4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS   
I. Artuso
(1)
, S. Ghedin
(1)
, P. Siega
(1)
 and A. Visconti
(2) 
(1)
 ATE Applicazioni Termo Elettroniche, Viale dellArtigianato 9, 36100 Vicenza, Italy 
(2)
 Technical Consultant, Via Spluga 80, 23853 Olgiate - Como, Italy  
1. INTRODUCTION 
  The  continuous  heating  of  steel  wire  for  most  industrial  applications  is  got  by  induction 
furnaces. In these type of furnace the wire moves through a spiral copper coil. As known, this 
method, in comparison with other heating techniques, offers significant advantages, e.g., good 
efficiency  (in  particular  with  magnetic  materials),  high  accuracy  of  the  temperature 
obtainable,  reduced  overall  heating  unit  dimensions  and  above  all  very  easy  arrangement  of 
the heating unit in the so called in line processes. 
  Depending on physical characteristics of the material to heated and the wire cross-section, 
the  induction  heating  theory  (as  described  in  section  4
th
)  allows  to  identify  an  optimal 
working frequency value for the coil exciting. Such value is generally in the range from some 
kHz  to  few  hundreds  kHz,  for  wires  with  diameters  greater  than  5  or  6  mm  of  magnetic 
material or with small diameters (lower than 1 mm) for non-magnetic material. 
  Nowadays  there  are  three  type  of  inverters  which  cover  the  above  mentioned  working 
frequency range: inverters with SCR are generally used till 10 kHz, inverters with IGBT from 
10 to 50-60 kHz, inverters with MOSFET from 50 to 200-300 kHz. 
  The application described in this paper concerns the continuous heat treatment at 400 C of 
steel strands (7 high carbon steel wires) both magnetic and no-magnetic. The requirements for 
heating  magnetic  and  no-magnetic  strands  in  the  same  heating  unit  (with  just  reduced 
throughput)  have  been  fulfilled  an  induction  heating  unit  with  double  frequency  conversion 
system.  The  heating  unit  is  equipped  with  three  coils:  the  first  two  supplied  by  a  generator 
400 kW - 46 kHz, are used for the heating of magnetic strands, while the third, is supplied 
by a generator 250 kW - 30-50 kHz, is used for no-magnetic strands. 
  In  this  application,  there  isnt  a  great  interest  of  using  the  two  generator  simultaneously; 
this possibility, on the contrary, is very useful when the requirement is to heat over the Curie 
point steel wire with diameter from 6 to about 14 mm. In this case the first two coils heat the 
material 700720C up to while the third is used in the temperature range from 700720C to 
9501000C. 
2. PRE-STRESSED CONCRETE STEEL STRANDS LINE 
Strands Composition 
Pre-stressed concrete steel strands can be formed by 2, 3 or 6+1 steel wires, with properties 
that  will  be  discussed  later.  In  accord  once  to  ASTM  A416-94  Standard  the  stranding  pitch 
can  be  between  12  and  16  times  the  strand  nominal  diameter  or,  according  to  ISO  6934-
4:1991 Standard, between 12 and 22, for the 2 or 3 wires strand, and from 12 to 18 times for 
the  6+1  wires.  The  most  common  strand  is  the  6+1  wires;  where  the  core  wire,  that  is  the 
central  wire  around  which  the  other  six  are  spirally  wounded,  must  have  a  diameter  at  least 
2% bigger.  
The Wires 
The wires utilised to make the strand are obtained from carbon rod, Chrome micro-alloy or 
Vanadium micro-alloy, cold drawn through dies. The wire has to be wound on reels, suitable 
for  the  stranding  machine,  of  a  diameter  approximately  the  same  to  the  drawing  block 
utilised.  
2 
4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS  
Today the new philosophy is to use drawing machines with blocks diameters of 900 mm or 
1.200 mm (instead of 760 mm used till some years ago), and stranders of 1.120 mm reels with 
the aim of obtaining a much better cooling of the wire and a better productivity. 
The Strands 
Let us now have a look to the most common strands, as shown in Figure 1 and exposed in 
the Table 1.    
Figure 1 - The more used strands type.  
These strands are made of bright (black) wires and they are utilised for the pre-tensioning 
of  concrete  structures.  In  the  last  three  rows  of  the  Table  1  are  listed  the  Compacted  or 
Dyformed strands, so called, because they are obtained from formed one and passed through a 
drawing die that compacts and reduces its diameter in order to have an higher quantity of steel 
having the same nominal diameter, corresponding to an higher strength of the strand. 
Additionally  to  the  above  mentioned  strands,  there  are  other  types  of  strands  made  of 
indented wires, that means with the surface formed to allow a better grip of the concrete. 
Another  series  of  strands,  utilised  for  the  Post-tensioning  of  the  concrete  structures,  or  in 
order  to  strengthen  structures  already  installed,  is  constituted  by  strands  made  of  bright 
(black) wires or zinc plated, greased and coated with special plastic coatings. 
New  types  of  strands,  produced  by  lines  of  the  latest  technology  now  on  the  market,  are 
those made of Stainless Steel Wires for very special utilisation.  
2 / 9 
3 
4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS   
Table 1 - The more used strands type list. 
