeschlossener Sekundärleiter (case = 31)

../../../_images/example13_31_ecurd.png ../../../_images/example13_31_fieldl.png

Skript-Datei

--------------------------------------------------------------------------------
-- Allgemeine Einstellungen ----------------------------------------------------
--------------------------------------------------------------------------------

exit_on_error = true    -- Verhalten nach Fehler
exit_on_end = false     -- Verhalten nach Skriptausfuehrung
verbosity = 2           -- Grad der Bildschirmmeldungen

tts = 1                 -- minimum time to sleep between change of figures

-- choose type of problem -------------------------------------------------------

-- magnetodynamic with massiv conductors f!=0, v=0
-- 30 = proximity effect in open conductors
-- 31 = induced current in short cicuited conductors
-- 32 = skin effect in a single conductor
-- 33 = skin effect in a coil

case = 31

--------------------------------------------------------------------------------
-- Modellerstellung ------------------------------------------------------------
--------------------------------------------------------------------------------

new_model_force("example13","FEMAG-AC FSL Example")

global_unit('mm')   -- Globale Einheit (m; cm; mm)
pickdist(0.001)     -- Abstand für Schnappen auf Knotenpunkt
cosys('polar')      -- Beszugssystem

bA2 = 350
RLa = 20
RLi = 20
SW1 = 160
SW2 = 60

ndt(bA2/20)         -- global node distance
dn = 3              -- node distance of conductors

nLa = math.ceil(2*math.pi*RLa/dn)+1
nLi = math.ceil(2*math.pi*RLi/dn)+1

x1 = bA2/2; y1 = 0.0;
x4 = -SW1/2; y4 = 0;
x6 = SW1/2; y6 = 0;
x3 = -SW2/2; y3 = 0;
x5 = SW2/2; y5 = 0;

nc_circle(x1,y1,-x1,y1,0)
nc_circle(-x1,y1,x1,y1,0)
nc_circle_m(x3,y3,RLi,nLi)
nc_circle_m(x4,y4,RLa,nLa)
nc_circle_m(x5,y5,RLi,nLi)
nc_circle_m(x6,y6,RLa,nLa)

adapt_window()

create_mesh()
def_bcond_vpo(x1,y1,-x1,y1)
def_bcond_vpo(-x1,y1,x1,y1)

if case<32 or case>33 then
  Nc = 100
  ff = 0.6
  set_dev_data("cond_fillfact",ff*100,ff*100)
  wk1 = def_new_wdg(x4,y4,"cyan","Spule 1",Nc,0,wi)
  add_to_wdg(x6,y6,wsamekey,wo,wser)
  if case<=30 or case==31 or case==40 or case==50 then
    Jc = 4.5;
    Ic = math.pi*RLa^2*ff/Nc*Jc
    def_curr_wb(wk1,Ic,0)
  end
end

wk2 = def_new_bar(x3,y3,lightgrey,"Spule 2",0,0,wi,58e6,1.0,100)
if case==30 or case==33 then
  add_to_bar(x5,y5,wsamekey,wo,wser)      -- offener Spule
end
if case==31 or case==40 or case==50 then
  add_to_bar(x5,y5,wsamekey,wi,wpar)      -- kurzgeschlosses Spule
end
if case==32 or case==33 then
  Jb = 4.5;
  Ib = math.pi*RLi^2*Jb
  def_curr_wb(wk2,Ib,0)
end

--------------------------------------------------------------------------------
-- Berechnen -------------------------------------------------------------------
--------------------------------------------------------------------------------

f1 = 100    -- max frequency
N = 5       -- number of frequency steps

state_of_problem("mag_static")
f = 0
calc_field_single(1,actual,0.01)
post_models("draw_f_lines","b")
sleep(tts)

state_of_problem("mag_dynamic")
for i=1,N do
  color_gradation(0,0,"tot","ecurd",0,0,"")
  f = f1*i/N
  if case==21 or case==40 or case==50 then
    set_mat_velo(x3,y3,0,f/50*2*math.pi)
    set_mat_velo(x5,y5,0,f/50*2*math.pi)
  end
  calc_field_single(1,actual,0.01,f)
  post_models("draw_f_lines","b")
  save_metafile("field_lines_f.eps")
  sleep(tts)
end

color_gradation(0,0,"tot","ecurd",0,0,"ecurr_dens_f.eps")
sleep(tts)

--save_model('close')