Sorption enhanced reforming
The main function of the bed material, which circulates between the two reactors, is the heat transport from the combustion reactor to the gasification reactor. Additionally, it acts as a transport medium of the residual char from the gasification reactor to the combustion reactor. Further, a suitable bed material is able to capture gaseous components from the product gas: in the SER process, limestone (mainly CaCO3) is used as a bed material. In situ CO2 capture in the gasification reactor according to Eq. (1), and its release in the combustion reactor is possible (Eq. (2)) by operating both reactors in a suitable temperature range. This allows the CO2 capture in the gasification reactor and its release in the combustion reactor. The temperature ranges for gasification and combustion reactor during SER depend on the equilibrium partial pressure of CO2 in Eq. (1). Typical temperatures in the gasification reactor are between 600 and 700 °C, whereas in the combustion reactor, the bed material is heated up above 830 °C. Stimulation of the water-gas shift reaction is obtained by the decreased CO2 content in the product gas (Eq. (3)). Therefore, a product gas composition with a H2 content up to 75 vol.-%db and CO2 contents of 5 vol.-%db can be reached.
$$ CaO+C{O}_2\to CaC{O}_3\kern1.75em \Delta {H}_R^{650}=-170\ \mathrm{kJ}/\mathrm{mol} $$
(1)
$$ CaC{O}_3\to CaO+C{O}_2\kern1.5em \Delta {H}_R^{850}=167\ \mathrm{kJ}/\mathrm{mol} $$
(2)
$$ CO+{H}_2O\leftrightarrow C{O}_2+{H}_2\kern0.75em \Delta {H}_R^{650}=-36\ \mathrm{kJ}/\mathrm{mol} $$
(3)
For many synthesis processes like methanation, a certain H2 to CO ratio is necessary. Typically, the product gas composition of the SER process is highly dependent on gasification temperature and bed material cycle rate [12, 13]. Via SER, an in situ adjustment of the H2 to CO ratio between 2 and 9 is possible, which is clearly superior over the conventional gasification with olivine as the bed material, where only a H2 to CO ratio up to 2 can be adjusted. Figure 2 shows the main product gas components and the H2 to CO ratio of SER (limestone) and the conventional gasification with olivine as the bed material over temperature.
Assumptions for modeling
The experimental results of different pilot plants are used as the basis for the modeling approach presented in this paper [14,15,16,17]. The results include experiments with pilot plants of significant plant sizes up to 200 kWth. Therefore, the presented values are highly representative and could also be used as a basis for scale-up to plant sizes in MW-scale. Two selected plant designs are presented in Fig. 3: TU Wien has designed an advanced dual fluidized bed test plant for the gasification of various fuels. A sketch of the plant is shown in Fig. 3 (left).
The reactors of the 100 kWth test plant are about 5 m high. The advanced reactor design enhances the gas-solid contact by a column with turbulent fluidized zones (upper gasification reactor), which is placed subsequent to the lower bubbling bed of the gasification reactor. The geometrical modifications in this upper part lead to an improved bed material holdup [18] and enlarge the range of applicable fuels because of higher tar and char conversion rates compared to other DFB systems. Further, gravity separators with gentle separation characteristics instead of cyclones support the use of soft bed materials such as limestone. The separation system prohibits high velocities of gas and particles and minimizes attrition effects. Additionally, a bed material cooling in the upper loop seal enables the defined setting of temperature differences between the gasification and combustion reactor for SER. A staged air input into the combustion reactor allows the effective control of the bed material cycle rate. Additional information can also be found in [12, 13, 19, 20].
A sketch of the 200 kWth test plant at IFK Stuttgart is shown in Fig. 3 (right). According to [21, 22], the plant consists of a 6 m high gasification reactor and a 10 m high combustion reactor. The control of the bed material cycle rate is done via an L-valve, which allows the recirculation of entrained bed material from the combustion reactor directly to the combustion reactor again. Further information and details about the experimental campaigns can be found in [14, 17].
