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Overview of lectures in this series Introduction and motors (Oct. 3) 2. Motors and generators (Oct. 10) 3. Distribution and use of electricity (Oct. 17) 4. Wind power and dissipation (Oct. 24) 5. Heat engines 1 (Oct. 31) 6. Heat engines 2 (Nov. 7) 7. Nuclear generation (Nov. 14) 8. Solar power – thermal and electric (Nov. 21) 9. Fuel cells (Dec. 5) 10. Summary, Consumption and the future (Dec. 12) 1. http://kicp.uchicago.edu/~switzer/ Distribution and use of electricity COMPTON LECTURE 3: OCTOBER 17, 2009 ERIC SWITZER “I shall make electricity so cheap that only the rich can afford to burn candles.” – Thomas A. Edison “Conspicuous consumption of valuable goods is a means of reputability to the gentleman of leisure.” – Thorstein Veblen Lec. 1 and 2: Generators and motors Flux = area*magnetic field (B)*cos(angle) The start of an age Paris, 1878 Zenobe Gramme’s AC dynamos powered Yablochkov arc lamps along Avenue de l’Opera and the Place de l’Opera for the 1878 Paris Expo. Image: wikipedia Early use Early systems were heterogeneous: different voltages, AC, DC, standards First uses: street cars (several hundred volts), arc street lamps (several thousand volts), Edison bulbs (100 volts). Low voltage generators close to consumers (distributed generation) Arc lamps in Berlin by Carl Saltzmann, 1884 Image: wikipedia The utility The first large low-voltage public utility was Edison’s Pearl Street Station in New York City, which, in 1882 served 110 volts and 400 amps DC to 85 customers in a one mile radius. The first large high-voltage public utility was the California Electric Company (PG&E) in San Francisco in 1879, which sold DC power for arc lights. San Jose’s Eiffel tower: a flood light (reproduced in Low Tech magazine) DC vs. AC AC-DC schism Tesla was the strongest early advocate of AC power and had a falling-out with Edison and joined Westinghouse. Thus began the war of currents. The war of currents was brutal, and Edison even sought to demonstrate the dangers of AC by electrocuting animals, coining a new term for electrocution, “Westinghoused”. It was not until 2007 that ComEd stopped its NYC DC service. Today DC is used in transmission applications where reactance (line inductance and capacitance) or power transmission between synchronous AC grids is a consideration. Images: wikipedia, U.S. DoI, NPS, Edison National Historic Site AC-DC schism Chicago, Jackson Park, 1893 Images: wikipedia A decisive moment for AC versus DC power occurred at the World’s Columbian Exposition in Hyde Park’s Midway and Jackson Park in 1893. General Electric (backed by Edison and J. P. Morgan) bid for DC power, while Westinghouse (through Tesla) bid for AC power. Westinghouse won the bid, but in retaliation, Edison and GE banned Edison’s patented bulbs. Gulliver’s AC vs. DC? Lilliput: crack eggs from small end Blefuscu: crack eggs on the big end AC vs. DC, the same? An emphatic NO! Why we have AC 2 P=IV=V /R Joule power and Ohm’s law Faraday’s law of induction Why we have AC Let’s unpack this… Pressure A pressure difference drives a flow Image: wikipedia Ohm’s law Another way to say this: the drop in pressure/voltage is the flow/ current times the resistance: ΔV = IR Images: wikipedia, hyperphysics Currents and pipes Resistors do not eat electrons! Current, flow are conserved (there are no leaks). Voltage, pressure can change. Loads in a circuit drop the voltage. Images: hyperphysics Power Voltage (V): energy per unit charge Current (I): charge per unit time Voltage times current is energy per unit time Energy per unit time is power (P)! (Watts) P=I(ΔV) Joule loss P=I(ΔV)=(ΔV)2/R Using: ΔV = IR Net power into lattice vibrations = heating the wire Image: wikipedia sunburn visible Aside: Why not to use incandescent bulbs Image: wikipedia heat AC vs. DC Back to the problem at hand: why AC? Power delivered: a simple example 500 kV wire carries 1 kA of current and has 25 Ω resistance. The total power transmitted at the generating end is P = I V = 500 MW. The voltage drop across the transmission line is 25 kV, so at the receiving end one has 475 kV. The total power lost is 25 MW. (a 5% loss). Suppose same generator power, but 125 kV. In this case, the current must be 4 times larger to produce