Tuesday, 19 March 2013

DUAL SLOPE INTEGRATING TYPE DVM



Switch connected to +VM

Once VM is connected, the capacitor starts charging linearly then the output at the integrator decreases linearly. This linearly decreasing ramp is fed to inverting terminal of the zero crossing detector. Since the input at non inverting terminal is greater than inverting terminal, it produces a positive going pulse. This positive going pulse makes the gating circuit to start. Now pulses produced by the clock generator passess through gating circuit and counter count the number of pulses.
                                 t
                 VC = 1/C  ∫ I dt
                            -∞
                                 t1
                       = 1/C ∫ VM / R dt
                              0

                       =   VM / RC ( t1 – 0 )

                       =   VMt1/RC

                       =   VMT1/RC (t1 =T1)

                  V0 = -VC

                  V0 = - ( VMT1/RC )

Graphs of VC and V0




Let T1 be the time taken by the capacitor to charge to VM ie.,from 0 to t1

let NF be the number of pulses counted during T1

T1= NF tCLK (tCLK = clock period of pulses produced by the clock generator)

When the counter reaches maximum state a reset pulse is produced by the counter which automatically changes the switch from +VM to - VREF


Switch connected to –VREF

Once VREF is connected, the capacitor starts discharging linearly then the output at the integrator increases linearly. The output of ZCD is still positive, hence gating circuit is on. So the counter still counts the pulses. When voltage reaches t2 and crosses zero the input to the inverting terminal of ZCD is greater than input to the non inverting terminal the output of ZCD is a negative going pulse, which makes the gating circuit to switch off. At t2 the capacitor completely discharges.

Graphs of VC and V0


Let T2 = t2-t1 be the time taken by the capacitor to discharge completely to zero

Let n be the number of clock pulses during T2

                T2 = n tCLK
                         t2
          VC = 1/C  ∫ I dt + initial voltage
                       t1
                        t2
              = 1/C  ∫ -VREF / R dt + VMT1/RC
                      t1

              =  - VREF / RC ( t2 – t1 ) + VMT1/RC

              =- VREF / RC ( T2 ) + VMT1/RC  ( t2 – t1 = T2 )

          V0 = -VC

          V0 = VREF / RC ( T2 ) - VMT1/RC 

At t2 ,V0 =0

        VREF / RC ( T2 ) - VMT1/RC  =0
       VREF / RC ( T2 ) = VMT1/RC   


Substituting the values of T1= NFtCLK and T2= n tCLK we get
                                VM = (n VREF )/ NF
Features
1) Conversion time
   tCONV = T1 + T2
            = NFtCLK + n tCLK
Since Conversion time of this DVM is long and variable its speed is less

2) Noise rejection
As we are integrating voltage for time duration we are calculating true average value. So if an AC signal or noise is super imposed on VM,it will be averaged. Hence effect of noise is less. Therefore noise rejection is high.

3) Accuracy
As VM doesn’t depends on R and C accuracy is more




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