The 240V output of a transformer secondary
winding is fed in to a 25Ω
load
Step one- find the important
information from above-
·
We know that 240v
is the voltage and 25Ω
so these are the first two bits of data we will put in our key (see below)
Then
we have to use our formula to find the current
Voltage- 240V
Resistance- 25Ω V
Current= 9.6A voltage = I x R
240/25= 9.6 I x R Current = V/R
Resistance = V/I
Using this
formula we have worked out that the current is 9.6A ( see in green above)
Now you can work out the
questions:a) Calculate the power in the loadb) if the primary voltage is 400V calculate the current
Slide 2
a) Calculate the power in the load.Power = V x IP = 240 x 9.6= 2,304 WP= 2304Wb) If the primary voltage is 400V calculate the primary currentStep one-· From the question above we know that to find the Power we have to multiply the voltage by the current which gives us 2304W· We can now use this information to find the primary current. We have to rearrange the formula. We know that if you divide 2304W by the secondary voltage of 240v it gives us the secondary current of 9.6A (all information that you have been provided with) We know that the primary voltage is 400V so in order to find the primary current we divide the power (2304W) by the primary Voltage (400v) 2304/400= 5.785A 5.76A is the current
Slide 3
Question1
The 300V output of a
transformer secondary winding is fed in to a 35Ω load- find the important information, put it in a key and find the missing information before answering the question
Voltage- 300V
Resistance- 35Ω
Current= 8.6A
voltage = I x R
300/35= 8.6 Current = V/R
Resistance = V/I Now we know the current we can go on to answer the questions:a) calculate the power in the loadb) if the primary Voltage is 400V calculate the primary currentc) The secondary is wound with 340 turns, how many turns
are there on the primary. d) The primary voltage falls to
391 volts. How many turns need to be added to the secondary to maintain an
output of 300V
Slide 4
a) Calculate the power in the load.Power = V x IP = 300 x 8.6=2580 WP= 2580W b) If the primary voltage is 400V calculate the primary currentREMEMBER we do the opposite of the above equation (divide not multiply)2580/ 400 = IpIp= 6.5A
Slide 5
a) The secondary is wound with 340 turns, how many turns
are there on the primary.
Primary voltage= Vp
Vp= 400
Vs= 300
VP Np
Vs = Ns VP x Ns =NP
Ns= Secondary turns= 340 Vs
400 NP 400 x 340 = Np 453 (turns on primary)
300 340 300
Slide 6
d) The primary voltage falls to
391 volts. How many turns need to be added to the secondary to maintain an
output of 300V
Vp= 391
Vs=300
Np=453
Ns=?
Ns= Vs x Np 300 x 453 Ns= 348 turns
Vp 391
453-348= 105 turns to be added
Slide 7
A
33kV to 11kV transformer carries 4.54A in the primary winding. There are 425
turns on the secondary winding.
a)
Calculate the secondary current.
To calculate the
secondary current-
Step one: identify what we already know.
Step two: we have Ns, Ip, Vp and Vs.
Step three: we know Vp=Is
Vs=Ip
Step four: so we have
to re arrange the formula to find Is
Step 5: our new
equation is Vp x IP
Vs
Step 6: 33kV x
454A = 33 (x 10 to the power of 3) x 4.54
11KV 11(x 10 to the power of 3)
Step 7: Is =13.62A
Slide 8
a)
Calculate the number of turns on the primary.
Step one: identify what we already know- write out the formula!
Step two: write out that –
Ns= 425 turns
Np=?
Vp= 33kV
Vs= 11kV
Ip= 4.54 A
Is= 13.62A
Step three: we know that Np = Vp = Is
Ns = Vs =Ip
Step four: in order to find Np we
have to rearrange the formula
Vp xNs = 33 x 425 = 1,275
Vs 11 Step five: Np = 1,275
Slide 9
C)
The power consumed in
the secondary.
Step one: Formula for power is V x I
So formula
for secondary power is Vs x Is
Step two: Vs x Is =Ps 11 x
13.62 (times voltage to 10 to the power of 3)
Step three: Ps =14982W- 149.82kW
Slide 10
D) The input voltage rises to 33.156kV, how many turns have to be removed from the secondary winding to maintain the output at 11KvVP= 33.156kVVs= 11kVNp= 1275 turnsNs=?Ip= 4.54Is=13.62AWork out what formula we need! Use previous questions for help if you need it. We know to find the number of primary turns we use Vp x Ns Vs To find out number of secondary turns we can think about the above equation and invert it. Vs x Np = 11(x 10 to the power of 3) x 1275 Vp 33.156(x 10 to the power of 3) = 423 turns Ns =423 turn so 2 turns need to be taken away
Slide 11
Question1
Np Vp Is
Ns = Vs = Ip
A power station transformer
converts 25kv to 400kv ready for transmission via the national grid.
a) Calculate the turns ratio of the transformer.
To calculate the turns ratio of a transformer you divide Vs by Vp
400kV = 1:16
25kV
Slide 12
b) Calculate the primary
current if the secondary current is 25A.
To calculate the primary current we have to establish what we know:
Vp=
25kV
Vs= 400kV
Is= 25A
Ip=400A
We also know that Vp is the same as Is so
25kV
Vs Ip 400kV
Therefore
Ip = 400kV
Slide 13
C) The power consumed in the secondary.
Power =V x I
Secondary power = Vs x Is
400 x 25 = 100000kW
To change from kW to MW you have to divide the answer by 1000
(or 10to the power -4)
= 10MWd) The output power measured by
a wattmeter is found to be 9.75MW what is the efficiency of the transformer.
Efficiency = output / Input
Efficiency= 9.75 / 10
Efficiency =0.975
Efficiency %= 97.5%
Quer criar seus próprios Slidesgratuitos com a GoConqr? Saiba mais.