Energy Har vesting 1 Combined Heat and Power (CHP) 2 MicroCHP 3 Stirling Engines 4 Heat Pumps 5 Small scale energy har vesting 1 Often industrial (and domestic) processes will create waste or unwanted energy. Energy can also be extracted from many parts of our environment. Different technologies are required to har vest these different forms of energy. 2 CHP The process of producing electricity usually produces waste heat This heat can be collected to provide district heating Or it can be used to generate more electricity Similarly a boiler producing heat (ie steam, water etc) can produce waste heat which can be harvested to produce electricity 3 Sustainable Energy — without the hot air, David JC MacKay 4 CHP can be applied to large scale electricity generation plant Or smaller CHP units can be installed in large commercial or industrial sites In Australia the former would normally utilise coal and the latter gas 5 Spark spread CHP is only a viable option if you have 1 A use for the heat 2 A use for the electricity 3 A large enough spark spread Spark Spread = Cost of Electricity - [ (Cost of Gas) * (Btu to kWh conv) ] = $/kWh - [ ($/Btu) * (Btu / kWh) ] OR Spark Spread = [ (Cost of Electricity) * (kWh to Btu conv) ] - Cost of Gas = [ ($/kWh) * (kWh/Btu) ] - $/Btu 1 therm = 100,000 Btu = 100cf natural gas = 1 Ccf = 29.3 kWh = 105.5 MJ 1kWh = 3412 Btu 6 Example Calculate the spark spread if gas costs 1.9 c/MJ and electricity costs 21 c/kWh. 7 Gas fired CHP http://youtu.be/uXLUoqzlT2k 8 The recovery of this waste heat in a CHP plant utilises reasonably mainstream technology. CHP technology can be downsized for smaller industrial and domestic situations. It is then often called microCHP. The most common method of heat recovery in this arena is the Stirling engine. 9 What is the idea? 10 11 Stirling engine Alpha engine http://en.wikipedia.org/wiki/Stirling_engine 12 13 Alpha engine http://en.wikipedia.org/wiki/Stirling_engine 14 Beta engine http://en.wikipedia.org/wiki/Stirling_engine 15 16 Beta engine http://en.wikipedia.org/wiki/Stirling_engine 17 http://en.wikipedia.org/wiki/File:Stirling_Cycle_color.png 18 Stirling Efficiency http://www.robertstirlingengine.com/principles.php The force exerted on the piston is F = S x P where S is the surface of the piston and P the instantaneous pressure. Over a short time (dt) the work is equal to the instantaneous force times the displacement of the piston (dy). dW = F x dy = S x P x dy now S x dy = dV , so dW = P x dV This equation describes the surface under each curve. The work is positive under the expansion curve as dV>0 and negative under the compression cur ve as dV<0. The total work for one cycle is the area under the expansion curve decreased by the area under the compression curve, ie the area of the loop. The efficiency can be calculated by the ratio of recovered mechanical energy (Wnet) and supplied heat (Qtot). Wnet = Wexp + Wcomp remember Wcomp will be negative Qtotal = Qheat + Qexp 19 Mechanical energy The total work (Wnet) is equal to sum of the positive recovered work during expansion and the supplied negative work during the compression. Wnet = Wexp + Wcomp Wnet = ∫exp PdV + ∫comp PdV where P = nRT / V Wnet = ∫exp (nRTmax / V) dV + ∫comp (nRTmin / V) dV Wnet = nR (Tmax - Tmin) ln Vmax / Vmin http://www.robertstirlingengine.com/principles.php 20 Supplied heat During the isothermal expansion phase the supplied heat is equal to the recovered work during this phase Qexp = ∫exp PdV Qexp = nR Tmax ln Vmax / Vmin During isochoric heating, we have to provide heat Qheat = nCv (Tmax - Tmin) where Cv is the constant-volume molar heat capacity of the gas when heated from Tmin to Tmax. The total provided heat is : Qtotal = nCv (Tmax - Tmin) + nR Tmax ln Vmax / Vmin 21 http://www.robertstirlingengine.com/principles.php Stirling cycle efficiency η = Wnet / Qtot η = [R (Tmax - Tmin) ln Vmax / Vmin] / [Cv (Tmax - Tmin) + R Tmax ln Vmax / Vmin] Stirling regenerator The limit will be η = 1 - Tmin / Tmax 22 Which gas is best? The one with the smallest constant volume molar heat capacity. http://hyperphysics.phy-astr.gsu.edu/hbase/tables/heatcap.html 23 Model high temp stirling engine 24 An application of the Stirling engine 25 Stirling engines are also in use in other energy areas, especially in generation of renewable energy. 26 27 There are other microCHP technologies 28 29 Heat pumps These devices work on the principle that it is more efficient to move heat from one place to another, rather than to create heat. The principle is the same used in a fridge or airconditioner. 30 http://en.wikipedia.org/wiki/File:Refrigeration.png http://en.wikipedia.org/wiki/File:RefrigerationTS.png 31 Coefficient of Performance (COP) - The ratio of useful heat movement to work input ΔQhot Thot ≤ ΔA Thot − Tcool ΔQcool Tcool = ≤ ΔA Thot − Tcool COPheating = COPcooling where ΔQcool - amount of heat extracted from a reservoir at temperature Tcool, ΔQhot - amount of heat delivered to a reservoir at temperature Thot, ΔA - work done by compressor. All temperatures in kelvin(K). 32 Heat pumps may be Air Source Heat Pumps (ASHP) or Ground Source Heat Pumps (GSHP) They can be used as space heaters, water heaters or as a means of generating electricity from heat. http://greenedmonton.ca/taxonomy/term/97 33 http://heatexchanger-design.com/category/air-source-heat-pump/ Reverse cycle - Cooling mode http://www.geo4va.vt.edu/A3/A3.htm 34 Reverse cycle - Heating mode http://www.geo4va.vt.edu/A3/A3.htm 35 http://en.wikipedia.org/wiki/Heat_pump 36 Small scale energy harvesting • • • • • • • Mechanical Energy – vibration, mechanical stress and strain Thermal Energy – waste energy from furnaces, heaters, and friction sources Light Energy – sunlight or room light Electromagnetic Energy – RF and low frequency electromagnetic fields Natural Energy – wind, water flow, ocean currents Human Body – mechanical and thermal energy naturally generated from humans and animals Other Energy – from chemical and biological sources 37 38 Vibration The simplest of these devices utilise the piezo effect http://en.wikipedia.org/wiki/File:SchemaPiezo.gif 39 http://www.piezo.com/prodeh0nav.html 40 41 Thermal The common thermal energy har vesting device is a thermo electric generator (TEG). These devices us the Seebeck effect The Seebeck coefficient http://en.wikipedia.org/wiki/File:Seebeck_effect_circuit_2.svg 42 ΔV S=− ΔT 43 http://www.micropelt.com/applications/te_power_plus.php 44 RF harvesting http://www.powercastco.com/products/powerharvester-receivers/ 45