Q5 Flashcards

1
Q

Q5. slide 1 main ideas

A
  • difference with diode rectifiers
  • output voltage in thyristor converter
  • firing angle
  • circuit example
  • thyristor operation
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2
Q

difference between diode rectifiers and thyristor converters

A

Average output voltage of thyristor converter can be controlled by delaying the instant at which gate pulse is applied

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3
Q

Firing angle definition

A
  • instant at which gate pulse is applied from the instant wt=0
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4
Q

Q5. slide 1 explain circuit operation

A
  • firing angle can range between wt=0 up to wt=pi, when thyristor is forward biased
  • after the gate pulse is applied thyristor starts conducting and output voltage is equal to input voltage, behaves like a diode
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5
Q

Q5. slide 2 main ideas

A
  • Introduce figure
  • Two modes of operation
  • Condition for CCM and DCM
  • Infinite inductance assumption
  • describe waveforms: input source I, phase lag of I, output voltage
  • average output voltage calculation
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6
Q

Q5. slide 2 describe circuit and modes of operation

A
  • single-phase full wave PCR with RL load
  • this circuit has two modes of operation: CCM and DCM
  • mode of operation depends on time constant L/R
  • If time constant is large output I never goes to zero and converter operates in CCM
  • If L is assumed infinite, the rectified load I can be replaced by constant I source
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7
Q

Q5. slide 2 describe voltage and I waveforms

A
  • For a given firing angle
  • magnitude of input I is constant and + when T1 and T2 are conducting and negative when T3 and T4 conduct.
  • Input I lags input voltage by phase angle equal to firing angle.
  • Output voltage is negative of input voltage in the interval wt=0 to alpha, since T3 and T4 are conducting
  • Output voltage is equal to input voltage after firing angle.
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8
Q

Q5. slide 2 how to calculate average output voltage

A
  • integrate sinusoidal wave from alpha to pi+alpha, and divide by period pi.
  • average output voltage is a function of alpha and can take negative values
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9
Q

Q5. slide 3 main ideas

A
  • firing angle will reduce average output voltage compared to diode rectifier
  • if firing angle is below 90° output voltage will be positive
  • if firing angle is higher than 90° output voltage will be negative
  • THD calculation
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10
Q

Q5. slide 3 how to calculate THD for PCR with infinite inductive load

A
  • we have to find total rms of input I and rms of fundamental component
  • rms of input I is equal to output I
  • by Fourier analysis we can obtain rms value of fundamental component of I current as 0.9 times output I
  • we obtain a THD of 48.43%
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11
Q

Q5. slide 4 main ideas

A
  • calculate P as Vs*Is1 times cosine of firing angle, considering that power consumed by the load is caused by fundamental component of I
  • Calculate reactive power due to fundamental component of I
  • Calculate aparent power using fundamental component of I
  • calculate PF as P/S1
  • calculated total aparent power and distorted PF
  • we can see PF will be maximum when firing angle is 0 or 180°, and zero when firing angle is 90°
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12
Q

Why only fundamental component of I is used for power calculation

A
  • Because product of sinusoidal waveforms of different frequencies has zero average value, therefore P delivered to load is due to only fundamental component of I
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13
Q

Q5. slide 5 main ideas

A
  • Main effect of Ls
  • Operation during interval 0 to alpha
  • Operation during alpha to alpha + u
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14
Q

main effect of Ls in PCR

A

current commutation between two pair of thyristors takes a finite commutation time u

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15
Q

Q5. slide 5 explain commutation process in the interval 0, alpha

A
  • between wt=0 to alpha, T3 ad T4 are conducting
  • voltage across Ls is zero
  • output voltage is equal to negative of input voltage.
  • Input I is the negative of output I
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16
Q

Q5. slide 5 explain commutation process in the interval alpha, alpha+u

A
  • At wt=alpha, gate signal is applied to T1 and T1, and they start conducting.
  • Input I doesn’t change from -Io to Io instantaneously due to Ls.
  • During this interval all thyristors are conducting and output voltage is zero
  • I through T3 and T4 decreases from Io to 0.
  • I through T1 and T2 increases from 0 to Io.
17
Q

Explain operation in the interval wt>alpha+u

A
  • when commutation interval finishes T3 and T4 turns off and T1 and T2 remain on
  • output voltage equals input voltage and input I equals output I until the next cycle at t=pi+alpha
18
Q

How to calculate commutation interval in PCR circuit

A
  • we use equation of voltage across source L
  • it is equal to input voltage during commutation interval
  • we integrate left side of this equation from alpha to alpha+u, and right side from -Io to Io
  • obtain the expression and solve for commutation time
19
Q

How to calculate average output voltage in PCR with source inductance

A
  • Use the average output voltage for the case when Ls was zero
  • then substract the area Au that is lost due to commutation time
  • divide by the period pi