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An ideal transformer is linear, lossless and perfectly coupled. Perfect coupling implies infinitely high core magnetic permeability and winding inductance and zero net magnetomotive force (i.e. i p n p − i s n s = 0). [3] [c] Ideal transformer connected with source V P on primary and load impedance Z L on secondary, where 0 < Z L < ∞.
Darlington gives an equivalent transform that can eliminate an ideal transformer altogether. This technique requires that the transformer is next to (or capable of being moved next to) an "L" network of same-kind impedances. The transform in all variants results in the "L" network facing the opposite way, that is, topologically mirrored. [2]
Transformer oil is flammable, so oil-filled transformers inside a building are installed in vaults to prevent spread of fire and smoke from a burning transformer. Some transformers were built to use fire-resistant PCBs , but because these compounds persist in the environment and have adverse effects on organisms, their use has been discontinued ...
To match the impedances, both cables must be connected to a matching transformer with a turns ratio of 2:1. In this example, the 300-ohm line is connected to the transformer side with more turns; the 75-ohm cable is connected to the transformer side with fewer turns. The formula for calculating the transformer turns ratio for this example is:
An ideal gyrator is similar to an ideal transformer in being a linear, lossless, passive, memoryless two-port device. However, whereas a transformer couples the voltage on port 1 to the voltage on port 2, and the current on port 1 to the current on port 2, the gyrator cross-couples voltage to current and current to voltage.
For an ideal transformer operating under ideal conditions, I s = I p /N, V s = N×V p. L p, primary (self-)inductance, a value determined by the number of primary turns N p squared, and an "inductance factor" A L. Self-inductance is often written as L p = A L ×N p 2 ×10 −9 henries. [1] R, combined switch and primary resistance
Real transformer equivalent circuit. One case of voltage regulation is in a transformer. The unideal components of the transformer cause a change in voltage when current flows. Under no load, when no current flows through the secondary coils, V nl is given by the ideal model, where V S = V P *N S /N P.
The ratio of the voltage bases on either side of a transformer is selected to be the same as the ratio of the transformer voltage ratings. With these two rules, a per-unit impedance remains unchanged when referred from one side of a transformer to the other. This allows the ideal transformer to be eliminated from a transformer model.
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