Showing posts with label DIODES. Show all posts
Showing posts with label DIODES. Show all posts

DIODE SWITCHING TIMES



To understand the various switching times, consider simple diode circuit and an input waveform as shown in the Fig.

                                                           Simple diode circuit      

                                              
The following events will take place due to the nature of the applied voltage  

Event  1:  Till  time t the forward voltage  applied  is VF  and  diode  is  forward  biased. The value of R is  large enough such that drop across forward biased diode is very     small  compared to  drop across  R. The forward current  is then
neglecting
forward resistance of diode.


Event 2: At time t the applied voltage is suddenly reversed and reverse voltage of -
VR  is  applied  to  the  circuit.  Ideally  diode  also  must  become  OFF  from  ON  state instantly. But this does not happen instantly.


The number of minority carriers take time to reduce from p no to zero at the junction Due to this, at t1 current just reverses and remains at that reversed value IR till the minority carrier concentration reduces to zero. This current is given by -IR = -VR / R. This continues to flow till time t


Event3: From t onwards, the diode voltage starts to reverse and the diode current
starts  decreasing  as  shown  in  the  Fig.  At  t  =  t;  the  diode  state  completely  gets reversed and attains steady state in reverse biased condition.

The total time required by the diode which is the sum of storage time and transition     time, to recover completely from the change of state is called reverse recovery time
of  the  diode  and  denoted  as  trr.  This  is  an  important  consideration  in  high  speed switching applications.


The reverse recovery time depends on the RC time constant where C is a transition capacitance of a diode. Thus the transition capacitance plays an important role in the switching  circuits  using  diodes.The  total  switching  time  trr  puts  the  limit  on  the maximum  operating  frequency  of  the  diode.  Hence  trr  is  an  important  datasheet specification.  To  minimize  the  effect  of the reverse  current,  the  time  period  of  the operating frequency must be at least ten times trr.




where fmax is the maximum operating frequency.

SWITCHING CHARACTERISTICS OF DIODE



  • When  diode  is  switched  from  forward  biased  to  the  reverse  biased  state  or viceversa, it takes finite time to attain a steady state.

  • This  time  consists  of  a  transient  and  an  interval  of  time  before  the  diode attains  a  steady  state.  The  behavior  of  the  diode  during  this  time  is  called switching characteristics of the diode.

  • In  the forward-bias state, there are a large number of electrons from the n
  • side  diffusing  into  p  side  and  a  large  number  of  holes  diffusing  into  n  side from  p  side.  This  diffusion  process  establishes  a  large  number  of  minority carriers in each material.

  • When forward biased, let n is concentration of electrons on p side at thermal equilibrium and p is concentration of holes on n side thermal equilibrium. This is concentration level far away from the junction.

  • It  increases  towards  the  junction  and  becomes  n  and  Pn  on  p  and  n  side respectively in steady state. These minority charge carriers are supplied from  other side of the junction, where those carriers are majority in number.

  • When  the  diode  is  reverse  biased,  again  far  from  the  junction  the  minority charge concentration is n on p side and Pno on n side.

  • In reverse biased condition, as they approach the junction, they quickly cross     the  junction.  Hence  minority  carrier  concentration  decreases  to  zero  at  the junction in steady state. This is .shown in the Fig.



  • Now when  a  forward  biased  diode is  suddenly reverse  biased, it  takes  finite time  to  change  the  minority  charge  carrier  concentration  and  to  attain  new steady state value.

  • The   diode   can   not   attain   steady   state   till   the   minority   charge   carrier concentration changes from that corresponding to the forward biased to that corresponding to the reverse biased.


  • Till the excess charge carrier concentration pn-pno and np-npo reduces to zero, the diode continues to conduct. This current is decided by the current limiting external resistance connected in the circuit.

  • Hence in switching applications, the time required by the diode to attain new steady state, plays an important role.

COMPLETE V-I CHARACTERISTICS OF A DIODE



 The complete V-I characteristics of a diode is the combination of its forward as well as reverse characteristics.

In forward characteristics, it is seen that initially forward current is small as long as the bias voltage is less than the barrier potential.


At  a certain  voltage close to  barrier  potential, current increases rapidly.  The voltage  at  which  diode  current  starts  increasing  rapidly  is  called  as  cut  in voltage. It is denoted by V

Below this voltage, current is less than 1% of maximum rated value of diode current. The cut-in voltage for germanium is about 0.2V while for silicon it is 0.6 V.

