Sensitivity Analysis and Cost Estimation of a CO 2 Capture Plant in Aspen HYSYS

: A standard CO 2 capture process is implemented in Aspen HYSYS, simulated, and evaluated based on available data from Fortum’s waste burning facility at Klemetsrud in Norway. Since amine-based CO 2 removal has high costs, the main aim is cost-optimizing. A simpliﬁed carbon-capture unit with a 20-m absorber packing height, 90% CO 2 removal efﬁciency, and a minimum approach temperature for the lean/rich amine heat exchanger ( ∆ T min ) of 10 ◦ C was considered the base case simulation model. A sensitivity analysis was performed to optimize these parameters. For the base case study, CO 2 captured cost was calculated as 37.5 EUR/t. When the sensitivity analysis changes the size, the Power Law method adjusts the equipment cost. A comparison of the Enhanced Detailed Factor (EDF) and the Power Law approach was performed for all simulations to evaluate the uncertainties in the ﬁndings from the Power Law method. The optimums calculated for ∆ T min and CO 2 capture rate were 15 ◦ C and 87% for both methods, with CO 2 removal costs of 37 EUR/t CO 2 and 36.7 EUR/t CO 2 , respectively. With 19 m of packing height to absorber, the minimum CO 2 capture cost was calculated as 37.3 EUR/t and 37.1 EUR/t for the EDF and Power Law methods, respectively. Since there was a difference between the Power Law method and the EDF method, a size factor exponent derivation was performed. The derivation resulted in the following exponents: for the lean heat exchanger 0.74, for the lean/rich heat exchanger 1.03, for the condenser 0.68, for the reboiler 0.92, for the pump 0.88, and for the fan 0.23.


Introduction
A significant amount of human-made CO 2 emissions has its origin in combustion processes such as the burning of coal, oil and gas [1]. CO 2 capture utilization and storage (CCUS) has been suggested to cope with such emissions as a possible solution. The term CCUS describes a process that involves the capture of CO 2 from extensive facilities that are burning fossil-or biomass fuel. The captured CO 2 can be used at the facility or compressed and stored in permanent storage locations. Such locations for storage can, for instance, be depleted oil and gas reservoirs. Approximately 230 Mt of CO 2 is utilized globally each year, largely for fertilizer production (roughly 125 Mt/year) and improved oil recovery (around 70-80 Mt/year). Food and beverage manufacturing, cooling, water treatment, and greenhouses are some of the other commercial uses of CO 2 . Today, 20% of the global CO 2 emissions are emitted from heavy industries, and the world's carbon-capture facilities can capture more than 40 Mt of CO 2 [2]. This amount of captured CO 2 is expected to double because the interest in CO 2 capture is growing. More facilities for CO 2 capture are being built, and the technology is recognized as a significant contributor to reducing CO 2 emissions [2]. Aromada and Øi indicate in their research [3] that both vapor recompression and vapor recompression paired with split-stream operations can minimize energy usage. Among the combinations studied, the vapor recompression technique was shown to be the most energy efficient. In addition, for the CO 2 capture parameters, which are based on a natural gas-based power plant project in Mongstad, Norway, energy optimization and economic analysis were undertaken [3].
Regarding the other methods of CO 2 removal, Roussanaly et al. [12] present a new systematic method for designing and optimizing CO 2 capture membrane systems that integrates both technological and economic principles. This approach generates graphical separation issue solutions in order to construct a cost-optimal membrane system that meets CO 2 capture ratio and purity standards. The technique is demonstrated through the design of a post-combustion CO 2 capture membrane system placed on an Advanced Super Critical (ASC) power station and compared to a MEA capture unit. Finally, a comparison is made between the cost model used and models found in the literature to show that the competitiveness of the membrane system described in this research is attributable to superior design rather than an underestimating of the membrane capture cost [12]. CO 2 capture science and technology based on adsorbents are discussed and reviewed in terms of chemistry and methodology by Patel et al. [5]. Six criteria are anticipated to be satisfied in a successful sorbent design: cost, capacity, selectivity, stability, recyclability, and fast kinetics [5].
To cost-optimize the plant, this study wishes to conduct a sensitivity analysis on the effect of the overall cost when process parameters are changed. The typical choices of process parameters are according to Øi [7]: the gas temperature into the absorber, the pressure into the absorber, the minimum temperature difference in the lean/rich heat exchanger, the reboiler temperature, the condenser temperature or the reflux ratio, the solvent circulation rate, the pressure in the desorber, and efficiency of the CO 2 removal rate of the process. The process parameters investigated are the efficiency of the absorber, the minimum temperature in the lean/rich heat exchanger, and the absorber packing height.
For efficiency, similar studies were conducted by Øi et al., [13], Kallevik [6], and Ali [14]. They all ended up with an optimum cleaning efficiency equal to 85%. Ali found an optimum efficiency of 87%.
For the minimum temperature (∆T min ) in the lean/rich heat exchanger, Aromada et al. [15] calculated 15 • C as the optimum. However, Kallevik [6] and Øi et al. [13] found ∆T min = 13 • C as the optimum. It is worth noticing that in Øi et al. [13], depending on the parameters, the optimal temperature difference in the primary heat exchanger was determined to be 10-15 • C, which also agrees with the result of Aromada et al. [15].
For the absorber packing height, Kallevik [6] performed a sensitivity analysis with 90% cleaning efficiency, with a flue gas inlet 3.7 mole% CO 2 and an optimum absorber packing height of 19 m. Additionally, Øi et al. [13] studied a 90% cleaning efficiency with a CO 2 -content of 17.8 mole%. They ended up with an optimum packing height of 12 m.