The main product gas composition in dependence of temperature from different sources [14,15,16,17] is summarized in Fig. 4. It can be seen that the results are in a narrow range. This is remarkable, since the experiments were conducted with different plants and at different universities (TU Wien, University Stuttgart) with different process conditions (biomass fuel type, steam to carbon ratio, etc.). Typically, a H2 content about 70 vol.-%db can be reached in the temperature range between 600 and 700 °C, whereas the lowest CO and CO2 contents can be reached in this temperature range as well. With regard to the CH4 content in the product gas, a nearly linear decrease of the content in the dry product gas can be observed with increasing gasification temperature. The trend for higher hydrocarbons CxHy including ethene, ethane, and propane is similar, but not that clear. All authors found a nearly linear increase of the product gas yield with increasing temperature. The data summarized from different sources is used as a basis for the development of a mass balance based model of the gasification reactor. The overall objective of the model is to establish a detailed description of the carbon balance of the system and, secondly, to provide investigations and a description of the process regarding chemical equilibria to further increase the understanding of the SER process. The data used for modeling is plotted in black dotted lines in Fig. 4. A significant deviation from the measured data can be observed for the assumptions of CxHy. No higher hydrocarbons than C2H4 are considered in the model. Therefore, in the model, C2H4 is used as a component, which compensates for all higher hydrocarbons and also tar. Thus, a significantly higher amount of C2H4 is used to take all the residual carbon containing components into account.
To calculate a full quantitative balance of the components carbon (C), hydrogen (H), and oxygen (O), information about the introduced fuel is necessary. Table 1 shows the fuel composition of different types of fuel and therefore shows that biogenic fuels (especially lignocellulosic fuels) usually have a similar fuel composition regarding the C, H, and O content. In addition, the amount of volatiles is in a narrow range for biogenic fuels (volatiles typically indicate if the amount of residual char from gasification is similar). Therefore, it can be assumed that the applied model is valid for a broad range of biogenic fuels and not only for softwood. Table 1 also shows that the results must not be used for other fuel types like lignite or plastics: the ratio between the elements C, H, and O and the volatiles are too different. C1H1.5O0.7 was used as a general simple formula representing biomass for modeling of the process. This is based on the formulas published in [23], where a molar H to C ratio from 1.35 to 1.5 and a molar O to C ratio from 0.62 to 0.7 for wood are stated. Last but not least, the amount of introduced steam must be known. For all calculations, a steam to fuel ratio based on dry biomass of 0.8 kgsteam/kgbiomass is used. This is a typical value used in the SER experiments of the 100 kWth test plant at TU Wien [13].
Table 1 Typical fuel compositions of different fuel types and composition used for modeling Modeling
Based on the assumptions presented in Fig. 4 and Table 1, a model was invented to calculate the full quantitative balance of the main components C, H, and O for the gasification reactor over a temperature range from 600 to 850 °C (including char and CO2 bound in CaCO3, which leaves the gasification reactor). The model is based on the assumption that all the components introduced into the gasification reactor (fuel \( {{\overset{\cdot }{N}}_i}_{,\mathrm{fuel},\mathrm{in}} \)and steam \( {{\overset{\cdot }{N}}_i}_{,\mathrm{H}2\mathrm{O},\mathrm{in}} \)) must either leave the reactor as (i) product gas \( {{\overset{\cdot }{N}}_i}_{,\mathrm{PG},\mathrm{out}} \) and (ii) steam \( {{\overset{\cdot }{N}}_i}_{,\mathrm{H}2\mathrm{O},\mathrm{out}} \) or remain as solid residuals and are subsequently transported to the combustion reactor (Eq. 4). The two possible solid types are (iii) char \( {{\overset{\cdot }{N}}_i}_{,\operatorname{char},\mathrm{out}} \) and (iv) CO2 in the bed material (as CaCO3) \( {{\overset{\cdot }{N}}_i}_{,{CO}_2\ \mathrm{in}\ {\mathrm{CaCO}}_3,\mathrm{out}} \). A simplified scheme can be found in Fig. 5. Further, pictures of bed material samples taken from the lower loop seal (after gasification reactor) and the upper loop seal (after combustion reactor) during a test run with the advanced 100 kWth test plant at TU Wien are displayed in Fig. 5. It is obvious that for the applied conditions, approximately the whole char is burned in the combustion reactor: nearly no more black char particles are visible on the upper loop seal sample (bed material cycle rate of 7.7 h−1, GR temperature of 650 °C, and maximum CR temperature of 880 °C).
