Accepted Manuscript Combined fluidized bed retorting and circulating fluidized bed combustion system of oil shale: 3. Exergy analysis
Mao Mu, Xiangxin Han, Xiumin Jiang PII:
S0360-5442(18)30509-7
DOI:
10.1016/j.energy.2018.03.100
Reference:
EGY 12558
To appear in:
Energy
Received Date:
04 February 2018
Accepted Date:
18 March 2018
Please cite this article as: Mao Mu, Xiangxin Han, Xiumin Jiang, Combined fluidized bed retorting and circulating fluidized bed combustion system of oil shale: 3. Exergy analysis, Energy (2018), doi: 10.1016/j.energy.2018.03.100
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ACCEPTED MANUSCRIPT
Combined fluidized bed retorting and circulating fluidized bed combustion system of oil shale: 3. Exergy analysis Mao Mu, Xiangxin Han, Xiumin Jiang Institute of Thermal Energy Engineering, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
Abstract Exergy analysis as well as energy analysis is applied to Chinese comprehensive utilization system, in which oil shale is firstly introduced to fluidized bed (FB) retort for obtaining oil and resulting semicoke is fed to circulating fluidized bed (CFB) reactor for further utilization. During the calculation, linear programming helps optimize the efficiency of FB retort in the system. In the light of the results, the process flow diagram of the whole system is redrawn. Also, this paper discusses how three operating parameters (the retorting temperature, the mass of burned fuel gas and the temperature of circulating ash) influence the system, especially exergy efficiency. With the retorting temperature increasing, the exergy efficiency first increase and then decrease, and the highest exergy efficiency is in the temperature range 460-490 oC. Compared with retorting temperature, the mass of burned fuel gas and circulating ash temperature have less effect on the exergy efficiency of the whole system. But it is a good strategy for stable operation of the system to burn more fuel gas to provide more energy and exergy to FB retorting unit. This work could give further detailed suggestions and more reference data to operate the system stably and efficiently.
*
To whom correspondence should be addressed. E-mail:
[email protected]
ACCEPTED MANUSCRIPT Key words: oil shale; retorting; combustion; exergy; energy; linear programming
ACCEPTED MANUSCRIPT 1
1. Introduction
2
For its giant reserve, oil shale, a substitute of crude, has been utilized and also still under
3
research [1, 2]. The utilization systems of oil shale are classified into three kinds of modes:
4
retorting modes of obtaining oil and fuel gas, direct combustion modes of obtaining electricity,
5
and the comprehensive modes of obtaining diverse products [3]. And the first two are
6
conventional modes. Conventional retorting modes, only producing oil and little fuel gas, has poor
7
efficiency [4]. In China, Fushun retorting system (FS) is such an example of conventional
8
retorting system. Energy and exergy analysis of the Fushun retorting system show that the greatest
9
exergy destruction happens to the retort unit, and the optimization only improves the exergy
10
efficiency from 34.17% to 36.58% [5, 6]. Compared with the conventional retorting modes, the
11
comprehensive utilization system usually has higher efficiency, and less pollutant emissions.
12
Several comprehensive utilization systems are recommended, such as British tri-generation system
13
[7], Estonian SPC technology [8] and Chinese comprehensive utilization system[9, 10]. Chinese
14
comprehensive utilization system (CCU) is put forward recently by the authors. In the system, the
15
oil shale is firstly introduced to the fluidized bed (FB) retort to have oil shale decomposed into oil,
16
gas and semicoke; the resulting semicoke is the fuel of circulating fluidized bed (CFB) boiler.
17
Finally, the ash from the CFB would be ingredients of building materials. It should be noted that
18
the required energy for pyrolysis reaction in the FB retort is complemented by hot circulating ash
19
from CFB boiler and hot circulating fuel gas from the fuel gas heater.
20
The hot circulating fuel gas not only provide the energy for pyrolysis, but also fluidize the
21
materials in the retort unit. There has been a research on pyrolysis that use nitrogen and steam as
22
fluidizing gas, and electric heater supply all the energy the pyrolytic reactions need [11]. 3
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According to the research, oil from the fluidized bed retort unit with nitrogen and steam
24
atmosphere is 7% and 15% more respectively than that from the Fischer assay. The beneficial
25
results are mainly attributed to two reasons: First, the gas and solids are mixed well, and the heat
26
transfers more easily and efficiently; Second, the reaction time is short and the decomposition of
27
oil is slight. Besides, one pilot scale experiment in which there are two fluidized bed reactors is
28
conducted in Harbin China [12]. One is the retort unit, and another is the combustor to burn the
29
resulting semicoke that has several toxic compounds to avoid the environment problems [13].