Scope of the Study
This paper will investigate an amine absorption process based on available emission data from Fortum's FEED report [16]. There are no simulated and cost-estimated scenarios on CO 2 capture from waste incineration facilities reported. Fortum's waste-burning facility at Klemetsrud in Norway has started a carbon-capture pilot project based on amine absorption of CO 2 . According to Fortum's FEED report from 2019, the carbon-capture process targets removal efficiency of 95% of the CO 2 emissions [16]. A base case is established in Aspen HYSYS based on Fortum's data, and then a dimensioning and cost estimation is performed. A sensitivity analysis executes cost optimization to minimize and reduce costs. A series of case studies conducts the technique to investigate the changes in price affected by the different variables. In this study, the variables manipulated are the absorber packing height, the CO 2 capture efficiency, and the lean/rich heat exchanger minimum temperature difference.
Further, the Power Law method is utilized to adjust the equipment cost when the sensitivity analysis changes the size. However, this way of calculating the equipment cost can be considered a "shortcut" as it is a time-saving process. To investigate the uncertainties in the results from the Power Law method, a comparison between the Enhanced Detailed Factor (EDF) using Aspen In-Plant Cost estimator and the Power Law method has been accomplished.
Lastly, to improve the usage of the Power Law method, a derivation of the individual size factor exponent for all the equipment-except the absorber and desorber-was executed. The derivation is a technique to find a unique exponent factor for each piece of equipment.
In this study, data from Fortum's waste burning facility at Klemetsrud in Norway has been used. There are no simulated and cost-estimated scenarios on CO 2 capture from waste incineration facilities reported in the open literature. Additionally, for all cases in the sensitivity analysis, a comparison between the Enhanced Detailed Factor (EDF) using Aspen In-Plant Cost estimator and the Power Law method has been accomplished to investigate the uncertainties in the results from the Power Law approach. In most literature, just the Power Law method has been utilized to adjust the equipment cost when the sensitivity analysis changes the size. Further, to improve the usage of the Power Law method, a derivation of the individual size factor exponent for all the equipment-except the absorber and desorber-was executed.

Materials and Methods
In this study, Aspen HYSYS version 12 was used to create a standard amine-based CO 2 capture process, and the simulated results were the foundation for equipment dimensioning and cost estimation with the same calculation approach as in literature [15,17]. The fluid package of the acid gas property package, including vapor and liquid equilibrium models for electrolytes, was used in all simulations. This package replaced the Amine property package, which has been commonly used in literature. Constant Murphree efficiencies were specified in the absorber and desorber.

Process Description and Available Parameters
Waste coming from households is solely responsible for 5% of global greenhouse emissions. A waste burning facility can convert waste to energy during an incineration process. One of the vital roles of a waste burning facility is to treat and burn trash that is not recyclable. CO 2 removal is expected to significantly reduce emissions in a waste burning facility. The waste treatment produces emissions, and carbon capture is a possible solution [16].
To establish the base case for our simulations, the values for summer H 2 O in Fortum's CO 2 capture plant [16], which gives an average H 2 O content of 16.3%, and then will be made saturated at 40 • C, have been used in the simulations. Since the flue gas pressure ranges from 0.95-1.05 bar(a), an average inlet pressure of 101 kPa is considered in the cases. The amine used in Fortum's CO 2 capture plant is Cansolv DC-103 mixed with 50% water. The Cansolv solution is made by Shell, and its specifications are not available to the public [16]. Instead, MEA has been used as the amine in the solvent for this project.
The conventional amine-based CO 2 absorption-desorption mechanism is depicted in Figure 1. A primary absorber and desorber (stripper) with a reboiler and condenser, lean/rich amine heat exchanger, pumps, and a cooler make up the system. An amine solvent absorbs CO 2 from the exhaust gas (e.g., monoethanolamine-MEA) in the absorption column. After being heated in the lean/rich amine heat exchanger, the CO 2 -rich amine solution from the absorption column is injected into the stripper for regeneration. The regenerated (lean) amine is returned to the absorption column to be reused. It initially passes through the lean/rich amine heat exchanger to heat up the rich stream before being cooled in the amine cooler [3].

Specifications and Simulation
The specifications in Table 1 correspond to a 90 per cent CO2 removal efficiency and a minimum approach temperature of 10 °C in the lean/rich heat exchanger, which is considered the base case configuration.
The calculation method used is similar to previous works [3,13,15]. The absorption and desorption columns have been modelled as equilibrium stages with stage efficiencies. The absorber is modelled with 20 packing steps, but the desorber has just eight packing stages. For both columns, equilibrium stages of 1 m height are considered. For the absorption column, Murphree efficiencies of 15% were used. For all stages of the desorption column, a constant Murphree efficiency of 50% was given. The Modified HYSIM Inside-Out method was chosen in the columns since it aids in convergence. The pump and flue gas fan were specified to have an adiabatic efficiency of 75% [3,13,15].
An alternative to the equilibrium-based simulation approach is a column calculation based on the number and height of transfer units (NTU/HTU) or a rate-based approach [17]. A limitation of the alternative calculations is unknown parameters such as mass transfer and heat transfer numbers. The Murphree efficiency values in the equilibriumbased simulations can be based both on estimation from physical properties and on empirical values [7,17]. Another advantage with equilibrium-based simulations compared to rate-based simulations available in, e.g., Aspen Plus, is that they converge more easily [17].