The  voltage  at  which  breakdown occurs  is  called  reverse  breakdown  voltage denoted as VBR




REVERSE BIASED DIODE



The Fig shows the reverse bias diode. The reverse voltage across the diode VR    while  the  current  flowing  is  reverse  current  ‘R  flowing  due  to  minority  char carriers. The graph of ‘R against VR is called reverse characteristics of a diode.

As reverse voltage is an increased, reverse current increase initially but after
a  certain  voltage,  the  current  remains  constant  equal  to  reverse  saturation current 10 though reverse voltage is increased.


The point A where breakdown occurs and reverse current increase rapidly is called knee of the reverse characteristics.



FORWARD RESISTANCE OF A DIODE



The resistance offered by the p-n junction diode in forward biased condition is called forward resistance. The forward resistance is defined in two ways

1) Static Forward Resistance

This is the forward resistance of p-n junction diode when p-n junction is used in d.c. circuit and the applied forward voltage is d.c. This resistance is denoted as RF and is calculated at a particular point on the forward characteristics.

Thus at a point E shown in the forward characteristics, the static resistance RF is defined as the ratio of the d.c. voltage applied across the p-n junction to the d.c. current flowing through the p-n junction.
RF = Forward d.c. voltage/Forward d.c. current  RF =OA/OC    at point E




2) Dynamic forward resistance


The resistance offered by the p-n junction under a.c. conditions is called dynamic resistance denoted as rf.
Consider the change in applied voltage from point A to B shown in the Fig. 1.18. This  s denoted as AV. The corresponding change in the forward current is from point C to D. I is denoted as J. Thus the slope of the characteristics is t\l/AV. The reciprocal of the e is dynamic resistance rf.

rf = V/ I

=1/slope of forward characteristics



THE VOLT-AMPERE (VI CHARACTERISTICS OF A DIODE)



The response of a diode when connected in an electrical circuit, can be judged   from its characteristics known as Volt-Ampere commonly called V-I    characteristics.  The  V-I  characteristics  in  the  forward  biased  and  reverse biased  condition  is  the  graph  of  voltage  across  the  diode  against  the  diode current.

The   response   of   p-n   junction   can   be   easily   indicated   with   the   help   of characteristics  called  V-I  characteristics  of  p-n  junction.  It  is  the  graph  of voltage applied across the p-n junction and the current flowing through the p-
n junction.

The applied voltage is V while the voltage across the diode is Vf. The current flowing in the circuit is the forward current I. The graph of forward current If against the forward voltage Vf across the diode is called forward characteristics of a diode.

Basically forward characteristics can be divided into two regions

1. Region 0 to P As long as Vf is less than cut-in voltage (V , the current flowing is very small. Practically this current is assumed to be zero.

2. Region P to Q and onwards: As V increases towards V the width of depletion  region goes on reducing. When Vf exceeds V i.e. cut-in voltage, the depletion region becomes very thin and current I increases suddenly. This increase in the current is exponential as shown in the Fig. by the region P to Q.

                                                                Forward biased diode

The point P, after which the forward current starts increasing exponentially is called knee of the curve.




THE P-N JUNCTION DIODE



  • The PN junction is formed of the P type and N type semiconductor material.

  • In P type, the holes are the majority charge carriers

  • In N type material, the electrons are the majority charge carriers.

  • Therefore at the junction there is a tendency for the free electrons to diffuse over to the P-side and holes to the N-side. This process is called diffusion.

  • The diffusion of holes and free electrons   is due   to the difference   in concentration of the two regions.

  • This  difference  in  concentration  creates  a  concentration  gradient  across  the junction.

  • Due to the process of diffusion the negative acceptor ions in the P region and positive  donor  ions  in  the  N region  are  left  uncovered  in  the  vicinity  of  the junction as seen in

  • The  additional  holes,  trying  to  diffuse  to  the  N-region,  are  repelled  by  the uncovered positive charge of the donor ions.

  • Similarly, the electrons trying to diffuse into the P-region are repelled by the uncovered negative charge of the acceptor ions.

  • Thus   a   barrier  is   set   up   near  the   junction,  which   prevents   the   further movement  of  charge  carriers.  This  is  called  as  potential  barrier  or  junction barrier V0.