30
Then the hot ash from the combustor is introduced to the retorting unit to heat the oil shale. The
31
experiments indicate that two units could operate stably and consecutively, and the ash from the
32
fluidized bed combustor has only 0.32% residual carbon. What’s most important, the received oil
33
has more light fractions and less density, but it is just 80% of oil from Fischer assay. The yield
34
decline of oil is adverse and ascribed to that ash could not only adsorb the oil but also catalyze the
35
decomposition of oil [14]. That is, the more energy provided by the hot circulating fuel gas, the
36
better for oil yield.
37
For optimizing CCU system further, the authors have applied energy analysis to
38
comprehensive utilization system [15]. And the results indicate the retorting temperature should
39
be about 460~490 oC. As a more powerful tool than energy analysis, exergy analysis is widely
40
used in different system [16, 17], also in the Fushun retorting system (FS) [5, 6, 18]. But the
41
exergy analysis has not been made to the CCU system, and the energy and exergy loss
42
distributions in the system also are not obtained, which is critical for enhancing efficiency of the
43
comprehensive system. So, in this paper, both energy and exergy analysis are applied to CCU
44
system. And then the energy and exergy loss distributions of the system are determined. 4
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Furthermore, the effects of several operating parameters are discussed. These results can give
46
further suggestions and reference data on how to operate the comprehensive system stably and
47
efficiently.
48
2. Calculated basis
49
2.1 Process flow diagram
1. raw oil shale; 2. flue gas; 3. dried oil shale; 4. exhausted gas; 5. hot circulating fuel gas; 6. hot circulating ash; 7. semicoke& circulating ash; 8. vapor& gases(hot); 9. vapor& gases(cool); 10. fuel gas 2; 11. fuel gas 3; 12. fuel gas 1; 13. cool water; 14. shale oil; 15. water; 16. fuel gas 4; 17. fuel gas 5; 18 remaining fuel gas; 19. air 1; 20. burned fuel gas; 21. fuel gas 6; 22. flue gas 1; 23. feed water;24. air 2; 25. steam; 26. ash; 27.flue gas 2; Figure 1 process flow diagram of Chinese comprehensive utilization system of oil shale 50
Based on the description in the previous research [9], the process flow diagram of Chinese
51
comprehensive utilization system is shown in Figure 1. In Drier, the flue gas (No.27& 22) from
52
circulating fluidized bed boiler (CFB) boiler and fuel gas heater (FGH) heat and dry the raw oil
53
shale (No.1). Next, the dried oil shale (No.3) is introduced to fluidized bed retorting furnace and
54
transmutes into semicoke, shale oil, water and fuel gas. This reaction requires extra energy which
55
is complemented by the hot circulating ash (No.6) from CFB and hot circulating fuel gas (No.5) 5
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from FGH. Also, the circulating fuel gas fluidizes the materials, heats the materials and takes the
57
gaseous products out from retorting furnace. The hot gaseous stream (No.8) flow through a cooler
58
and separator system in turn, finally is classified into oil (No.14), water and fuel gas (No.12). The
59
non-condensable fuel gases are divided into four parts: one part of them (No.10) are heated in two
60
heaters, the cooler and FGH; one part of them (No.21) are only heated in FGH, then mixed up
61
with the previous describing part, and the joined two parts finally are fed into retorting furnace as
62
hot circulating fuel gases; one part of them (No.20) are directly introduced to fuel gas heater as
63
fuel to be burned. The remain part are stored in gas can for further use.
64
The solid product, semicoke along with circulating ash (No.7), is directly fed into CFB boiler
65
as fuel. And energy from the semicoke convert into three shares. One proportion heat the water
66
and generate superheated steam; one proportion heat the circulating ash (No.6) which is then
67
introduced to retorting furnace; the last are remaining in flue gas and bottom ash (No.26). The flue
68
gas from the CFB boiler are merged with flue gas from fuel gas heater, and then flow through the
69
oil shale drier.
70
Based on the previous discussing process flow diagram, self-developed programs are used to
71
calculate the energy and exergy distribution of the whole system. Especially, linear programing
72
helps optimize the energy and exergy efficiency of FB retort simultaneously; and the self-
73
developed C programs calculate the energy flow of CFB boiler. Such calculations help determine
74
the parameters of every unit and every stream. And detail parameters of every material stream in
75
the system are listed in the Table 1.