Specifications and Simulation
The specifications in Table 1 correspond to a 90 per cent CO 2 removal efficiency and a minimum approach temperature of 10 • C in the lean/rich heat exchanger, which is considered the base case configuration. The calculation method used is similar to previous works [3,13,15]. The absorption and desorption columns have been modelled as equilibrium stages with stage efficiencies. The absorber is modelled with 20 packing steps, but the desorber has just eight packing stages. For both columns, equilibrium stages of 1 m height are considered. For the absorption column, Murphree efficiencies of 15% were used. For all stages of the desorption column, a constant Murphree efficiency of 50% was given. The Modified HYSIM Inside-Out method ChemEngineering 2022, 6, 28 6 of 20 was chosen in the columns since it aids in convergence. The pump and flue gas fan were specified to have an adiabatic efficiency of 75% [3,13,15].
An alternative to the equilibrium-based simulation approach is a column calculation based on the number and height of transfer units (NTU/HTU) or a rate-based approach [17]. A limitation of the alternative calculations is unknown parameters such as mass transfer and heat transfer numbers. The Murphree efficiency values in the equilibrium-based simulations can be based both on estimation from physical properties and on empirical values [7,17]. Another advantage with equilibrium-based simulations compared to ratebased simulations available in, e.g., Aspen Plus, is that they converge more easily [17]. Figure 2 shows the Aspen HYSYS simulation process flow diagram (PFD). Aspen HYSYS is an equation-based simulation program, meaning it can compute in-streams from out-streams. This study, on the other hand, uses a sequential calculating technique. To solve the flowsheet in Aspen HYSYS, one needs to include recycle blocks. This block compares the block's in-stream to the block's out-stream in the previous iteration [13].  Figure 2 shows the Aspen HYSYS simulation process flow diagram (PFD). Aspen HYSYS is an equation-based simulation program, meaning it can compute in-streams from out-streams. This study, on the other hand, uses a sequential calculating technique. To solve the flowsheet in Aspen HYSYS, one needs to include recycle blocks. This block compares the block's in-stream to the block's out-stream in the previous iteration [13]. A fan and a cooler in the process flow have been considered to adjust the inlet stream temperature and pressure into the absorber column. The fan will increase the pressure from 101 kPa to 111 kPa, which is assumed as sufficient and used in previous work such as by Øi [7]. The temperature of the flue gas will increase due to the pressure increase. This temperature increase is handled with a cooler before the absorber to obtain 40 °C at the absorber inlet. The cooler before the absorber will not be a part of further discussion as it is assumed that it will not significantly impact the cost estimates.

Dimensioning and Cost Estimation
A simplified dimensioning of the process equipment has been done. The calculations are based on the process flowsheet from Aspen HYSYS with equations of states, and energy and material balances.

Scope of Analysis
Except for the flue gas cooler, the cost analysis is confined to the equipment specified in the flowsheet in Figure 2. Pretreatment and especially the removal of SOx and NOx will probably be necessary. A possible process is given in Iliuta and Larachi [18]. There is no A fan and a cooler in the process flow have been considered to adjust the inlet stream temperature and pressure into the absorber column. The fan will increase the pressure from 101 kPa to 111 kPa, which is assumed as sufficient and used in previous work such as by Øi [7]. The temperature of the flue gas will increase due to the pressure increase. This temperature increase is handled with a cooler before the absorber to obtain 40 • C at the absorber inlet. The cooler before the absorber will not be a part of further discussion as it is assumed that it will not significantly impact the cost estimates.

Dimensioning and Cost Estimation
A simplified dimensioning of the process equipment has been done. The calculations are based on the process flowsheet from Aspen HYSYS with equations of states, and energy and material balances.

Scope of Analysis
Except for the flue gas cooler, the cost analysis is confined to the equipment specified in the flowsheet in Figure 2. Pretreatment and especially the removal of SO x and NO x will probably be necessary. A possible process is given in Iliuta and Larachi [18]. There is no pre-treatment, such as inlet gas purification or cooling, and no post-treatment, such as compression, transport, or storage of CO 2 in this study. The cost estimate is only for the cost of the specified equipment installed. It excludes expenses such as land acquisition, preparation, service buildings, and ownership costs.

Dimensioning of Equipment
For the absorber and desorber cost estimation, the volume of packing and shell is used as the dimensioning factors. The most expensive component of a column is the packing, and in this study, structured packing is chosen because of its high efficiency, high capacity, and low-pressure drop [7]. A constant stage (Murphree) efficiency equivalent to 1 m of packing was assumed to calculate the packing height. Table 1 specifies Murphree efficiencies of 0.15 and 0.5 for the absorber and desorber, respectively. The absorption and desorption columns' total heights are estimated to be 40 and 20 m, respectively. The packing, liquid distributors, water wash, demister, gas inflow and outflow, and sump are all factored into the absorber height calculation. The condenser inlet, packing, liquid distributor, gas inlet, and sump are all factored into the desorber height calculation [13,19]. The absorption column diameter was determined using a gas velocity of 2.5 m/s, whereas the desorption column was computed using 1 m/s [19].
Based on the duties and temperature conditions extracted from the simulations and an ideal countercurrent flow assumption, the heat transfer areas of the heat exchangers are estimated. The heat transfer coefficients are assumed to be 500 W/(m 2 ·K) for the lean/rich heat exchanger, 800 W/(m 2 ·K) for the lean amine cooler, 800 W/(m 2 ·K) for the reboiler, and 1000 W/(m 2 ·K) for the condenser [19]. This research assumes standard shell and tube heat exchangers.
For the pump and fan, the duty is used as the dimensioning parameter; however, the mass flow is also used in the Aspen In-Plant cost estimator. The fan and pumps are designed with an adiabatic efficiency of 75% in Aspen HYSYS.

Capital Cost Estimation
In this study, the capital cost (CAPEX) estimation is done by the Enhanced Detailed Factor (EDF) method. This approach is based on installation factors for each item of process equipment. According to Ali et al. [14], there are numerous advantages of using the EDF method. This method performs well and gives an accurate estimate in the early-stage cost estimate.
The cost for each piece of equipment was calculated with the use of the Aspen In-Plant Cost-estimator (v.12) software, which gives the price in Euro (€) for the year 2019 (1st Quarter), and the default location is Rotterdam in Netherland. The exact location of Rotterdam is assumed in this evaluation. To calculate the cost for each piece of equipment, an installation factor sheet made by Nils Henrik Eldrup is used [15]. This sheet includes all the installation factors for the equipment, and it requires that the equipment cost is calculated in carbon steel (CS). Each equipment component will have a total installation factor, which is the sum of all sub-factors (direct costs, engineering, administration, commissioning, and contingency).
Except for the flue gas fan, which is built of carbon steel, all equipment is supposed to be made of stainless steel (SS316). For welded and rotating equipment, the material factors to convert costs in SS316 to CS are 1.75 and 1.30, respectively.
The installed cost factors were estimated by using the values reported in the detailed factor table [15] for the year 2020. This implies that the equipment cost must first be converted to cost data for 2020. Then, the EDF method will be applied for finding the total installed cost. Finally, the total installed price must be adjusted for inflation from 2020 to 2021. The cost-inflation index that has been used is tabulated in Table 2 [20]. The currency will be converted to Norwegian kroner (NOK) with the factor of 9.8, which is taken from early October 2021 from Norges Bank [21].

