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Energies 2020, 13, 6256 10 of 19 where n is the payback period of the bank loan, i is the loan interest rate per year, re is the electricity consumption of the system per each MW heat pump, m is the number of the works for the system, and rs is the salary of each worker. The other cost is usually 4% of the sum total of Ipi, Ie, and Is. From Section 2, the heating load characteristic for the heating supply system is obtained, as can be seen from Figure 7. For a heat pump with a fixed design power, its actual operating load Php(t) can be represented by the actual power curve of the heat pump and the heating load of the heating network. During the whole heating period, the waste heat recovered by heat pump can be expressed by Equation (17). The increased heating quantity Qi can be expressed by Equation (18). Energies 2020, 13, x FOR PEER REVIEW waste heat lowers the amount of steam extraction durinCgOpPower generation, thereby reducing coal NP 0 1 Qwhp = Q =Q =QQ P−Qdt., 0 where Pdi represents the increased heating load at the design heat pump power. Figure 7. The heating load characteristic for the heating supply system. Figure 7. The heating load characteristic for the heating supply system. In fact, Qwhp is invariably greater than Qi, which shows that the waste heat recovered by the heat pumpTishuesne,dthneoctoanllysafvoirnhgesaotifntghebucot galesnoefroartieolnecutrnicititcyapnobweerxgperneessraedtiobny. ETqhuearteicoonv(e2r0y).of waste heat Php(t)(1− consumption. The energy consumption reduced by saving coal can be calculated by Equation (19). NP i s whphdii )dt, (17) (189) 11 of 21 lowers the amount of steam extraction during power generation, thereby reducing coal consumption. Bs=Qs , (20) The energy consumption reduced by saving coal can be calculated by Equation (19). ηηq pbl where ηp and η represent the pipe eQffisc=ienQcy an−dQb.oiler efficiency, respectively; q repre(s1e9n)ts b whpi l the net calorific power of coal. Then, the coal savings of the cogeneration unit can be expressed by Equation (20). The total income from the waste heat recovery system can be calculated by Equation (21). I = I + I Q= s r Q + r B , ( 2 1 ) 0tbtibs Bs = η η q , (20) IpblI where t is the income brought by the increased heating quantity, b is the revenue from coal wshaevriengηdaunrdinηgproepwrersegnetntehreatpioipne,erffirceiepnrceyseanntsdtbhoeilheeraetffiingciepnriccye,,raenspdecrtivrelpyr;eqsernetpsrtehsenptrsictheeonfethte pbtbl casltoarnidfiacrpdocwoearl.of coal. TThehetoatnalniunacloamfterf-rtoamx pthroe fwit aosftetheeasyt srteecmovaenryd styhsetermatecaonf rbeetucranlcuonlatehde binyitEiaqluiantvioenstm(21en).t can be calculated by Equations (22) and (23), respectively. I0 = It + Ib = rtQi+ rbBs, (21) Ip =(1−IT)(I0 −Ic), (22) where It is the income brought by the increased heating quantity, Ib is the revenue from coal saving ROI=Ip /Ii, (23) during power generation, rt represents the heating price, and rb represents the price of the standard coal. where Ic is the total cost of the waste heat recovery system per year, Ii represents the initial investment, and IT represents the income tax rate. From the above model, I p or ROI under the different design power of the heat pump can be obtained, and then the appropriate design power of heat pump can be achieved.PDF Image | Waste Heat Recovery Turbine Exhaust Steam Heat Pump
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