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geothermal power plant projects in central america - Orkustofnun

geothermal power plant projects in central america - Orkustofnun

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The net contribution of that <strong>power</strong> <strong>plant</strong> to the electric grid can be calculated by subtract<strong>in</strong>g all <strong>in</strong>ternal<strong>power</strong> consumption to the generator output.Condenser with heat exchangeSteam exhaust from the turb<strong>in</strong>e is cooled without mix<strong>in</strong>g us<strong>in</strong>g water from the cool<strong>in</strong>g tower <strong>in</strong> asurface type condenser. The goal is to condense this steam by extract<strong>in</strong>g energy because it requiresless work to pump an <strong>in</strong>compressible liquid than compressible gas or steam at state 4. The energyextracted is calculated by us<strong>in</strong>g the mass flow of steam and the enthalpy difference at stations 3 and 4,as followsEquation 11, based on the energy balance <strong>in</strong> the exchanger, is = ( h − h ) (10) ( h − h ) = ( h − h ) (11)The heat exchange is determ<strong>in</strong>ed by the temperature difference; therefore, the maximum temperatureof the cool<strong>in</strong>g water must not exceed the condensation temperature <strong>in</strong> the condenser. Accord<strong>in</strong>g toPálsson (2010) there should be at least 5°C difference between those numbers, written as follows = −5 (12)Assum<strong>in</strong>g that condensation takes place at a constant temperature, a simplified equation can be givenas = (13)S<strong>in</strong>ce a temperature value is fixed on the design for the <strong>in</strong>let cool<strong>in</strong>g water temperature, alltemperature variables can be identified. Therefore, Equation 11 can be used to calculate the requiredflow rate of the cool<strong>in</strong>g water at station c1.Gas extractionThe <strong>geothermal</strong> steam <strong>in</strong>cludes non condensable gases all the time. Carbon dioxide is typically about98% of the gas content and is released to the atmosphere <strong>in</strong> most <strong>geothermal</strong> <strong>power</strong> <strong>plant</strong>s(Thorhallsson, 2006). In this analysis, the composition of the non-condensable gases is assumed to be100 % CO 2 .Non condensable gases cause a problem <strong>in</strong> the condenser; while the steam is condensed and pumpedout, the gases are kept on <strong>in</strong> gaseous form produc<strong>in</strong>g an <strong>in</strong>crease <strong>in</strong> the pressure <strong>in</strong> the condenser. Apossible solution to this problem is to compress the gases and suck them out of the condenser.In the extraction process, some amount of steam will always be <strong>in</strong>cluded s<strong>in</strong>ce the steam is mixed withother gases <strong>in</strong>side. Hence, the gas mixture is then assumed to be saturated with steam when it issucked out from the condenser. Accord<strong>in</strong>g to Pálsson (2010) the mass of steam extracted can bedef<strong>in</strong>ed as = ( ) (14)where is the mass molar mass of water and is the mass molar mass of gases, is thesaturation pressure of steam at the gas outlet temperature, is the condenser pressure and is themass flow of gases <strong>in</strong>to the condenser.The energy required for the pump is calculated by an ideal isentropic process between the condenserpressure and the atmospheric pressure. The mixture properties are calculated as follows17

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