Operating Cost Estimation
The operational and maintenance cost (OPEX) contributes to a significant part of the total costs. It is common practice to divide OPEX into fixed and variable costs. The fixed costs are maintenance costs and operating labor costs. The maintenance costs are usually assumed as a percentage of the equipment installation cost (EIC) in the range of 2% to 6%, which in this study considered 3%. The operating labor costs depend on the number of workers and the operating hours throughout the year. Variable costs are mainly utility costs such as raw materials, electricity, cooling water, steam, solvents, and other consumables. The yearly cost of the mentioned utilities must be calculated [14]. In Table 3, the OPEX assumptions and specifications are presented [15]. Table 3. OPEX assumptions and specifications [15].

Methods for Optimization
For the economic evaluation, a sensitivity analysis of our configuration is conducted. A series of case studies are performed to investigate the effect of the different variables on the cost. The variables are the packing height, absorber efficiency, and lean/rich heat exchanger minimum temperature difference. To compare the various project alternatives and arrive at the optimum solution, it is necessary to compute the yearly CO 2 capturing cost for each alternative, where this amount is estimated from Equation (1) [14,15].
Annual capturing cost of CO 2 = (Total annual cost)/(Mass of captured CO 2 ) (1) Total annual cost = Annualized CAPEX + Annualized OPEX To calculate the annualized CAPEX, the operational lifetime and the interest rate needs to be known.
Annualized CAPEX (euro/year) = CAPEX/(Annualized factor) where n is the operative lifetime (for one year construction) and r is the interest rate. The equipment's size will differ when parameters are changed in order to perform a sensitivity analysis on the base case. A comparison between the EDF method and the cost-to-capacity method, also known as the Power Law, will be applied to the equipment. The idea of the Power Law is that the change in equipment's size or performance is not necessarily linear to the costs but that cost is a function of capacity raised to an exponential factor. This can be expressed by Equation (5) [22].
where e is an exponential size factor that typically varies in the order of magnitude from 0.35 to 1.70 depending on the type of equipment [23]; for this study, it is assumed that the exponential factor is 1.0 for the absorber and desorber column, and for the rest of the equipment, it is considered as a factor of 0.65.

Absorber Packing Height
For this case study, the stages have been adjusted from 18 to 24 stages to find the lowest CO 2 captured cost (NOK/kg CO 2 ). It is assumed that the pressure drop in the absorber is a function of the number of stages and correlated with a factor of 1 kPa per stage. This will also affect the needed pressure increase from the fan. This is the same approach used by Kallevik; however, he used 0.94 kPa per stage [6]. The absorber efficiency, the lean/rich heat exchanger minimum temperature difference, and lean amine composition have been kept constant through the case study. However, to keep them constant, the lean amine feed and the inlet temperature of the desorber had to be adjusted.

Removal Efficiency
To explore economic performance while modifying the overall removal efficiency, a case study was conducted. First, the CO 2 captured cost (NOK/kg CO 2 ) was evaluated for two different efficiency cases (85% and 95%) as well as the base case (90%). Then, to find a more accurate case, by changing the lean amine flow rate, efficiency was adjusted from 82% to 89%, and for each case, the CO 2 captured cost was calculated. Here, the number of stages in absorber and desorber, the composition of recycling amine solvent, and the minimum temperature approach in the lean/rich heat exchanger remained the same as the base case.

The Lean/Rich Heat Exchanger Minimum Temperature Approach
Another case study was conducted to look into the economic performance of the lean/rich heat exchanger when the degree of heat recovery was changed. In the minimum approach temperature, CO 2 captured cost was calculated for four cases (∆T min = 5.5 • C, ∆T min = 7.5 • C, ∆T min = 12.5 • C, and ∆T min = 15 • C) as well as the base case (∆T min = 10 • C). According to the result obtained from these cases, the study was expanded on extra cases from 11 • C to 17 • C. Assuming the constant temperature for the reboiler outlet is equal to 120 • C and changing the temperature of the outlet-rich amine from the lean/reach heat exchanger, the ∆T min was adjusted for each case. For a particular total CO 2 removal efficiency, all flue gas and absorption column parameters were kept constant throughout the investigation, and the same was done for the rate and composition of lean amine flow.

Approach to Size Factor's Exponent Derivation
The methodology for deriving an exponent factor assumes a non-linear relationship between the size and the equipment cost-cost is a function of size raised to an exponent. However, a linear relationship appears by applying the natural logarithm to the size and the price. Therefore, the individual exponent can be derived by taking the natural logarithm of a data set of size and cost, making a data plot of the results, and then performing a linear regression from the data plot. The slope of the line represents the exponent, and the R-squared indicates how close the linear regression is to matching the data set [22]. To derive the individual equipment exponent factors, two sets of data from the Aspen In-Plant Cost Estimator was used. The first data set is from the "the absorber packing height"-variation, and the second is from "the CO 2 -efficiency and the ∆T min "-variations. Figure 3 illustrates the equipment cost in the CO 2 capture plant for the base case study. Total equipment cost is about 480 MNOK, and it is evident that the absorber is the most expensive equipment, with more than 40% of the total cost. It is worth mentioning that about 57% of the absorber's cost is the packing cost. The lean/rich heat exchanger and reboiler are the other expensive types of equipment, contributing 29% and 13% of the total cost, respectively.

