Cogeneration

Cogeneration, or Combined Heat and Power (CHP), is the simultaneous production of electrical (or mechanical) power and useful thermal energy from a single primary energy source. In a conventional power plant, a large fraction of the fuel energy is rejected as low-grade heat through the condenser; a CHP plant recovers much of that heat for district heating, process steam, or industrial drying, raising overall fuel utilization to 70–90% compared with 30–50% for electricity-only generation. Common CHP configurations include the gas turbine with a heat recovery steam generator (HRSG), the reciprocating engine with exhaust heat recovery, the steam turbine with extraction or back-pressure, and combined-cycle systems. The key performance indicators are the electrical efficiency eta_e = W_net / Q_fuel, the thermal efficiency eta_th = Q_useful / Q_fuel, and the overall efficiency eta_overall = (W_net + Q_useful) / Q_fuel. The power-to-heat ratio (PHR) describes the balance between electrical and thermal output and must match the site's demand profile. Exergy analysis is often more revealing than first-law efficiency, because electricity is high-grade work while low-temperature heat has limited thermodynamic value. The main technical constraints are matching thermal and electrical loads, heat transport distance, and the temperature level required by the thermal user. Economic feasibility depends on the spark spread, fuel price, capital cost, operating hours, and any feed-in tariff or carbon credit.

Governing Formulaeta_e = W_net / Q_fuel eta_th = Q_useful / Q_fuel eta_overall = (W_net + Q_useful) / Q_fuel = eta_e + eta_th Power-to-heat ratio: PHR = W_net / Q_useful Fuel energy rate: Q_fuel = m_fuel · LHV_fuel Exergy of heat at temperature T: Ex = Q_useful · (1 - T_0 / T) Primary energy savings (PES): PES = 1 - 1 / (eta_e,CHP/eta_e,ref + eta_th,CHP/eta_th,ref)

Knowledge Check

10 Questions

1.What is the primary purpose of cogeneration (CHP)?

2.A CHP plant consumes 100 MW of fuel, produces 35 MW of net electricity, and delivers 50 MW of useful heat. What is the overall efficiency?

3.Why can overall CHP efficiency exceed the electrical efficiency of a conventional power plant by a large margin?

4.A CHP unit has a power-to-heat ratio (PHR) of 0.6 and produces 12 MW of useful heat. What is the net electrical output?

5.What does a high power-to-heat ratio (PHR) imply for a CHP installation?

6.Which CHP configuration uses a gas turbine whose exhaust gas generates steam in a heat recovery steam generator (HRSG)?

7.Why is exergy analysis often preferred over first-law efficiency when evaluating CHP systems?

8.A CHP plant must match its thermal output to a site's demand. Which condition most directly limits the amount of useful heat that can be delivered?

9.A CHP plant has eta_e = 0.35 and eta_th = 0.50. What is its overall efficiency?

10.Which factor most directly determines the economic feasibility of a cogeneration project?