76
2.2 Input parameters
77
The oil shale introduced to the system comes from Dachengzi mine, Huadian. A series of 6
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experiments have investigated the pyrolysis of this oil shale [9, 19, 20], and the data from these
79
researches are base for the further calculation. Table 2 summarizes the basic operating conditions
80
of the system. Also, physical parameters of materials are critical for calculation, such as the heat
81
capacity of ash, semicoke, and oil shale, which are discussed in the following parts.
82
Table 1 parameters of every material stream at 490 oC
fuel gas heater input
output retorting unit input
output cooler input out put CFB boiler input
output
separators input output
air burned fuel gas fuel gas 6 fuel gas 3 flue gas hot circulating fuel gas
No 19 20 21 11 22 5
mass(kg/h) 29888 5000 30000 135000 34888 165000
pressure 1 atm 1 atm 1 atm 1 atm 1 atm 1 atm
Temp(oC) 25 65 65 457 130 617
dried oil shale hot circulating fuel gas hot circulating ash semicoke & circulating ash vapor & gases
3 5 6 7 8
91621 165000 280000 344002 192619
1 atm 1 atm 1 atm 1 atm 1 atm
50 617 825 490 490
vapor & gases fuel gas 2 vapor & gases (cool) fuel gas 3
8 10 9 11
192619 135000 192619 135000
1 atm
490 65 250 457
semicoke & circulating ash air 2 feed water steam ash hot circulating ash flue gas
7 24 23 25 26 6 27
344002 164042 91400 91400 47029 280000 180679
vapor & gases (cool) cool water fuel gas 1 shale oil water
9 13 12 14 15
192619 350000 170547 18577 353494
83 7
6.17Mpa 5.39Mpa
490 25 150 450 130 825 130 250 25 65 65 65
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2.3 Specific heat capacity of ash and oil shale semi-coke
85
Specific heat capacity is critical for energy and exergy calculation. The process involves
86
three solid materials, the oil shale, oil shale semicoke and the resulting ash, and they are blends.
87
Specific heat capacity of them could be simulated in the Aspen Plus, and also tested by
88
experiments. A few researches have tested the specific heat capacity of them. And if the two
89
results are narrowly close, the tested results are preferred; otherwise, more discussions should be
90
made.
91
According to Wang’s research [21], the tested specific heat capacity of oil shale is near to the
92
simulated test by Aspen Plus. Furthermore, so is the heat capacity of oil shale semicoke tested by
93
Liu [22]. But the calculated heat capacity of oil shale ash according to formula proposed by
94
research [21] is rather different from that of simulation. The simulated specific heat capacity of
95
ash by Aspen Plus is 0.995 kJ/(kg·oC), and this value is preferred because specific heat capacity of
96
similar materials, such as soil, and brick, is just around 0.8 kJ/(kg·oC).
97
Table 2 base operating conditions for calculation
Process unit
parameters
unit
values
Drier FB retort
Feed rate of raw oil shale temperature pressure Heat loss, q5 pressure Circulating ash ratio Excess air ratio temperature pressure Excess air ratio
t/h oC atm % atm
100 490 1 [2,5] 1 6 1.2 850 1 1.2
CFB
Fuel gas burner
98 99 100
oC
atm
2.4 Assumptions This work focuses on the energy and exergy flow of Chinese comprehensive utilization (CCU) system, and some basic assumptions for the calculation are listed as follows: 8
ACCEPTED MANUSCRIPT 101
1.The temperature (T0) and pressure(p0) of surroundings are respectively 25oC and 1atm; Air
102
mentioned in this paper consists of 21%O2 and 79% N2 in volume.
103
2.The components of shale oil are still assumed same as previous research [15]. Without chemical
104
reaction, physical properties of the assumed oil (specific heating capacity, entropy change) are still
105
applied to calculate the energy and exergy flow; if chemical reaction (pyrolysis and combustion)
106
happens, the heating value of assumed oil is not suitable for the calculation. The lower heating
107
value of actual shale oil is smaller than that of presumed shale oil, there should be a ratio between
108
the heating value of actual oil and that of assumed oil. And the ratio between LHV of actual oil
109
and that of assumed oil is given after several times iterations. Besides, all the heating value
110
involved in this paper is lower heating value, thus, the enthalpy of steam in the flue gas should
111
exclude the latent heat of evaporation.
112
3.The whole system is under steady operation, and every unit in the system is under equilibrium.
113
Also, even though the hot circulating ash that declines the yields of oil is introduced to the
114
fluidized bed retort, the obtained oil is supposed to equal the oil yield in the previous experiments.