Base Case Evaluation
ChemEngineering 2022, 5, x FOR PEER REVIEW 10 of 20 derive the individual equipment exponent factors, two sets of data from the Aspen In-Plant Cost Estimator was used. The first data set is from the "the absorber packing height"-variation, and the second is from "the CO2-efficiency and the ΔTmin"-variations. Figure 3 illustrates the equipment cost in the CO2 capture plant for the base case study. Total equipment cost is about 480 MNOK, and it is evident that the absorber is the most expensive equipment, with more than 40% of the total cost. It is worth mentioning that about 57% of the absorber's cost is the packing cost. The lean/rich heat exchanger and reboiler are the other expensive types of equipment, contributing 29% and 13% of the total cost, respectively.  Figure 4 shows the total OPEX for the base case study. With a cost of more than 61 MNOK per year, steam is the most expensive utility for this plant. This is about 60% of the total OPEX (105.5 MNOK). For each step of the analysis, the steam consumption has been calculated and compared. As shown in Figure 4, maintenance, MEA, and electricity are the other expensive cost components beside steam.   Figure 4 shows the total OPEX for the base case study. With a cost of more than 61 MNOK per year, steam is the most expensive utility for this plant. This is about 60% of the total OPEX (105.5 MNOK). For each step of the analysis, the steam consumption has been calculated and compared. As shown in Figure 4, maintenance, MEA, and electricity are the other expensive cost components beside steam.

Minimum Temperature Approach (ΔTmin) in Lean/Rich Heat Exchanger
This study is a trade-off between the area in the lean/rich heat exchanger and the requirements for external utility. When ΔTmin is changed, the area of the heat exchanger is changed. The most important trade-off is between the capital cost affected by the change

Minimum Temperature Approach (∆T min ) in Lean/Rich Heat Exchanger
This study is a trade-off between the area in the lean/rich heat exchanger and the requirements for external utility. When ∆T min is changed, the area of the heat exchanger is changed. The most important trade-off is between the capital cost affected by the change in the size of the lean/rich heat exchanger and the operational cost involved in the difference in the steam consumption.
The calculation of the sensitivity analysis for the lean/rich heat exchanger minimum temperature approach (∆T min ) is shown in Figure 5. The graph compares CO 2 captured cost (NOK/t CO 2 ) between the EDF-and Power Law method. According to Figure 5, the optimum ∆T min is equal to 12.5 • C when the Power Law method has been used, while with the EDF method, the lowest cost achieved is with a ∆T min = 15 • C. For further evaluation, other sensitivity analyses where the minimum temperature approach ranged from 11 • C to 17 • C were conducted and are shown in Figure 6.

Minimum Temperature Approach (ΔTmin) in Lean/Rich Heat Exchanger
This study is a trade-off between the area in the lean/rich heat exchanger and t requirements for external utility. When ΔTmin is changed, the area of the heat exchanger changed. The most important trade-off is between the capital cost affected by the chan in the size of the lean/rich heat exchanger and the operational cost involved in the diff ence in the steam consumption.
The calculation of the sensitivity analysis for the lean/rich heat exchanger minimu temperature approach (ΔTmin) is shown in Figure 5. The graph compares CO2 captur cost (NOK/t CO2) between the EDF-and Power Law method. According to Figure 5, t optimum ΔTmin is equal to 12.5 °C when the Power Law method has been used, while w the EDF method, the lowest cost achieved is with a ΔTmin = 15 °C. For further evaluatio other sensitivity analyses where the minimum temperature approach ranged from 11 to 17 °C were conducted and are shown in Figure 6.  Figure 6 shows that 15 °C is the calculated optimal minimum temperature approa for the two procedures, in which CO2 captured cost for the EDF-and Power Law meth are 363.6 NOK/t CO2 and 364.1 NOK/t CO2, respectively. However, a similar result is se for the Power Law method at ΔTmin = 13 °C. The results obtained from the EDF meth are much more stable than the Power Law and clearly show that the lowest CO2 captur cost has occurred at ΔTmin = 15 °C ( Figure 6). In terms of the Power Law method, the sam

CO 2 Captured Cost [NOK/t CO 2 ]
Power Law EDF Figure 5. Sensitivity analyses for minimum temperature approach, ∆T min (first optimization).
emEngineering 2022, 5, x FOR PEER REVIEW 12 exponent value (0.65) has been adopted for all types of equipment and in all various cumstances and capacities in this study. This could be a reason for the instability in results of this method. Figure 7 indicates the consumption of steam as the most expensive utility in diffe cases by evaluating the duty of reboiler per kilogram CO2 captured. Obviously, by incr ing the minimum temperature approach in the lean/rich heat exchanger, the amoun steam consumed in the reboiler increased. The steam consumption for ΔTmin optim calculated in this study is about 3820 kJ/kg.    Figure 6 shows that 15 • C is the calculated optimal minimum temperature approach for the two procedures, in which CO 2 captured cost for the EDF-and Power Law method are 363.6 NOK/t CO 2 and 364.1 NOK/t CO 2 , respectively. However, a similar result is seen for the Power Law method at ∆T min = 13 • C. The results obtained from the EDF method are much more stable than the Power Law and clearly show that the lowest CO 2 captured cost has occurred at ∆T min = 15 • C ( Figure 6). In terms of the Power Law method, the same exponent value (0.65) has been adopted for all types of equipment and in all various circumstances and capacities in this study. This could be a reason for the instability in the results of this method. Figure 7 indicates the consumption of steam as the most expensive utility in different cases by evaluating the duty of reboiler per kilogram CO 2 captured. Obviously, by increasing the minimum temperature approach in the lean/rich heat exchanger, the amount of steam consumed in the reboiler increased. The steam consumption for ∆T min optimum calculated in this study is about 3820 kJ/kg.

