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Energies 2020, 13, 6256 11 of 19 The annual after-tax profit of the system and the rate of return on the initial investment can be calculated by Equations (22) and (23), respectively. Ip = (1 − IT)(I0 − Ic), (22) ROI = Ip/Ii, (23) 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, Ip 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. 4. Case Study A typical unit CZK135/112-13.2/0.245/535/535 is considered to use the heat pump to recover the waste heat from a low-grade steam turbine exhaust for heating. The unit is an ultra-pressure bleeder turbine with a single reheat. It has two heating extraction steams, one for industrial heating supply from the intermediate pressure stage and another for building heating supply from the exhaust steam of the intermediate pressure stage. The detailed thermal parameters of the unit are shown in Table 1. Table 1. Detailed thermal parameters of the case unit. No. 1 2 3 4 5 6 7 8 9 10 Parameters Main steam flow Heating-extracting steam flow Available exhausted steam flow Exhaust steam pressure Power generation Backwater temperature Boiler efficiency Pipe efficiency Mechanical efficiency Generator efficiency Unit Value t/h 480 t/h 150 t/h 202.266 MPa 0.015 MW 130.159 ◦C 104 % 92 % 99 % 99 % 98.5 For the unit, the heat recovery system of turbine exhaust steam using an absorption heat pump for heating supply based on heating load characteristics is designed. The main original data for the design are listed in Table 2. No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Table 2. The main original data for the system design. Items Calculated outdoor temperature for heating Days of the heating period Price of the standard coal Price of the electricity Price of the heating Units Values ◦C −14 d/yr 150 RMB/t 400 RMB/kWh 0.43 RMB/GJ 35.48 COP of heat pump 1.7 Unit price of the recovery system using absorption heat pump Electrical load consumed by heat pump system per MW The salary of the workers The lending ratio of the initial investment from the bank The payback period of the bank loan The loan interest rate per year The income tax The temperatures of the supply water The temperatures of the backwater Maximum outlet water temperature of the heat pump RMB/MW 20,0000 kW/MW 4 RMB 50,000 × 8 % 80 y 10 % 7.05 % 25 ◦C 98 ◦C 40 ◦C 80PDF Image | Waste Heat Recovery Turbine Exhaust Steam Heat Pump
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