115
4. The pipeline and auxiliary facilities combine the system together. The energy and exergy loss of
116
pipeline are negligible; but, the energy that auxiliary facilities (pumps, fans and so on) need is
117
from the electricity and it equals 22.5% oil shale exergy [23].
118
5. The stream from retorting unit consist of two phases: gas phase is a mixture of fuel gas, oil
119
steam and water; solid phase contains semicoke and circulating ash. There is difference between
120
the exergy of gas mixture and the summary exergy of all individual pure gas, but, for the whole
121
system, the differences are counteracted because they are calculated in even times. On the other
122
hand, the exergy of solid blend equals the summary exergy of pure solid. 9
ACCEPTED MANUSCRIPT 123 124
2.5 Mathematic calculation of exergy Previous assumptions simplify the calculation of exergy, and the equations used are listed in
125
the following.
126
2.5.1 Exergy of streams
127 128
When a substance experience non-adiabatic process, the exergy change could be formulated as following differential equation: 𝑇0
129
𝑑𝐸𝑥𝑠,ℎ = 𝑑𝑞(1 ‒ 𝑇 )
130
In which, q is heat gain or loss in the process, T is the temperature of substance, T0 is the
131
temperature of backgrounds, and in this paper T0 is 298.15K.
(1)
132
When the temperature of heat source is isothermal, the formula (1) could transmute into
133
𝐸𝑥𝑠,ℎ = 𝑞(1 ‒ 𝑇 )
134 135 136
𝑇0
(2)
This equation can calculate the exergy loss of retorting unit. If temperature changes, the exergy could be determined through integrating equation (1), and result is: 𝑑𝑇
137
𝐸𝑥𝑠,ℎ = ∫𝐶𝑝𝑑𝑇 ‒ 𝑇0∫𝐶𝑝 𝑇
(3)
138
Where Cp is specific heat capacity, and the equation (3) could transform into equation (4) if Cp
139
doesn’t vary with temperature. Equation (4) could be applied to calculate exergy of solid
140
substance (ash, semicoke and oil shale), when Cp is the average specific heat capacity of the
141
process.
142
𝑇
𝐸𝑥𝑠,ℎ = 𝐶𝑝(𝑇 ‒ 𝑇0 ‒ 𝑇0ln 𝑇 ) 0
(4)
143
For gas phase, the enthalpy and the entropy of every individual component could be obtained
144
easily by looking into database in Aspen plus. So, exergy could be calculated as following 10
ACCEPTED MANUSCRIPT 145
equation:
146
𝐸𝑥𝑠,ℎ = ℎ ‒ ℎ0 ‒ 𝑇0(𝑠 ‒ 𝑠0)
147
In which, h and h0 respectively represent the enthalpy when temperature is T and T0; similarly, s
148
and s0 are the entropy corresponding to T and T0, respectively.
(5)
149
However, exergy in the previous calculations is just physical exergy (Exs,h), and does not
150
include the chemical exergy. In the retorting unit and fuel gas burner where chemical reactions
151
happen, chemical exergy play significant role. So the chemical exergy of oil shale, oil shale
152
semicoke and fuel gas are calculated according to the following equations [24].
153
𝐸𝑥𝑠,𝑐ℎ = 𝐿𝐻𝑉
154
𝐸𝑥𝑠,𝑐ℎ = 𝐿𝐻𝑉 ∗ 1.0038 + 0.1365 𝐶 + 0.0308𝐶 + 0.0104𝐶
155
𝐸𝑥𝑠,𝑐ℎ = 𝐿𝐻𝑉 ∗ 1.0064 + 0.1519 𝐶 + 0.0616𝐶 + 0.0429 𝐶
(6)
(
𝐻
𝑂
𝑆
)
(7)
(
𝐻
𝑂
𝑁
)
(8)
156
Where C, H, O, N, and S are the ultimate analysis results of corresponding fuel, LHV is
157
abbreviation of low heating value. And chemical exergy (Exs,ch ) of gas, liquid and solid fuel are
158
calculated according to equation (6), (7), and (8) respectively. So, for the combustible material
159
stream introduced to the retorting unit and fuel gas burner unit, exergy (Exs) is determined as
160
equation (9), so does the products from the two units:
161 162
𝐸𝑥𝑠 = 𝐸𝑥𝑠,𝑐ℎ + 𝐸𝑥𝑠,ℎ
(9)
2.5.2 Exergy and energy balance model for crucial retort part
163
FB retort is one of the crucial units in the system, and hot fuel gases and circulating ash are
164
introduced to retorting furnace to provide the energy and exergy that pyrolysis reaction of oil shale
165
require. Products out from the retorting furnace consists of two phase, solids and gas. It would
166
make the calculation of the whole system more effective to ascertain the operation conditions of
11
ACCEPTED MANUSCRIPT 167
FB retort firstly. To make the calculation of FB retort more succinct, the schematic of enthalpy
168
flow and exergy flow was shown in the Figure 2. According to the thermodynamics laws, the
169
energy and exergy balance equations are established.