CO2 Removal Efficiency
First, for finding the optimum efficiency, by adjusting the flow rate of amine solvent circulation, CO2 captured costs for 85% and 95% efficiency were calculated and compared to the base case (90% efficiency). Figure 8 shows almost similar results for both the EDF and the Power Law methods. It seems that in this study, 85% is the optimal case. After

CO 2 Removal Efficiency
First, for finding the optimum efficiency, by adjusting the flow rate of amine solvent circulation, CO 2 captured costs for 85% and 95% efficiency were calculated and compared to the base case (90% efficiency). Figure 8 shows almost similar results for both the EDF and the Power Law methods. It seems that in this study, 85% is the optimal case. After this analysis, extra removal efficiencies alternatives were evaluated to obtain the exact optimum efficiency (Figure 9). Figure 9 compares the results of efficiencies from 82% to 89% in both the EDF-and Power Law methods. According to the graph, 87% is the optimum calculated efficiency in both approaches. The CO 2 captured cost is 360 NOK/t and 360.8 NOK/t for the EDF-and Power Law methods, respectively.
There is an instability in the results shown in Figure 9 for both the EDF-and Power Law method. Although the graph indicates almost the same trend for both scenarios, the reason for discrepancies between the obtained results for both models could be the selection of the same exponent in the Power Law method for all equipment in various capacities, similar to what was explained in the previous section for the minimum temperature approach. Additionally, uncertainties in calculations and simulations could be another reason for instability in the results. optimum efficiency (Figure 9). Figure 9 compares the results of efficiencies from 82% to 89% in both the EDF-and Power Law methods. According to the graph, 87% is the optimum calculated efficiency in both approaches. The CO2 captured cost is 360 NOK/t and 360.8 NOK/t for the EDF-and Power Law methods, respectively.  There is an instability in the results shown in Figure 9 for both the EDF-and Power Law method. Although the graph indicates almost the same trend for both scenarios, the reason for discrepancies between the obtained results for both models could be the selection of the same exponent in the Power Law method for all equipment in various capacities, similar to what was explained in the previous section for the minimum temperature approach. Additionally, uncertainties in calculations and simulations could be another reason for instability in the results.
The total annual cost and amount of CO2 captured in a year are demonstrated in Figure 10. This proves that by increasing the efficiency from 82% to 90%, all other items, including CAPEX, OPEX, total annual cost, and CO2 captured, gradually go up, and the results are entirely stable. So, the variation in the results shown in Figure 9 could be due to CO2 captured cost dependency on the total annual cost and the amount of CO2 captured

CO 2 Captured Cost [NOK/t CO 2 ]
Power Law EDF Figure 8. Sensitivity analyses for CO 2 capture efficiency (first optimization).
both approaches. The CO2 captured cost is 360 NOK/t and 360.8 NOK/t for the EDF-a Power Law methods, respectively.  There is an instability in the results shown in Figure 9 for both the EDF-and Pow Law method. Although the graph indicates almost the same trend for both scenarios, t reason for discrepancies between the obtained results for both models could be the sel tion of the same exponent in the Power Law method for all equipment in various capa ties, similar to what was explained in the previous section for the minimum temperatu approach. Additionally, uncertainties in calculations and simulations could be anoth reason for instability in the results.
The total annual cost and amount of CO2 captured in a year are demonstrated in F ure 10. This proves that by increasing the efficiency from 82% to 90%, all other items, cluding CAPEX, OPEX, total annual cost, and CO2 captured, gradually go up, and t results are entirely stable. So, the variation in the results shown in Figure 9 could be d to CO2 captured cost dependency on the total annual cost and the amount of CO2 captur

CO 2 Captured Cost [NOK/t CO 2 ]
Power Law EDF Figure 9. Sensitivity analyses for CO 2 capture efficiency (second optimization).
The total annual cost and amount of CO 2 captured in a year are demonstrated in Figure 10. This proves that by increasing the efficiency from 82% to 90%, all other items, including CAPEX, OPEX, total annual cost, and CO 2 captured, gradually go up, and the results are entirely stable. So, the variation in the results shown in Figure 9 could be due to CO 2 captured cost dependency on the total annual cost and the amount of CO 2 captured simultaneously, which cause some uncertainty in results for some cases, especially 83% or 84% efficiency.
The steam consumption in the reboiler has been compared for various efficiencies in Figure 11. It shows almost identical steam consumption for removal efficiency from 82% to 89% in the range of 3472 to 3603 kJ/kg CO 2 captured, while the calculated duty of the reboiler for 95% efficiency is about 6324 kJ per kilogram CO 2 captured. This is almost twice as much as other cases, so this could be a significant reason why the CO 2 captured cost in this efficiency is much higher than in other cases. simultaneously, which cause some uncertainty in results for some cases, especially 83% or 84% efficiency. The steam consumption in the reboiler has been compared for various efficiencies in Figure 11. It shows almost identical steam consumption for removal efficiency from 82% to 89% in the range of 3472 to 3603 kJ/kg CO2 captured, while the calculated duty of the reboiler for 95% efficiency is about 6324 kJ per kilogram CO2 captured. This is almost twice as much as other cases, so this could be a significant reason why the CO2 captured cost in this efficiency is much higher than in other cases.

Absorber Packing Height
This study is a trade-off between amine flow rate and the number of stages in the absorber: the solvent flow rate increases when the number of absorber stages decreases, and vice versa. The significant capital costs affected by this change are the size of the absorber and the heat transfer area in the lean/rich heat exchanger. The cost of the lean/rich heat exchanger is affected due to the change in amine flow. The primary operational costs   The steam consumption in the reboiler has been compared for various efficiencies in Figure 11. It shows almost identical steam consumption for removal efficiency from 82% to 89% in the range of 3472 to 3603 kJ/kg CO2 captured, while the calculated duty of the reboiler for 95% efficiency is about 6324 kJ per kilogram CO2 captured. This is almost twice as much as other cases, so this could be a significant reason why the CO2 captured cost in this efficiency is much higher than in other cases.

