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# hw12 - Comment – the short circuit impedance is important...

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EE321 Spring 2010 Homework 12 For this homework, consider a transformer. The primary side resistance and leakage inductance are 2 and 1 mH, respectively. The magnetizing inductance is 100 mH. The (referred) secondary resistance and leakage inductance are 3 and 0.5 mH. The primary to secondary turns ratio is 15. Problem 1 – Open Circuit Impedance At 60 Hz, what is the magnitude and phase of the impedance looking into the primary winding of the transformer if the secondary winding is open-circuited? Comment – the open circuit impedance is important performance metric because it can be used to calculate the current draw of the unloaded transformer. In a perfect world, this would be zero. Problem 2 – Short Circuit Impedance At 60 Hz, what is the magnitude and phase of the impedance looking into the primary winding of the transformer if the secondary winding is short-circuited?
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Unformatted text preview: Comment – the short circuit impedance is important for identifying the transformer parameters. Problem 3 – Short Circuit Impedance At 60 Hz , what is the magnitude and phase of the impedance that would be measured at the input to the secondary winding if the primary winding was short-circuited? Problem 4 – Loaded Transformer A 15 Ω resistance is placed on the secondary of the transformer. The primary voltage is 100 V rms at an angle of zero and is at 60 Hz. In the steady state, at t=5 s, what is the instantaneous voltage across and current into the 15 Ohm resistor ? Problem 5 – Transformer Frequency Response Plot the ratio of the magnitude of the referred secondary voltage to the primary voltage as the frequency is varied from 0.1 Hz to 10 kHz. Use a semi-log scale and assume that the secondary is loaded with a 15 Ω resistor as in problem 52....
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