170
𝐻𝑓𝑔 + 𝐻𝑎𝑠ℎ + 𝐻𝑜𝑖𝑙 = 𝐻𝑙𝑜𝑠𝑠 + 𝐻𝑔𝑎𝑠 + 𝐻𝑠𝑜𝑙𝑖𝑑𝑠
(10)
171
𝐸𝑥𝑓𝑔 + 𝐸𝑥𝑎𝑠ℎ + 𝐸𝑥𝑜𝑖𝑙 > 𝐸𝑥𝑙𝑜𝑠𝑠,ℎ + 𝐸𝑥𝑔𝑎𝑠 + 𝐸𝑥𝑠𝑜𝑙𝑖𝑑𝑠
(11)
Figure 2 skematic of energy and exergy balance in the retorting unit Subscripts: solids and gas mean the phase of products;fg and os are short for fuel gas and oil shale respectively;
172 173
Exergy destruction inevitably occur to FB retort unit, and consists of two parts: one part is
174
accompanied with energy loss (Exloss,h), and determined by equation (2); another part is the exergy
175
loss of retorting reaction because the pyrolysis reaction is irreversible. In the equation (11), the
176
latter part is not given. Furthermore, exergy destruction in the retorting unit Exdes is determined as
177
follows:
178 179 180 181
𝐸𝑥𝑑𝑒𝑠 = 𝐸𝑥𝑓𝑔 + 𝐸𝑥𝑔𝑎𝑠 + 𝐸𝑥𝑠𝑜𝑙𝑖𝑑𝑠 ‒ (𝐸𝑥𝑎𝑠ℎ + 𝐸𝑥𝑜𝑖𝑙 + 𝐸𝑥𝑓𝑔)
(12)
2.6 Linear programming of retorting unit Just considering per kilogram dried oil shale introduced to the FB retort, energy and exergy balance equations could be simplified as following:
12
ACCEPTED MANUSCRIPT
{
182
𝑚𝑎𝑠ℎℎ𝑎𝑠ℎ + 𝑚𝑓𝑔ℎ𝑓𝑔 + ℎ𝑜𝑠 = ℎ𝑙𝑜𝑠𝑠 + 𝑚𝑠𝑜𝑙𝑖𝑑𝑠ℎ𝑠𝑜𝑙𝑖𝑑𝑠 + 𝑚𝑔𝑎𝑠ℎ𝑔𝑎𝑠 𝑚𝑎𝑠ℎ𝑒𝑥𝑎𝑠ℎ + 𝑚𝑓𝑔𝑒𝑥𝑓𝑔 + 𝑒𝑥𝑜𝑠 > 𝑒𝑥𝑙𝑜𝑠𝑠,ℎ + 𝑚𝑠𝑜𝑙𝑖𝑑𝑠𝑒𝑥𝑠𝑜𝑙𝑖𝑑𝑠 + 𝑚𝑔𝑎𝑠𝑒𝑥𝑔𝑎𝑠
(14)
183
More specifically, hloss should be constrained. Firstly, the constraints are presumably described as
184
equation (15); and after iterations the final hloss should follow the constraints of q5 listed in Table
185
2.
{
186
ℎ𝑙𝑜𝑠𝑠 < 0.008ℎ𝑜𝑠 ℎ𝑙𝑜𝑠𝑠 > 0.001ℎ𝑜𝑠
(15)
187
When temperature of circulating ash (Tash) and circulating fuel gas (Tfg) introduced to retorting
188
unit are determined, the energy (hash, hfg) and exergy (exash, exfg) per kilogram medium introduced to
189
retorting furnace could be calculated. However, the mass of circulating ash (mash) and circulating fuel
190
gas (mfg) remain uncertain. Fortunately, the ranges of these two parameters, can be narrowed by linear
191
programming.