Strand   Area  Weight  Pitch  Speed  Skip  Pull  Strength 
inches  mm  mm
2
  Kg/m  mm  m/min  RPM  Kg  Kg 
3/8"  9.3  67.9  0.408  140  112  800  5200  8800 
3/8"s  9.6  72.4  0.432  140  112  800  5200  10200 
7/16"  11.0  95.0  0.557  165  132  800  6800  12000 
7/16"s  11.3  100.3  0.590  165  132  800  7200  13800 
1/2"  12.5  122.7  0.730  190  152  800  8800  16000 
6/10"  15.2  181.5  1.090  229  110  480  13500  23900 
6/10"s  15.7  193.6  1.180  229  110  480  14000  26000 
7/10  17.8  191.3  1.504  250  85  340  16000  30000 
Dyform 14.7 mm  12.7  126.7  0.890  200  110  550  13500  20900 
Dyform 18 mm  15.2  181.5  1.295  242  94  390  16000  30000 
Dyform 20 mm  18  254.5  1.750  261  74  285  20000  38000  
The Heat Treatment 
  Once the strand is made, it has to be heat treated at low temperature (380400C), with a 
continuous  process  of  pay  off  and  take  up,  passing  through  a  suitable  heating  system:  this 
process is called STRESS RELIEVING. If the strand is also pulled adequately, during the 
passage through the heat treatment, by means of a system composed by two pulling units fit 
one before and one after the furnace, the process is called LOW RELAXATION. 
  Today this is the system more commonly utilised. The treated strand has to be rewound in 
coils having internal diameter sufficiently big to ensure that strand returns reasonably straight 
once paid off, that means with a curve not over 25 millimetres over one metre of strand laid 
onto a flat surface. This diameter is normally considered 800 mm  60 mm or 950 mm  60 
mm.  Strand  forming  operations  and  the  stress  relieving  treatment  shall  ensure  that  the  wires 
do not unravel when the strand is cut. 
Production Lines 
  Let  us  now  discuss  about  pre-stressed  concrete  strand  production  lines,  considering  the 
latest developed design made by an Italian producer, world leader of machinery for the wires 
world,  suitable  to  produce  all  types  of  strands  above  mentioned,  including  those  made  of 
Stainless steel. Referring to the layout of Figure 2, we will mention the main components:  
1.  Skip Strander suitable to run 6 +1 reels with 1.120 millimetres flange, having a capacity of 
2.500 kg of wire each, that includes the strand pre-forming system. 
2.  Post-former  for  the  finishing  of  the  produced  strand,  with  the  possibility  of  using  the 
drawing die for compacted strand. 
3.  First  pulling  unit  to  pull  the  strand  out  of  the  skip  strander,  giving  as  well  the  necessary 
drawing pull in case of production of compacted strand and, at the same time, adequately 
synchronised with the second pulling unit, (3') giving the necessary back tension needed to 
allow the Low relaxation.  
4.  The return pulley, which not only allows to reverse the working direction of the strand for 
decreasing the total length of the line, but also provides the precise pull control necessary 
in the process. 
5.  The induction furnace, which is necessary for the needed heat treatment of the strand and 
will be described in detail in a separate chapter.  
6.  The cooling quench, together with the connected drying unit, brings back the temperature 
of the strand to the prescribed value. 
3 / 9 
4 
4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS  
7.  The two take-Up/pay-Off wind the complete skips load of 2.5 ton x 7 reels = 17,5 tons of 
strand that is then rewound on the double automatic layer winder. While one units take-ups 
the strand from the treatment line, the second one is paying off to the layer winder.  
8.  Double  spooler  with  fully  automatic  strand  layer  winding,  to  rewind  the  strand  at  high 
speed  into  the  coils  of  the  dimensions  requested  by  the  market.  The  use  of  the  double 
spooler  allow  the  operators  to  set-up  the  second  spooler  to  the  next  requested  coils 
dimension,  chosen  from  a  quite  vast  series  of  barrel  and  flange  diameters  together  with 
widths, while the first one is working, increasing enormously the lines productivity.  
The  speeds  of  those  lines  are,  in  the  production  and  treatment  area  up  to  160  metres  per 
minute, that can arrive up to 180 metres per minute in case of heat treatment off-line, and up 
to 300 metres per minute in the layer winding section.  
1   2   3   4
5 6 7 8   3'   4
Figure 2 - The production line lay-out is given by Mario Frigerio S.p.A. of Lecco  ITALY 
3. HEATING FURNACE CHARACTERISTICS 
Medium Frequency Inverter 
  The electrical scheme used for this application, shown in Figure 3, includes:  
  an  impressed  current  power  supply  constituted  by  an  AC/DC 
converter  full  controlled  section  followed  by  a  DC  smoothing 
reactance  
  a Medium Frequency inverter in H bridge single-phase configuration 
  a resonant circuit formed by the coil and capacitor in parallel connection  
DRIVER DRIVER
HEATING UNIT ELECTRICAL
CABINET
PLANT
SUPERVISORY
COMPUTER
AC/DC
CONVERTER
CONTROLLER
AND START-UP
SEQUENCES
AC/DC CONVERTER
FULL CONTROLLED
M.F. INVERTER CONTROLLER
DRIVERS SUPPLY AND
PROCTECTIONS COORDINATION
LOAD
SYNCHRONISMS
THYRISTORS
R
S
T
START-UP
SEQUENCES
M.F. INVERTER 
Figure 3 - Medium frequency inverter block diagram. 
4 / 9 
5 
4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS  
  This  solution,  the  so-called  impressed  current  parallel  inverter,  gives  the  best  efficiency 