$$ {{\overset{\cdot }{N}}_i}_{,\mathrm{fuel},\mathrm{in}}+{{\overset{\cdot }{N}}_i}_{,\mathrm{H}2\mathrm{O},\mathrm{in}}={{\overset{\cdot }{N}}_i}_{,\mathrm{PG},\mathrm{out}}+{{\overset{\cdot }{N}}_i}_{,{\mathrm{H}}_2\mathrm{O},\mathrm{out}}+{{\overset{\cdot }{N}}_i}_{,\operatorname{char},\mathrm{out}}+{{\overset{\cdot }{N}}_i}_{,\mathrm{CO}2\mathrm{inCaCO}3,\mathrm{out}}\kern1.75em i=\mathrm{C},\mathrm{H},\mathrm{O} $$
(4)
$$ {{\overset{\cdot }{N}}_C}_{,\mathrm{PG},\mathrm{out}}={Y}_{\mathrm{PG}}\times {\overset{\cdot }{m}}_{\mathrm{fuel}}/{V}_m\times \left({y}_{\mathrm{C}\mathrm{O},\mathrm{PG}}+{y}_{\mathrm{C}\mathrm{O}2,\mathrm{PG}}+{y}_{\mathrm{C}\mathrm{H}4,\mathrm{PG}}+2\times {y}_{\mathrm{C}2\mathrm{H}4,\mathrm{PG}}\right) $$
(5)
$$ {{\overset{\cdot }{N}}_H}_{,\mathrm{PG},\mathrm{out}}={Y}_{\mathrm{PG}}\times {\overset{\cdot }{m}}_{\mathrm{fuel}}/{V}_m\times \left(2\times {y}_{\mathrm{H}2,\mathrm{PG}}+4\times {y}_{\mathrm{C}\mathrm{H}4,\mathrm{PG}}+4\times {\mathrm{y}}_{\mathrm{C}2\mathrm{H}4,\mathrm{PG}}\right) $$
(6)
$$ {{\overset{\cdot }{N}}_O}_{,\mathrm{PG},\mathrm{out}}={Y}_{\mathrm{PG}}\times {\overset{\cdot }{m}}_{\mathrm{fuel}}/{V}_m\times \left({y}_{\mathrm{CO},\mathrm{PG}}+2\times {y}_{\mathrm{CO}2,\mathrm{PG}}\right) $$
(7)
$$ {{\overset{\cdot }{N}}_H}_{,\mathrm{H}2\mathrm{O},\mathrm{out}}={{\overset{\cdot }{N}}_H}_{,\mathrm{fuel},\mathrm{in}}+{{\overset{\cdot }{N}}_H}_{,\mathrm{H}2\mathrm{O},\mathrm{in}}-{{\overset{\cdot }{N}}_H}_{,\mathrm{PG},\mathrm{out}};{{\overset{\cdot }{N}}_O}_{,\mathrm{H}2\mathrm{O},\mathrm{out}}={{\overset{\cdot }{N}}_H}_{,\mathrm{H}2\mathrm{O},\mathrm{out}}/2 $$
(8)
$$ {\displaystyle \begin{array}{c}{N}_{\mathrm{O},\mathrm{CO}2\mathrm{inCaCO}3,\mathrm{out}}={N}_{\mathrm{O},\mathrm{fuel},\mathrm{in}}+{N}_{\mathrm{O},\mathrm{H}2\mathrm{O},\mathrm{in}}-{N}_{\mathrm{O},\mathrm{PG},\mathrm{out}}-{N}_{\mathrm{O},\mathrm{H}2\mathrm{O},\mathrm{out}};\\ {}{N}_{\mathrm{C},\mathrm{CO}2\mathrm{inCaCO}3,\mathrm{out}}={N}_{\mathrm{O},\mathrm{CO}2\mathrm{inCaCO}3,\mathrm{out}}/2\end{array}} $$
(9)
$$ {{\overset{\cdot }{N}}_C}_{,\operatorname{char},\mathrm{out}}={{\overset{\cdot }{N}}_C}_{,\mathrm{fuel},\mathrm{in}}-{{\overset{\cdot }{N}}_C}_{,\mathrm{PG},\mathrm{out}}-{{\overset{\cdot }{N}}_C}_{,\mathrm{CO}2\mathrm{inCaCO}3,\mathrm{out}} $$
(10)
Equations 5, 6, and 7 show the equations for each component (C, H, O) in the product gas according to stoichiometric considerations. The molar flow of H and O in the gaseous water from gasification (\( {{\overset{\cdot }{N}}_i}_{,\mathrm{H}2\mathrm{O},\mathrm{out}} \)) can be calculated by the assumption that all the H, which is not in the dry product gas must be in the gaseous steam (Eq. 8). This is only valid if the char is modeled as pure C and therefore does not contain any H or O. Further, Eq. 9 demonstrates the calculation of the molar flow of O via bed material (CO2 transport in CaCO3): all the remaining O, which is not leaving the system via the product gas or the gaseous water, contributes to the molar flow of O in the bed material. Finally, the molar flow of C in the char can be calculated by subtracting the C flow in the product gas and the C flow in the bed material (Eq. 9). As already mentioned in Eqs. 8, 9, and 10, the char