The specifications of Capstone c30 microturbine are given be

The specifications of Capstone c30 microturbine are given below. Rating: 30 kw Electrical Efficiency LHV: 26% Combined Heat And Power Efficiency: Up to 90% Voltage: 400-480 VAC Frequency: 50/60 Hz, Grid Connect 10-60 Hz, Stand Alone Electrical Service: 3-Phase, 4-Wire Width: 0.76 m (30 in) Depth: l.5 m (60 in) Height: 1.8 tn (70 in) Weight: Grid Connect - 405 kg (891 lb); Dual Mode - 578 kg (1, 271 lb) et Heat Rate LHV: 13.8 MJ/k\\Vh (13, 100 BTU/kWh) Exhaust Temperature: 275 degree C (530 degree F) Exhaust Gas Flow: 0.31 kg/s (0.68 Ibm/s) Determine the amount of heat recovered based on the CHP efficiency of 90%, the annual fuel consumption of the turbine based on the electrical efficiency assuming the capacity/plant factor is 80%, and the annual saving in the fuel consumption due to cogeneration.

Solution

here is the amount of heat recovred based on chp efficiency common approch used approach to determining a CHP system’s efficiency is to calculate total system efficiency. Also known as thermal efficiency, the total system efficiency (o) of a CHP system is the sum of the net useful power output (WE) and net useful thermal outputs (QTH) divided by the total fuel input (QFUEL)

O = WE + QTH /QFUEL

The calculation of total system efficiency is a simple and useful method that evaluates what is produced (i.e., power and thermal output) compared to what is consumed (i.e., fuel). CHP systems with a relatively high net useful thermal output typically correspond to total system efficiencies in the range of 60 to 85 percent. Note that this metric does not differentiate between the value of the power output and the thermal output; instead, it treats power output and thermal output as additive properties with the same relative value. In reality and in practice, thermal output and power output are not interchangeable because they cannot be converted easily from one to another. However, typical CHP applications have coincident power and thermal demands that must be met. It is reasonable, therefore, to consider the values of power and thermal output from a CHP system to be equal in many situations. Calculating Effective Electric Efficiency Effective electric efficiency calculations allow for a direct comparison of CHP to conventional power generation system performance (e.g., electricity produced from central stations, which is how the majority of electricity is produced in the United States). Effective electric efficiency (EE) can be calculated using the equation below, where (WE) is the net useful power output, (QTH) is the sum of the net useful thermal outputs, (QFUEL) is the total fuel input, and equals the efficiency of the conventional technology that otherwise would be used to produce the useful thermal energy output if the CHP system did not exist: QFUEL – (QTH / ) EE = WE For example, if a CHP system is natural gas fired and produces steam, then represents the efficiency of a conventional natural gas-fired boiler. Typical values for boilers are: 0.8 for natural gas-fired boiler, 0.75 for a biomass-fired boiler, and 0.83 for a coal-fired boiler.

EE = we/WQFUEL – (QTH / )

just use this formulas and find above the factors

annuel fuel consulmption and anual saving factor also