conversion,  a  very  easy  construction  and  optimal  utilisation  of  SCR  at  Medium  Frequency. 
Its nowadays, for rated power greater than some hundreds of kW and working frequency up 
to  8  kHz,  the  best  used  configuration  since  it  sums  the  advantages  of  high  reliability  and 
cheapness.  The  AC/DC  control  is  done through a microprocessor by means of two feedback 
loops  (voltage  and  current)  and  PID  (Proportional  Integrative  Derivative)  software  for  the 
current  control  that  delivers  the  M.F.  inverter  and  its  protection.  The  last  one  has  a  control 
system  that  optimises  the  SCR  firing  pulses  during  the  start-up  sequence  and  hooks  the 
working  frequency  by  means  a  PLL  circuit  with  automatic  matching  due  to  the  impedance 
variation and load circuit Q. 
High Frequency Inverter 
  In this case an impressed current configuration was utilised too, in order to have the same 
construction  as  in  the  M.F.  section.  The  AC/DC  converter  is  a  Graetz  three-phases  bridge 
full-controlled  with  SCRs.  In  other  cases  a  DC/DC  chopper,  with  a  working  frequency  of 
about 5 kHz, which allows to reduce the DC filter size placed immediately after the AC/DC  
VOLTAGE
CLAMPING
DRIVER DRIVER
HEATING UNIT ELECTRICAL
CABINET
PLANT
SUPERVISORY
COMPUTER
AC/DC
CONVERTER
CONTROLLER
AND START-UP
SEQUENCES
AC/DC CONVERTER
FULL CONTROLLED
H.F. INVERTER CONTROLLER
DRIVERS SUPPLY AND
PROCTECTIONS COORDINATION
CROW-BAR
  LOAD
SYNCHRONISMS
THYRISTORS
R
S
T  
Figure 4 - High frequency inverter block diagram. 
converter.  In  the  same  time  it  assures  operation  times  very  fast  and  therefore  a  better 
protection  of  the  H.F.  inverter.  The  principle  scheme  is  shown  in  figure  4.  There  are  two 
auxiliary  units,  as  inverter  backing,  the  first  is  a  crowbar,  the  second  is  a  voltage  clamping. 
They have the scope of absorbing the overvoltages that appears at the ends of the IGBT when 
there is a load anomaly. The H.F. resonant inverter suggests again the H bridge single-phase 
configuration,  each  branch  is  composed  by  an  IGBT  and  by  a  power  diode  in  series 
connection.  Owing  to  reduced  propagation  times  and  high  immunity  to  voltage  gradients 
between  inverter  driver  and  control  cards,  and  the  need  of  galvanic  insulation,  optical  fibre 
was utilised for the critical transmission of signals as IGBT driving signal and the protections 
co-ordination ones. 
The Heating Unit 
  The two high and medium frequency inverters are placed inside a movable strong structure 
while the AC/DC converters are placed in an electrical cabinet constituted of modular  
elements. 
5 / 9 
6 
4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS  
This  solution,  specifically  used  for  heat  treatment  strand  or  wire  lines,  has  the  following 
advantages: 
  the  electrical  cabinet  may  be  placed  far  from  the  heating  unit  since  the  power 
connections are normal power cables, passed by DC current; 
  all power connections of both inverters (which require a water circulation closed circuit 
distilled cooling) are placed in a very reduced space so that the furnace length is 4.5 m 
only. 
  in  particular  the  reduced  distance  between  inverter  and  resonant  circuit  minimizes  the 
inductance  of  connections  generally  undesirable  both  at  Medium  and  particularly  at 
High Frequency. 
Automatic Control System 
  The automatic control system is based on an industrial PC with master function, connected 
by means RS485 serial line to any slaves with microprocessor:  
  AC/DC digital control card 
  digital signals acquisition cards (running state, alarms and protections, trolley proximity 
of the heating unit, breakdown strand sensor) 
  analog signals acquisition cards (speed and temperature strand).  
  The  most  important  parameters  (treatment  temperature,  delivered  power,  pull,  stretching 
etc.) are shown by means of graphics on PC. In case of plant stop is visualized the protection 
tripped and appear the suggestion of how to solve the problem. For each wire or strand treated 
is  calculated  the  specific  power  to  be  delivered  on  the  basis  of  cross  section,  specific  heat, 
treatment temperature and system efficiency. The delivered power is controlled by means of a 
first feedback loop proportional to wire/strand speed. A second feedback loop makes the fine 
control  on  the  delivered  power  (limited  to  5-10%  of  the  maximum  power  in  order  to  avoid 
tracking jitters) on the basis of the temperature reading of an infrared pyrometer placed at the 
coils exit. In figure 5 the components of the above described plant are shown.   
Figure 5 - A view of the plant. In right side the electrical cabinet; in left side the heating unit, 
in  the  middle  the  desk-control  unit,  in  the  lower  left  corner  the  heat  exchanger  industrial-
distilled water unit. 
6 / 9 
7 
4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS  
4. INDUCTION COILS DESIGN 
Frequency Selection 
  As  known,  the  optimum  frequency  range  for  the  heating  of  wires,  which  gives  the 
efficiency  in  the  transfer  of  energy  from  the  inductor  coil  to  the  wire,  is  given  by  the 
relationship: 
m
D
= = 
2
2 5 4 5
. .  
 