  • As a result, further diffusion of free electrons and holes across the junction is stopped.

  • The region containing the uncovered acceptor and donor ions, in the vicinity of the junction is called depletion region.

  • Since  this  region  has  immobile  ions,  which  are  electrically  charged,  the depletion region is also known as space-charge region.

  • The  width  of  the  depletion  layer  depends  upon  the  doping  level  of  the impurity in N-type or P-type semiconductor.

  • The higher the doping level, the thinner will b e the depletion layer and vice versa.

  • The  depletion  layer  consists  of  fixed  rows  of  oppositely  charged  ions  on  its two sides.

  • Because  of this  charge separation,  an electric potential is  established  across the junction, even when no external voltage being applied.

  • This electric potential is called junction or potential barrier.



WORKING AND VI CHARACTERISTICS: UNDER FORWARD BIAS CONDITION:

When  positive  terminal  of  the  battery  is  connected  to  P-type  and  negative terminal  to  N-type  of  the  PN  junction  diode,  the  bias  applied  is  known  as  forward bias.




  • Under  forward bias,  the  applied  positive  potential  repels  the holes  in  P-type region so that the holes move towards the junction.

  • The  applied  negative  potential  repels  the  electrons  in the N-type  region  and the electrons also move towards the junction.

  • Eventually, when the potential applied exceeds the internal barrier potential, the depletion region and internal potential barrier disappear.


                                               V/I characteristics under forward bias condition

As  forward  voltage  increases,  for  VF  <  V0  (potential  barrier),  the  forward current  I  is  almost  zero,  because  the  potential  barrier  the  potential  barrier prevents the flow of electrons and holes across the depletion region from N

and P regions respectively.

For VF >V0, the potential barrier is overcome and current increases rapidly.
Cut-in or threshold voltage: Below which the current is very small and at the cut-
in  voltage  the  potential  barrier  is  overcome  and  the  current  through  the  junction starts to increase rapidly




UNDER REVERSE BIAS CONDITION:

When  the  negative  terminal  of  the  battery  is  connected  to  the  P-type  and positive terminal of the battery is connected to N-type of the PN junction, the    bias applied is known as reverse bias.


                                                            Under reverse bias condition


                          

  • Under  reverse  bias  condition, holes  from  P  side  move  towards the  negative terminal of the battery.

  • The electrons  from N  side  are  attracted towards  the  positive  terminal of the battery.

  • Hence the width of the depletion region increases.

  • The  resultant  potential  barrier  also  increases,  which  prevents  the  flow  of majority charge carriers in both directions.

  • Theoretically, no current should flow in the external circuit.

  • But in practice, a very small current flows under reverse bias condition.

  • Due to the  absorption of energy by the electrons cause the breaking of the covalent bonds.

  • This results in the generation of electron-hole pairs.

  • The thermally generated charge carriers cross the junction and giving rise to what is known as reverse saturation current.

  • For large  applied  reverse  bias,  avalanche  effect  takes place, leading  to  very large reverse current.

  • This leads to the breakdown of the junction.
  • Breakdown voltage: The reverse voltage at which the junction breakdown occurs is called breakdown voltage.






                                            V/I characteristics under reverse bias condition



BREAKDOWN IN REVERSE BIASED

Though   the   reverse   saturation   current   is   not   dependent   on   the   applied reverse voltage, if reverse voltage is increased beyond particular value, large reverse    current  can  flow  damaging  the  diode.  This  is  called  reverse  breakdown  of  a diode. Such a reverse breakdown of a diode can take place due to the following two effects,

1. Avalanche effect and
2. Zener effect


BREAKDOWN DUE TO THE AVALANCHE EFFECT

Though  reverse  current  is  not  dependent  on  reverse  voltage,  if  reverse voltage is increased, at a particular value, velocity of minority carriers increases. Due
to the kinetic energy associated with the minority carriers, more minority carriers are generated  when  there  is  collision  of  minority  carriers  with  the  atoms.  The  collision makes  the  electrons  to  break  the  covalent  bonds.  These  electrons  are  available  as minority carriers and get accelerated due to high reverse voltage. They again collide

with another atom to generate more minority carriers. This is called caner
multiplication.  Finally  large  number  of  minority  carriers  move  across  the  junction, breaking the p-n junction. These large number of minority carriers give rise to a very     high  reverse  current.  This  effect  is  called  avalanche  effect  and  the  mechanism  of destroying the junction is called reverse breakdown of a p-n junction. The voltage at    which the  breakdown  of  a p-n  junction  occurs is  called reverse  breakdown  voltage. The  series  resistance  must  be  used  to  avoid  breakdown  condition,  limiting  the reverse current.