Absorber Packing Height
This study is a trade-off between amine flow rate and the number of stages in the absorber: the solvent flow rate increases when the number of absorber stages decreases, and vice versa. The significant capital costs affected by this change are the size of the absorber and the heat transfer area in the lean/rich heat exchanger. The cost of the lean/rich heat exchanger is affected due to the change in amine flow. The primary operational costs

Absorber Packing Height
This study is a trade-off between amine flow rate and the number of stages in the absorber: the solvent flow rate increases when the number of absorber stages decreases, and vice versa. The significant capital costs affected by this change are the size of the absorber and the heat transfer area in the lean/rich heat exchanger. The cost of the lean/rich heat exchanger is affected due to the change in amine flow. The primary operational costs affected by the change are fan power consumption, steam consumption, and amine consumption. The fan power consumption varies because the pressure is adjusted to simulate the pressure loss over the packing. The steam consumption is affected due to the amine flow change, and the amine consumption is probably affected by various temperatures and amine flow in the absorber. Figure 12 indicates the change in CO 2 captured cost (NOK/t CO 2 ) by adjusting the number of stages from 18 to 24 stages for the EDF-and Power Law method. Some variations between the two approaches can be observed, but no significant trend. There is also an indication of a global calculated minimum at stage number 19 and a local calculated minimum at stage number 22. the pressure loss over the packing. The steam consumption is affected due to the amine flow change, and the amine consumption is probably affected by various temperatures and amine flow in the absorber. Figure 12 indicates the change in CO2 captured cost (NOK/t CO2) by adjusting the number of stages from 18 to 24 stages for the EDF-and Power Law method. Some variations between the two approaches can be observed, but no significant trend. There is also an indication of a global calculated minimum at stage number 19 and a local calculated minimum at stage number 22.  Figure 13 shows the steam consumption (kJ/kg CO2) at different absorber stages. When the number of stages increases the flow rate of the amine solvent decreases, so a declining trend in reboiler duty can be observed, with the largest decline from stage 18 to 20 and a gradually flattening curve after that. The steam represents the most considerable expense. Even though its rate of change declines gradually with the increment of stages, the largest decline happens from 18 to 19 and the second largest from 19 to 20. By only considering the calculated numbers, the local minimum at 22 could be due to the significant decline in steam consumption from stage 21 to 22. However, the most likely explanation is either instability in the simulations or uncertainties in the calculations.    Figure 13 shows the steam consumption (kJ/kg CO 2 ) at different absorber stages. When the number of stages increases the flow rate of the amine solvent decreases, so a declining trend in reboiler duty can be observed, with the largest decline from stage 18 to 20 and a gradually flattening curve after that. The steam represents the most considerable expense. Even though its rate of change declines gradually with the increment of stages, the largest decline happens from 18 to 19 and the second largest from 19 to 20. By only considering the calculated numbers, the local minimum at 22 could be due to the significant decline in steam consumption from stage 21 to 22. However, the most likely explanation is either instability in the simulations or uncertainties in the calculations. number of stages from 18 to 24 stages for the EDF-and Power Law method. Some variations between the two approaches can be observed, but no significant trend. There is also an indication of a global calculated minimum at stage number 19 and a local calculated minimum at stage number 22.  Figure 13 shows the steam consumption (kJ/kg CO2) at different absorber stages. When the number of stages increases the flow rate of the amine solvent decreases, so a declining trend in reboiler duty can be observed, with the largest decline from stage 18 to 20 and a gradually flattening curve after that. The steam represents the most considerable expense. Even though its rate of change declines gradually with the increment of stages, the largest decline happens from 18 to 19 and the second largest from 19 to 20. By only considering the calculated numbers, the local minimum at 22 could be due to the significant decline in steam consumption from stage 21 to 22. However, the most likely explanation is either instability in the simulations or uncertainties in the calculations.

Size factor's Exponent Derivation
In Table 4, the derived exponents for the different types of equipment can be observed. The exponents are derived using the data set from the sensitivity analysis of "the absorber packing height". It is worth noticing the high R-squared value for all the types of equipment except the fan.  Table 5 indicates the derived exponents for the different types of equipment, using the sensitivity analysis of "the CO 2 -efficiency and the ∆T min " data set. It is worth noticing that this data set does not include the fan. Moreover, the R-squared is high value for all the types of equipment except the condenser. The R-squared value measures how close the data are to the fitted regression line. An R-squared value of 1 is an ideal approximation, and 0 indicates that the model explains none of the data points [24]. The R-squared values in Tables 4 and 5 suggest that all exponentsfor both data sets and the given size range, equipment type and material-are over 94%. This indicates that when using the exact specifications and scope, all the exponents are usable and a better choice than the average. The lean/rich heat exchanger, the reboiler, and the pump suggest that all the exponents for both data sets are over 98% and are almost ideal. This indicates that assuming the same specifications and size range, using these exponents with the Power law, will practically give the same result as the EDF method.
The exponents for the lean heat exchanger, the lean/rich heat exchanger, and the condenser are similar for both data sets. This indicates that the exponents can be used outside the size range of the given data sets, and when choosing which one from the given data set, the R-squared value and the proximity to the size range need to be considered.
The exponents for the reboiler and the pump deviate more for both data sets than the other equipment but indicate a value above the average exponent. This suggests that the exponents should be used with more care outside the given size range.
The exponent for the fan is only obtained from the "absorber height" data set. The exponents presented in Tables 4 and 5 are derived for the given size range, material, and equipment. The data are obtained from the Aspen In-Plant Cost Estimator and not the actual price. Additionally, the data sets are small. Therefore, it is essential to warrant a level of caution when using the exponents. However, most published exponents from the industry do not support specific items. Therefore, using the derived exponents will probably give a more precise result than the general exponent.

Comparison with Earlier Reports
The predicted cost of 360-380 NOK (36-38 Euro) per 1 ton CO 2 captured is low when compared to more detailed cost estimates on CO 2 capture cost reported in the literature, which show more than 50 Euro/t [14,15]. A probable reason for this could be the assumption of no pre-treatment, such as inlet gas purification or cooling, and no post-treatment, such as compression, transport, or storage of CO 2 . Additionally, it is more than the calculated cost of 180-190 NOK/t (18-19 Euro/t), which Øi et al. have evaluated [13].
A comparison between the results of this study and the other literature is shown in Table 6. All these studies have used a 29-30 (W%) MEA solvent in their simulations. The concentration of inlet CO 2 varies due to variation in plant's flue gases (NGCC power plant and Cement).

