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Transformer Module 1 PROBLEMS

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Working Of Transformer

 The main principle of operation of a transformer is


mutual inductance between two circuits which is linked
by a common magnetic flux.
 A basic transformer consists of two coils that are
electrically separate and inductive, but are magnetically
linked through a path of reluctance.
Computation and Problem Solving
INDUCED EMF EQUATION
E = 4.44 Nfɸm
E = rms voltage induced ( volt )
N = number of winding turns
F = frequency of the flux ( Hertz )
ɸ = peak value of the flux ( weber )
Note: 1 weber = 1 𝑥 108 maxwells
ɸ = βA
Transformation Ratio
𝑉𝑝 𝑁𝑝 𝐼𝑠
a = = =
𝑉𝑠 𝑁𝑠 𝐼𝑝
Np/Ns = turns ratio
Vp/Vs = voltage ratio
Is/Ip = current ratio
Vp = voltage induced in the primary windings
Vs = voltage induced in the secondary windings
Note: A transformer is ideal if its core is loss less, has no
leakage of flux and has no copper losses.
Power Losses and Efficiency
𝑃𝑜𝑢𝑡
ɲ=
𝑃𝑖𝑛

𝑃𝑖𝑛 = 𝑃𝑜𝑢𝑡 + 𝐿𝑜𝑠𝑠𝑒𝑠

𝑃𝑜𝑢𝑡 = 𝑉𝐼𝑝𝑓

𝐿𝑜𝑠𝑠𝑒𝑠 = 𝑃𝑐𝑜𝑟𝑒 + 𝑃𝑐𝑜𝑝𝑝𝑒𝑟

𝑃𝑐𝑢 = 𝐼 2 𝑅
Problem # 1
The net cross section of a transformer is 20 square meter.
The maximum flux density is 11 kilogausses. The frequency
is 60 hz. If there are 1000 turns in the primary, determine
the induced emf.
Problem # 2
Calculate the total magnetic flux in a 60cycle transformer
in which the induced emf per turn of the winding is equal
to 2 V.
Problem # 3
The low side of a certain welding transformer has 2 turns
and delivers 300 A. if the high voltage side has 30 turns,
how much current flows through it?
Problem # 4
A single-phase transformer is rated 4160 V primary and
250 V secondary. If has 1500 turns in the primary and a
voltage regulation of 8%. What should be the number of
turns in the secondary winding?

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