BREAKDOWN DUE TO THE ZENER EFFECT

The breakdown of a p-n junction may occur because of one more effect called zener  effect.  When  a  p-n  junction  is  heavily  doped  the  depletion  region  is  very narrow. So under reverse bias conditions, the electric field across the depletion layer
is  very  intense.  Electric  field  is  voltage  per  distance  and  due  to  narrow  depletion region and high reverse voltage, it is intense. Such an intense field is enough to pull
the electrons out of the valence bands of the stable atoms. So this is not due to the collision of carriers with atoms. Such a creation of free electrons is called zener effect which is different than the avalanche effect. These minority carriers constitute very     large current and mechanism is called zener breakdown.


The  breakdown  effects  are  not  required  to  be  considered  for  p-n  junction diode. These effects  are  required to be  considered  for special  diodes such as  zener diode as such diodes are always operated in reverse breakdown condition.

HYSTERESIS MOTOR DEFINITIONS

HYSTERESIS MOTOR 

This is the synchronous motor which does not require any d.c. excitation to the rotor and it uses non projected poles.It consists of a stator which carries main and auxiliary windings so as to produce rotating magnetic field. The stator can also be shaded pole type. The rotor is smooth cylindrical type made up of hard magnetic material like chrome steel or alnico for high retentivity.This requires selecting a material with high hysteresis loop area. The rotor does not carry any winding.The construction is shown in the Fig. 7.4 (a) while nature of hysteresis loop required for rotor material.

(a) Cross-sectional view of hysteresis motor   (b) Hysteresis loop for rotor material












  •     When stator is energized, it produces rotating magnetic field. The main and both the winding must be supplied continuously at start as well as in running core as to maintain the rotating magnetic field.
  •     This field induces poles in the hysteresis phenomenon is dominant for the rotor material chosen and due to which pole axis lag behind the axis of rotating magnetic field. Due to this, rotor poles get a towards the moving stator field poles.
  •     Thus rotor gets subjected to torque called hysteresis torque. This torque is constant at all speeds. When the stator field axis moves forward to high retentivity the rotor pole strength remains maintained.


  •     So higher the r higher is the hysteresis torque. Initially rotor starts rotating due to combined effect of hysteresis torque as well a due to eddy currents induced in the rotor. Once the speed is near about the synchronous stator pulls rotor into synchronism.
  •     In such case, as relative motion between stator field rotor vanishes, so the torque due to eddy currents vanishes.     Only hysteresis t present which keeps rotor running at synchronous speed. The high retentivity ensures continuous magnetic locking between stator and rotor.
  •     Due to principle of magnetic I the motor either rotates at synchronous speed or not at all.

MATHEMATICAL ANALYSIS

  •     The eddy current loss in the machines is given by,




  •     We know the relation between rotor frequency f and supply frequency f,





  •     The torque due to eddy currents is given by





  •     So when rotor rotates at synchronous speed, the slip becomes zero and torque eddy current component vanishes. It only helps at start.
  •     The hysteresis loss is given by,




  •     The corresponding torque is given by,








TORQUE-SPEED CHARACTERISTICS
  •     The starting torque and running torque is almost equal in this type of motor.
  •     As stator carries mainly the two windings its direction can be reversed by interchanging the terminals of either main winding or auxiliary winding.

  •     The torque-speed characteristic is as shown in the Fig. 7.5.



 
                                Fig. 7.5 Torque characteristics of hysteresis motor
  •     As seen from the characteristics torque at start is almost same throughout the operation of the motor.

    Advantages
  •     The advantages of this motor are:
  •     As rotor has no teeth, no winding, there are no mechanical vibrations.
  •     Due to absence of vibrations, the operation is quiet and noiseless.
  •     Suitability to accelerate high inertia loads
  •     Possibility of multi speed operation by employing gear train.

    Applications
  •     Due to noiseless operation it is used in sound recording instruments, sound producing equipments, high quality record players, tape recorders, electric clocks, teleprinters, timing devices etc.

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