192 193
Taking temperature of retorting furnace TR=490 oC, Tash=825 oC and Tfg=617oC as an example, the equations (14) and (15) are further simplified as:
{
194
334𝑚𝑎𝑠ℎ + 302.73𝑚𝑓𝑔 > 1471.35 334𝑚𝑎𝑠ℎ + 302.73𝑚𝑓𝑔 < 1555.97 22.3𝑚𝑎𝑠ℎ + 7.40𝑚𝑓𝑔 > 26.1
(16)
195
In fact, the mass of media introduced to retorting furnace is also limited, especially the hot
196
circulating fuel gas. Because the energy heating the fuel gas comes from the combustion of the
197
producing fuel gas. Therefore, it needs several times iteration of the whole system to get proper
198
mash and mfg in Figure 3.
13
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a) TR=490oC b) TR=520 oC Figure 3 skematic of optimizing the mass of circulating ash and circualting fuel gas 199
3. Results and discussions
200
Aspen Plus provides database to calculate the entropy, enthalpy and exergy of gas and shale
201
oil, as well as the specific heat capacity of ash; these fundamental data help establish the balance
202
equation of energy and exergy for every unit in the comprehensive system. Specifically, the
203
energy balance of CFB is calculated by a self-developed program. After several times iteration,
204
how much the circulating ash and fuel gas should be introduced to the retorting unit is determined.
205
Then, the energy loss and exergy destruction of the whole system are determined. In addition,
206
several operating parameters are also investigated to optimize the performance of whole system.
207
3.1 Effect of retorting temperature
208
Retorting temperature, as one of the key operating parameters, has great influence on mass
209
yields and components of pyrolysis products, and influence the energy and exergy balance of
210
retorting unit, even of whole system.
211
Previous studies have investigated the effects of retorting temperature on yields and pyrolytic
212
products components of Huadian oil shale [19, 20, 25]. Higher retorting temperature results in
213
more yields of shale oil, but the mass yield of oil only increases by 0.81% when temperature 14
ACCEPTED MANUSCRIPT 214
improves from 460 to 520 oC [9]. On the other hand, the higher retorting temperature also makes
215
for secondary cracking and coking reactions of oil [26-28], which indicates the lower heating
216
value (LHV) of oil obtained from escalating retorting temperature should decline gradually.
217
Furthermore, escalating retorting temperature make for the secondary coking and cracking
218
reactions and promotes both the yield of total fuel gas and the individual H2 mass in the fuel
219
gas[29, 30]. That is, the calculated LHV and specific heat capacity of fuel gas escalate because H2
220
has high LHV and specific heat capacity. Finally, the increasing retorting temperature leads to
221
more sufficient decomposition of organics within semicoke, so both the mass yield and LHV of
222
semicoke decline. All the details could be seen in the Figure 4 a). In general, taking the LHV and
223
mass yield of products into consideration, the energy distribution of products in different retorting
224
temperature could be obtained and showed in Figure 4 b). As previous discussions indicate, the
225
energy of semicoke declines with retorting temperature improving. On the contrary, the energy of
226
fuel gas increase. What’s more, the energy of shale oil firstly improves, then declines and should
227
have a local maximum during the range, 460~490 oC.
a) products’ lower heating value b) the energy distribution of products Figure 4 Effect of retorting temperature on products 228
In the Figure 4 b), the energy of oil shale introduced to the retorting unit (Hos) is showed as a
229
straight line, and the energy over the straight line is the energy that should be compensated for the 15
ACCEPTED MANUSCRIPT 230
pyrolysis reaction. And the extra needed energy of pyrolysis reaction could be determined
231
according to Hess’s Law and the first law of thermodynamics [31]. The pyrolysis reaction is
232
supposed to be divided into two steps. First, the pyrolysis reaction happens at room temperature,
233
and reaction heat of this pyrolysis reaction (HI) could be determined by Hess’s Law. The results
234
are showed in Figure 4 b). Second, all the products take in the extra energy (HⅡ) and are heated
235
from room temperature to the retorting temperature. Figure 4 b) also indicates HⅡ. In all, the
236
energy need for the pyrolysis reaction at retorting temperature (H) equals the sum of reaction heat
237
in first step reaction (HI) and the extra energy in the second step process (HⅡ). The exergy for
238
pyrolysis reaction (Ex) in different retorting temperature are also calculated in the same way, and
239
both exergy and energy that pyrolysis reaction requires are shown in Figure 5. It is obvious that
240
the total needed energy and exergy increase with retorting temperature.
241
The total energy needed for pyrolysis reaction is provided by hot circulating ash and hot fuel
242
gas. If the temperature and mass of hot circulating ash are constants, increasing retorting
243
temperature would reduce the temperature drop of hot circulating ash, therefore the energy and
244
exergy provided by hot circulating ash decrease progressively as retorting temperature increase.
