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Published byMerilyn Carter Modified over 9 years ago
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Khoo Yihan | Chua Cong Yang | Park Seong Jin
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Electricity is generated in power stations at 11000V to 33000V and then stepped up to 400000V by transformers. 400000V fed into the grid why so high voltage? Power from the grid is stepped down in successive stages at substations and distributed to different consumers.
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Electrical power is generally transmitted: Using alternating current Very high voltage
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Used because the voltage can be stepped up and down easily, cheaply and efficiently using a transformer Recall how a transformer works Stepping up/down of current relies on the change in magnetic flux Induced current will stop if there is no change (in the case of a DC circuit) AC will continually ‘open and close’ the circuit by continually changing the magnetic field
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Problem faced: Electrical power from power stations lose power due to the heating effect of current in the grid cables Heat lost is given by P = VI = I 2 R where I is the transmission current and R is the resistance of the cables. With high voltage, power lost is minimum.
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To reduce resistance, thick cables can be used (cross-sectional area increases), but this is very uneconomical and heavy to use. Step up the current in transformers instead
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Question: Find the power wasted per km as internal energy in the cable when 10/ MW is transmitted through a cable of resistance 1 Ω per km (a) at 10kV (b) a 200kV
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(a) P = VI Transmission current I = P/V = 10 7 W / 10 4 V = 1000 A Power loss per km Ω = I 2 R = (1000) 2 x 1 = 10 6 W This is equivalent to almost 10% of the power generated at the power station
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(b) Transmission current I = P/V = 10 7 W/ 2x10 5 V = 50 A Power loss per km = I 2 R = (50) 2 x 1 = 2500 W The power loss would only be about 0.025% of the power generated at the power station
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