composition is modeled as pure C. In fact, char also contains H and O. A model for pyrolysis of biomass and the composition of the remaining char over temperature has been proposed by Neves et al. [24]. For this work, it is assumed that the model for pyrolysis is approximately valid for biomass steam gasification as well. This fact has already been verified in a previous work [25], and the used equations are presented in Eqs. 11, 12, 13, and 14. The results for Eqs. 12 to 14 are displayed in Fig. 6: the carbon content in the char typically rises with temperature:
$$ {y}_{\mathrm{total},\operatorname{char}}=\frac{0.93-0.92\times \exp \left(-0.42\times {10}^{-2}\times T\right)}{12}+\frac{0.07-0.85\times \exp \left(-0.48\times {10}^{-2}\ast T\right)}{16}+\frac{-0.41\times {10}^{-2}+0.10\times \exp \left(-0.24\times {10}^{-2}\times T\right)}{1} $$
(11)
$$ {y}_{\mathrm{C},\operatorname{char}}=\left(0.93-0.92\times \exp \left(-0.42\times {10}^{-2}\times T\right)\right)/12/{y}_{\mathrm{total},\operatorname{char}} $$
(12)
$$ {y}_{\mathrm{O},\operatorname{char}}=\left(0.07-0.85\times \exp \left(-0.48\times {10}^{-2}\times T\right)\right)/16/{y}_{\mathrm{total},\operatorname{char}} $$
(13)
$$ {y}_{\mathrm{H},\operatorname{char}}=\left(-0.41\times {10}^{-2}+0.10\times \exp \left(-0.24\times {10}^{-2}\times T\right)\right)/1/{y}_{\mathrm{total},\operatorname{char}} $$
(14)
The integration of Eqs. 11, 12, 13, and 14 into the model (Eqs. 4, 5, 6, 7, 8, 9, and 10) leads to the modification of Eqs. 8, 9, and 10 to Eqs. 15, 16, and 17. The set of equations is now nonlinear and is solved by iteration.
$$ {{\overset{\cdot }{N}}_H}_{,\mathrm{H}2\mathrm{O},\mathrm{out}}={{\overset{\cdot }{N}}_H}_{,\mathrm{fuel},\mathrm{in}}+{{\overset{\cdot }{N}}_H}_{,\mathrm{H}2\mathrm{O},\mathrm{in}}-{{\overset{\cdot }{N}}_H}_{,\mathrm{PG},\mathrm{out}}-{{\overset{\cdot }{N}}_C}_{,\operatorname{char},\mathrm{out}}/{y}_{C,\operatorname{char}}\times {y}_{H,\operatorname{char}} $$
(15)
$$ {{\overset{\cdot }{N}}_O}_{,\mathrm{CO}2\mathrm{inCaCO}3,\mathrm{out}}={{\overset{\cdot }{N}}_O}_{,\mathrm{fuel},\mathrm{in}}+{{\overset{\cdot }{N}}_O}_{,\mathrm{H}2\mathrm{O},\mathrm{in}}-{{\overset{\cdot }{N}}_O}_{,\mathrm{PG},\mathrm{out}}-{{\overset{\cdot }{N}}_O}_{,\mathrm{H}2\mathrm{O},\mathrm{out}}-{{\overset{\cdot }{N}}_C}_{,\operatorname{char},\mathrm{out}}/{y}_{C,\operatorname{char}}\times {y}_{O,\operatorname{char}} $$
(16)
$$ {{\overset{\cdot }{N}}_C}_{,\operatorname{char},\mathrm{out}}={{\overset{\cdot }{N}}_C}_{,\mathrm{fuel},\mathrm{in}}-{{\overset{\cdot }{N}}_C}_{,\mathrm{PG},\mathrm{out}}-{{\overset{\cdot }{N}}_C}_{,\mathrm{CO}2\mathrm{inCaCO}3,\mathrm{out}} $$
(17)
Further investigations focus on the calculation of chemical equilibria as well as their deviation from equilibrium state [26]. The general formula for calculation of the deviation from equilibrium pδeq is given in Eq. 18. One can derive from Eq. 18 that a value of zero for pδeq means that the equilibrium state is reached, whereas a deviation from zero indicates a deviation from the equilibrium state. A change of the algebraic sign shows a change in the reaction direction.
$$ p{\delta}_{\mathrm{eq}}\left({p}_i,T\right)={\log}_{10}\left[\frac{\prod \limits_i{p}_i^{\nu_i}}{K_P(T)}\right] $$
(18)