(1)
where  
  
=
f
r 0
  is  the  penetration  depth,  D  is  the  wire  diameter,    is  the  electrical 
resistivity,  
r
  is  the  permeability,  
0
  is  the  absolute  one  and  f  the  exciting  magnetic  field 
frequency.  All  these  parameters  are  functions  of  the  temperature  and,  in  the  ferromagnetic 
case, both of the temperature and the exciting magnetic field intensity H
0
. Since the H
0
 value 
is  linked  to  the  throughput  target,  the  permeability  is  a  consequence  and  in  this  way  is 
determined  the  working  frequency  range  of  the  induction  furnace  in  order  to  do  the  heat 
treatment  for  all  size  strands.  In  Table  2  are  given  productions  and  working  data  of  an 
induction  furnace.  The  frequency  values  are  calculated  taking  into  consideration  the  heating 
of single wires. Therefore, for magnetic wires, also frequencies between 1 and 2.5 kHz can be 
used if the possible contact among wires is taken into consideration; however, in this case, no 
particular economical advantages can be given by the reduction of the working frequency. 
Table 2 - Summarising data of a throughput schedule in case of magnetic strands. H
0
 and f
MF
  
are  the  magnetic  field  amplitude  and  the  medium  frequency  value  necessary  to 
obtain a good heat treatment. 
Strand  Output  P
T
  H
0
  
r
  f
MF
 
Diam.  Diam.   Diam.
WIRE
        (to 20C)   
inches  (mm)  (mm)  (Kg/h)  (W)  (A/cm)  (-)  (Hz) 
3/8"  9.3  3.10  2578  133884  507  27.6  5028 
7/16"  11.1  3.70  4187  217445  646  20.7  4706 
1/2"  12.5  4.17  6176  320740  785  16.5  4648 
6/10"  15.2  5.07  6013  312275  774  16.8  3088 
7/10"  17.8  5.93  6215  322766  787  16.4  2313 
 