245
Complementarily, the hot fuel gas should offer more energy and exergy, which is shown in the
246
Figure 5. But the mass of fuel gas burned to heat the circulating fuel gas shows a declining trend
247
when retorting temperature increase from 490 to 520 oC, because retorting temperature above 500
248
oC
249
produce more H2 and CH4.
would result in secondary decomposition of shale oil and organics within semicoke, which
250
As energy loss and exergy destruction exist during the reaction, the summary energy and
251
exergy provided by the two mediums must be bigger than the total energy and exergy needed for 16
ACCEPTED MANUSCRIPT 252
reaction. The discrepancy between them are used to determine the loss ratio of retorting unit as
253
following equations:
254
𝜂𝐻 =
255 256
𝜂𝐸𝑥 =
𝐻𝑓𝑔 + 𝐻𝑎𝑠ℎ ‒ 𝐻 𝐻𝑓𝑔 + 𝐻𝑎𝑠ℎ
𝐸𝑥𝑓𝑔 + 𝐸𝑥𝑎𝑠ℎ ‒ 𝐸𝑥 𝐸𝑥𝑓𝑔 + 𝐸𝑥𝑎𝑠ℎ
(17) (18)
Where, ηH and ηEx are energy loss ratio and exergy destruction ratio respectively.
a) Energy b) Exergy Figure 5 comparison of energy and exergy needed and provided 257
a) ηH and ηEx of retorting unit
b) exergy destruction distribution in the system
Figure 6 the effect of retorting temperature on exergy of individual unit in CCU system
258
As we can see in Figure 6 a), the energy loss ratio and exergy destruction ratio also vary with
259
different retorting temperature. Take Tash=825 oC as an example. Energy loss ratio escalates with
260
increasing retorting temperature (TR) except 490 oC. because only the operating conditions at 490
261
oC
262
slightly adjusted and optimized on the basis of that at 490 oC. For exergy loss ratio, the exergy
get optimized completely, and operating conditions at other retorting temperature (TR) are
17
ACCEPTED MANUSCRIPT 263
destruction ratio at 430 oC is the biggest, and the exergy destruction ratios at other retorting
264
temperature are close.
265
As Figure 6 b) shows, retorting temperature also has great influence on exergy destruction of
266
other units in CCU system. Specifically, exergy destructions of three units (fuel gas heater,
267
separators and cooler) increase with retorting temperature increase; but exergy destruction of other
268
two units (CFB boiler and retorting unit) show opposite trend. It can be concluded that bigger
269
exergy destruction take place where bigger temperature difference exists and fiercer combustion
270
reaction happens. In addition, it is evident that exergy destruction from the combustion process (of
271
semicoke and fuel gas) predominantly makes up of the whole exergy destruction of system.
272
3.2 Effect of circulating ash temperature
273
The circulating ash introduced to retorting unit is from CFB furnace, and its temperature as
274
well as the retorting temperature determines the temperature drop of circulating ash. That is, the
275
energy and exergy from circulating ash are also influenced by ash temperature. So are the energy
276
loss and exergy destruction ratio. As we can see in the Figure 7, both energy loss and exergy
277
destruction ratio declines with ash temperature decreasing. If the ratios decline under 0, the failure
278
of energy and exergy balance happen to the retorting unit. It is of great interest to note that the
279
energy loss ratio versus ash temperature shows a straight line, that is, the change of ash
280
temperature easily leads to failure of energy balance when the energy loss ratio close to 0. So, the
281
advisable Tash is above 820 oC. However, if the energy balance failed unfortunately, the further
282
needed energy could be complemented by burning more producing fuel gas. Therefore, the mass
283
of burned fuel gas is of great significance.
