An assessment of the quality of the electrical power system in Turkey was the topic of an article published in Electrical Engineering (Mar. 2013). One measure of quality is the degree to which voltage fluctuations cause light flicker in the system. The perception of light flicker x when the system is set at 380 kV was measured periodically (over 10-minute intervals). For transformers supplying heavy industry plants, the light flicker distribution was found to follow (approximately) a normal distribution with u= 2.2% and o =0.5%. Suppose if the perception of light flicker exceeds 3.2%, the transformer is shut down and the system is reset. How likely is it for a transformer supplying a heavy industry plant to be shut down due to light flicker? The probability that a transformer supplying a heavy industry plant has to be shut down due to light flicker is (Round to four decimal places as needed.)

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**Assessment of Electrical Power System Quality in Turkey**

An evaluation of the electrical power system quality in Turkey was the subject of an article published in *Electrical Engineering* (March 2013). One measure of quality is the extent to which voltage fluctuations cause light flicker. The perception of light flicker \( x \), when the system operates at 380 kV, was measured periodically (in over 10-minute intervals). For transformers supplying heavy industry plants, the distribution of light flicker was determined to follow an approximate normal distribution with a mean (\( \mu \)) of 2.2% and a standard deviation (\( \sigma \)) of 0.5%.

Suppose the light flicker perception surpasses 3.2%; in such a case, the transformer is shut down and the system reset. What is the likelihood of a transformer supplying a heavy industry plant needing to be shut down due to light flicker?

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**Calculation**

The probability that a transformer supplying a heavy industry plant has to be shut down due to light flicker is \[ \boxed{} \] (Round to four decimal places as needed).
Transcribed Image Text:**Assessment of Electrical Power System Quality in Turkey** An evaluation of the electrical power system quality in Turkey was the subject of an article published in *Electrical Engineering* (March 2013). One measure of quality is the extent to which voltage fluctuations cause light flicker. The perception of light flicker \( x \), when the system operates at 380 kV, was measured periodically (in over 10-minute intervals). For transformers supplying heavy industry plants, the distribution of light flicker was determined to follow an approximate normal distribution with a mean (\( \mu \)) of 2.2% and a standard deviation (\( \sigma \)) of 0.5%. Suppose the light flicker perception surpasses 3.2%; in such a case, the transformer is shut down and the system reset. What is the likelihood of a transformer supplying a heavy industry plant needing to be shut down due to light flicker? --- **Calculation** The probability that a transformer supplying a heavy industry plant has to be shut down due to light flicker is \[ \boxed{} \] (Round to four decimal places as needed).
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