the same power. The Joule loss is then 400 MW, or (400 MW)/(500 MW) = 80%. Only 20% of the power reaches the consumer! How high a voltage: very high! 154,000 miles of AC transmission lines in the US, roughly half of which carry 230 kV, while the other half carry 345 kV, 500 kV, 765 kV. Roughly 6 times that length is found in overhead distribution lines. The Eastern interconnection has been dubbed, “the largest machine in the world”. DC “interties” Steel-reinforced, uninsulated aluminum. IEEE Electripedia Superconductors 574 MW, 138 kV, 2000 ft Holbrook, Long Island bismuth-calcium-copper-oxygen/silver (1st generation) Transmission in high density, urban areas. American superconductor and BNL BNL superconducting cable researchers: Vyacheslav Solovyov, Tom Muller, and Masaki Suenega. 230 kV >> 120 V: Enter the transformer AC! 2 V in to 1 V out Images: wikipedia The transformer equation • Note: we increase the voltage, but decrease the current so that P=IV is constant. Someone always has to pay! • Transmission generators can be 98-99% efficient, but this still requires significant heat dissipation. Ode to a toothbrush Technology that drove AC power Needs: 1) a compact way to Parson's 1MW (4 kV, single) turbogenerator in Elberfeld, Germany. (1899) Images: wikipedia produce the power for a large network, and 2) an efficient method to step voltages up and down for trans- mission and consumption. 1) Charles Parsons’ MW-scale generators 2) mid 1880’s, by the engineers Zipernowsky, Blathy and Deri “ZBD” closed core transformer; developed further by Tesla, Westinghouse, Stanley and Franklin Leonard Pope Birth of the grid Initially, power was provided by local generators. The first power pool in the US was in Connecticut in 1925. The pools subsumed local generators until, today, North America is split into four synchronous systems, the Eastern, Quebec, Texas, and Western interconnections. Similar synchronous groups of generators exist around the world. Advantages of a grid: N-1 (1-1=0), more predictable (=cheaper) demand, diversity of supply Net energy flows 32% eff. 25% eff. Fertilizers! Units 1 Btu = British thermal unit, the heat to raise the temperature of 1 pound of water by 1 degree Fahrenheit. 1 quad = 1 quadrillion Btu = 1015 Btu. 1 Btu is also equal to 1054 joules 1 Joule = lifting an apple one meter Rule of thumb: 1/3 of heat energy reaches consumers as electrical energy. Lecture 5 and 6 – a fundamental efficiency limit 7-9% loss in transmission is typical. 34% o f tota l 41% of total Primary energy sources Schematic of a nuclear power plant Pressurized Water Reactor Images: derived from wikipedia Schematic of a coal power plant Image: derived from wikipedia Storage, fluctuation, intermittency Fluctuations in supply (intermittency), demand Consideration: renewable storage is useful for intermittent sources like wind and solar. Demand depends on strange human factors: 2.8 GW surge in England for people watching England's 1990 World Cup penalty shoot-out against Germany. Gas turbines GE H-series 480 MW generation gas turbine. In combined cycle: 60% efficiency possible. Can spin up quickly, but fuels often cost more than coal or nuclear baseload. Images: wikipedia Storage – pumped water Pumped water – 75% (needs hydro. stations, capital) Nearest pumped storage is Luddington, MI (max output=1.9 GW Need area, topography, capital ~20 GW capacity in US, 2-3% power Images: wikipedia and http://www.consumersenergy.com/content/hiermenugrid.aspx?id=31 Consumption by sector At home: insulation At work: lights Unit Physics Summary Currents in a magnetic field feel a force Currents produce magnetic fields Voltage is the energy per unit charge in a circuit Induction: the basis of electrical generation We need high voltages because of Joule loss Transformers produce the high voltage Energy is conserved Overview of lectures in this series Introduction and motors (Oct. 3) 2. Motors and generators (Oct. 10) 3. Distribution and use of electricity (Oct. 17) 4. Wind power and dissipation (Oct. 24) 5. Heat engines 1 (Oct. 31) 6. Heat engines 2 (Nov. 7) 7. Nuclear generation (Nov. 14) 8. Solar power – thermal and electric (Nov. 21) 9. Fuel cells (Dec. 5) 10. Summary, Consumption and the future (Dec. 12) 1. http://kicp.uchicago.edu/~switzer/