Absorber Stages
A similar study in Kallevik's master thesis [6] is for 90% removal efficiency and finds the global calculated minimum captured cost in 19 stages. Moreover, the hot utility requirement decreased from 4.02 to 3.51 MJ/kg CO 2 as the stages increased from stages 18 to 23. This is almost identical to Kallevik's findings, ranging from 3.88 to 3.51 MJ/kg CO 2 from stages 18 to 23 [6].
Øi et al. [13] calculated the global minimum at 12 m absorber packing height for 90% cleaning efficiency with a CO 2 -content of 17.8 mole%. This is a significant difference compared to the result in this report. When performing this sensitivity study, it was impossible to get the absorber to converge at 90% cleaning efficiency with fewer than 16 stages. This is similar to the Kalleviks study [6], where it only achieved a 90% removal rate between 14 and 23 stages. Husebye et al. argue that an increase in CO 2 concentration results in a decline in cost-especially between 2.5 and 10%. This happens because of higher CO 2 transfer, which needs less solvent [28]-therefore, one could have expected a lower number of stages.

Minimum Temperature Approach in the Lean/Rich Heat Exchanger
The results obtained for the EDF method clearly show that at ∆T min equal to 15 • C, the lowest CO 2 captured cost has been calculated, corresponding to Aromada et al.'s article [15]. In terms of the Power Law method, the calculated optimum minimum temperature approach in this study is ∆T min = 13 • C, similar to Kallevik [6] and Øi [13] studies. The cost can probably be reduced by changing to another type of heat exchanger. Øi points out in his PhD [7] that a plate heat exchanger may reduce the cost and will probably reduce the optimum ∆T min . According to Øi [7], a low ∆T min will reduce steam and reboiler duty. On the other hand, a high ∆T min will reduce the heat exchanger cost.

Total Efficiency
From the first optimization in this study, 85% is the optimal case, which corresponds to what is reported in Øi et al.'s article [13] and Kallevik's thesis [6]. Moreover, Ali [14] calculated the minimum CO 2 captured cost by changing the efficiency from 85% to 90%, in which the optimal case was reported as 87%. In this study, by evaluating the extra alternatives from 82% to 90%, the calculated optimum CO 2 capture efficiency corresponds to 87%.

Reboiler Duty
The duty of the reboiler for 90% CO 2 removal efficiency and calculated optimum ∆T min = 15 • C is about 3820 kJ/kg CO 2 captured, which almost corresponds to the values reported in previous works [11]. In Ali et al. [14], this figure for 90% efficiency and ∆T min = 10 • C is about 3970 kJ/kg, while for 85% efficiency and ∆T min = 15 • C, it is more than 4000 kJ/kg. In this study, the calculated reboiler duties at ∆T min equal to 10 • C for 90% and 85% efficiency are 3654 kJ/kg and 3493 kJ/kg, respectively. For 85% efficiency and ∆T min = 10 • C, Øi [11], Ali [14], and Aromada [3] reported in their studies the calculated reboiler duty to 3300 kJ/kg, 3900 kJ/kg and 3600 kJ/kg, respectively.

Conclusions
This work presented a cost estimation of an amine-based CO 2 capture process for a waste burning facility at Klemetsrud in Norway. The CAPEX and OPEX calculations were done by performing simulations in Aspen HYSYS using available data in Fortum's FEED report. For the base case, the total cost was calculated to 37.5 EUR per ton CO 2 captured, and energy consumption in the reboiler was calculated to 3654 kJ/kg.
The sensitivity analysis for the CO 2 removal efficiency is a trade-off between the quantity of CO 2 captured and the expense of a higher amine flow rate, which resulted in larger lean/rich heat exchanger, reboiler, and steam usage. This study resulted in 87% as the optimum calculated efficiency in the EDF-and Power Law methods. There the CO 2 captured costs were 36.7 EUR/t and 36.8 EUR/t, respectively. The reboiler duty was around 3500 kJ per kg CO 2 captured in the parameter assessment.
Sensitivity analysis of the ∆T min in the lean/rich heat exchanger is a trade-off between the area of the lean/rich heat exchanger and the required exterior utility. This analysis showed an optimum ∆T min of 15 • C from both the EDF-and Power Law methods, with a CO 2 removal cost of 37 EUR/t CO 2 . However, the Power Law approach also yielded a comparable result at ∆T min = 13 • C. In addition, the reboiler's average energy usage was around 3800 kJ per kg CO 2 captured.
The sensitivity analysis for the absorber packing height looks at the relationship between the amine flow rate and the number of absorber stages: as the number of absorber stages lowers, the solvent flow rate rises. The size of the absorber and the heat transfer area in the lean/rich heat exchanger are two key capital expenses that are influenced by this shift. Fan power consumption, steam consumption, and amine consumption are the three main operating costs affected by this adjustment. The fan power consumption fluctuates since the pressure is modified to compensate for pressure loss across the packing. Due to the amine flow modification, both steam and amine consumption are affected. This study resulted in 19 m as the optimum packing height. The CO 2 removal costs for the EDF and Power Law techniques are 37.3 EUR/t and 37.1 EUR/t CO 2 captured, respectively. In addition, the reboiler uses 3780 kJ of energy to extract 1 kg of CO 2 from the flue gas.
A new size of factor exponent in the Power Law approach has been proposed by considering the calculated cost from the EDF-method. The exponents have different values that are specific for different equipment. The derivation on average resulted in the following exponents: for the lean heat exchanger 0.74, for the lean/rich heat exchanger 1.03, for the condenser 0.68, for the reboiler 0.92, for the pump 0.88, and for the fan 0.23.
Even though the optimization in this work only decreases the CO 2 capture cost by about 3% compared to the base case, the total improvement is significant because the total cost is very large.