  A  different  situation  arise  when  heating  non-magnetic  wires  (e.g.  inox).  In  this  case,  the 
reduction  of  frequency  corresponding  to  the  values  of  Table  3  -  calculated  taking  into 
consideration  the  heating  of  single  wire  (column  A)  or  the  possible  contact  among  wires 
(column B) - allows the designer to obtain considerable economical advantages. Moreover, a 
reduction  of  efficiency  is  acceptable  in  this  case,  taking  into  account  the  usually  limited 
annual production of non-magnetic wires, as compared to magnetic ones. 
Table  3  -  Optimal  heating  frequency  for  no-magnetic  strand  steel  18Cr8Ni;  
20C
  =  69.5 
cm;. 
400C
 = 97.6 cm. 
Strand  f
AF
  m  m 
  
WIRE
  
EQUAL
  A  B  (to 20C) (to 400C) 
inches  mm  mm  (kHz)  (kHz)  -  - 
1/2"  4.17  11.0  182  26  3  2.53 
6/10"  5.07  13.4  123  18  3  2.53 
7/10"  5.93  15.7  90  13  3  2.53 
7 / 9
 
8
 
4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS 
 
Coil Efficiency 
  The coil efficiency may be evaluated by means of the following formula: 
 
 
=
+
1
1
2
COIL
r WIRE
i i
A k
P
 
 
(2)
 
where 
COIL
 is the resistivity of the coil, 
WIRE
 and 
  r
 are the resistivity and permeability of 
the  wire;  Ai,  ki  and  P  active  power  coefficients  of  inductor  and  load;  coupling coefficient 
between inductor and wire. In Figure 6 are shown the values for magnetic and non magnetic 
strand. 
3   4   5   6   7
1
10
100
mm
1
2
 
Figure 6 - Line 1 shows the typical efficiency of a coil when is a magnetic strand heated. Line 
2  shows  the  efficiency  for  non-magnetic  strand,  the  upper  curve  is  referred  to  the  heating 
done at 50 kHz with good electrical contact between the wires; the lower curve is referred to 
the heating done at 50 kHz with absence of a good electrical contact between the wires. In x-
axis is indicated the wire diameter that forms the strand. 
  50 kHz results to be the optimum frequency for the heat treatment over Curie point of the 
pre-stressed  steel  wire.  In  fact  in  case  of  heat  treatment  of  wire  with  diameter  from  5  to  14 
mm and heating temperature from 750C to 1000C the optimum working frequency is shown 
in Table 4. As can be seen the 50 kHz frequency is good for wire with diameter 7 e 14 mm, 
while results fair for 5 and 6 mm only. 
 
Table  4  -  Value  of  parameter  m  in  case  of  over  Curie  heating  for  Ulbond  wire  at  50  kHz. 
Electrical resistivity value at 750C equal to 100 cm, at 1000C is 111 cm. 
f
  -  (mm)  5  7  9  11  14 
f
AF
  -  (kHz)  50  50  50  50  50 
m  (to 750C)  (-)  1.58  2.21  2.84  3.47  4.42 
m  (to 1000C)  (-)  1.46  2.04  2.63  3.21  4.08 
 
8 / 9
 
9
 
4
INDUCTION FURNACE FOR HEAT TREATMENT OF AUSTENITIC AND/OR 
FERRITIC STEEL WIRES AND STRANDS 
 
REFERENCES 
 
L.ARTUSO,  F.DUGHIERO,  S,LUPI,  S.PARTISANI,  P.FACCHINELLI:  Installations  for  the  Continuos 
Induction  Heat  Treatment  of  Wire,  UIE  XIII  Congress  on  Electricity  Applications,  Birmingham,  16-20  June 
1996 
J.REBOUX, B.LAPOSTOLLE, J.C.BRUNE: Contribubution du chaufagge par induction  la modernisation 
des  lignes  de  traitement  thermique  dans  les  trfileries  de  fil  dacier,  Journes  dEtude,  Versailles,  5-6  Avril 
1978 
J.P.METAIL:  Induction  moyenne  frquence  applique  au  chauffage  de  fil  -  Etude  des  paramtres  de 
rendement nergtique, Journes dEtude, Versailles, 5-6 Avril 1978 
9 / 9