18
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Figure 7 energy and exergy loss ratios’ variation with retorting temperature 284
3.3 Effect of burned fuel gas
285
Circulating fuel gas is heated in the fuel gas heater, and the heat supply comes from the
286
combustion of fuel gas. In addition, how much the producing fuel gas is burned influences the
287
energy and exergy introduced to retorting furnace by circulating fuel gas. On the previous
288
discussions, not all the producing fuel gas is burned, and the major energy and exergy pyrolysis
289
reaction need are mainly from circulating ash, shown in the Figure 5. More burned fuel gas
290
indicates the circulating fuel gas could transports more energy to retorting furnace, and therefore
291
circulating ash could provide less energy and exergy. That is, either the temperature of circulating
292
ash or the flow rate of circulating ash can decline in some degree, which is good for both the
293
stable operation and increment of oil yield. Because the less circulating ash introduced to retorting
294
furnace is, the less fine ash that is hard to purify in oil is, and also the less intense the crack and
295
coking reactions of oil accelerated by the minerals in ash is. Besides, the excess fuel gas is also a
296
mixture that contains CO2 in 20~50% volume fraction. This indicates the it is less cost effective to
297
purify the fuel gas than burn the fuel gas directly, especially when the retorting temperature is
298
under 490 oC. For better economic performance, higher shale oil yield and more stable operation,
19
ACCEPTED MANUSCRIPT 299
it is advisable to have more producing fuel gas burned to provide the energy and exergy for
300
pyrolysis reaction. So, the condition that all the fuel gas was burned is investigated.
301
As we can see in the Figure 8, when all the produced fuel gas is burned, the energy
302
introduced to retorting unit from circulating fuel gas increase with retorting temperature rising,
303
and therefore the energy from circulating ash could be diminished. But it is of great importance to
304
note that both the energy and exergy from circulating ash plunge as the retorting temperature
305
increase from 490 to 520 oC, which is ascribed to that the LHV of fuel gas obtained from 520 oC is
306
much greater than that obtained from 490 oC. That is, the flow rate of circulating ash decreases
307
abruptly, which is difficult for regulator system to adjust and would bring about turbulence of heat
308
duty in CFB furnace. So, from this perspective, the retorting temperature range, 460~490 oC, is
309
suggested.
a) energy b) exergy Figure 8 energy and exergy from hot ciculating ash and fuel gas (burned all producing gas ) 310
3.4 Comparison of exergy efficiency with other system
311
Many operation conditions would escalate the exergy efficiency of the comprehensive
312
utilization system, but it’s uncertain that, compared with other retorting system, how many
313
advantages the comprehensive utilization system has. The efficiency of exergy is a reliable
20
ACCEPTED MANUSCRIPT 314
parameter to make a further comparison between the systems, even though different kinds of oil
315
shale are introduced to Fushun retorting system (FS) and Chinese comprehensive utilization
316
system (CCU). Proximate and ultimate analysis of the used oil shale in Fushun retorting system
317
are given in reference [6]. And the exergy efficiency of FS system is defined as follows:
318
𝜀=
𝐸𝑥𝑜𝑖𝑙 + 𝐸𝑥𝑟𝑔 ‒ 𝐸𝑥𝑒𝑙 𝐸𝑥𝑜𝑠
(19)
× 100%
319
where Exos, Exoil, Exrg are respectively exergy of oil shale, and shale oil, remaining fuel gas. They
320
are listed in Table 3 [5]. Besides, as discussed previously, Exel/Exos equals 22.5%. In Fushun
321
retorting system, the producing char that has potential exergy is discorded. So, the exergy within
322
the char is overlooked in the calculation. For CCU system, the exergy of products should contain
323
that of steam. What’s more, the exergy efficiency also could be determined as:
324
𝜀 = (1 ‒ (𝐸𝑥𝐷 + 𝐸𝑥𝑒𝑙)/𝐸𝑥𝑠ℎ𝑎𝑙𝑒) × 100%
325
where ExD/Exos is exergy destruction ratio. And the exergy destruction ratio of Fushun retorting
326
system is listed in Table 3.
(20)
Table 3 Exergy efficiency comparison between the systems FS
stream
exergy(mW)
Exergy destruction ratio
𝜀1
𝜀2
input
oil shale
773.61
0.422
0.222
0.353
output
shale oil
241.81
fuel gas
104.25
char
-0.248
0.517
0.523
CCU
327
input
oil shale
321.52
output
shale oil
201.64
fuel gas
10.77
steam
27.47
𝜀1 ,𝜀2 are respectively exergy efficiency calculated according to equation (19) and (20).
328
The references give only the exergy analysis of Fushun (FS) retorting system at retorting
329
temperature 525 oC, and so only the exergy efficiency at 525 oC is obtained. For the 21
ACCEPTED MANUSCRIPT 330
comprehensive system, the exergy efficiency at retorting temperature varying from 430 to 520 oC
331
are calculated. All the exergy efficiencies are shown in Figure 9.
332
It is obvious that CCU system always has much higher efficiency than FS system.
333
Furthermore, both the two efficiencies calculated according to equation (19) and (20) show
334
discrepancy because the exergy of flue gas, ash and waste water is overlooked while using the
335
equation (20). In addition, for FS system, the exergy efficiency according to equation (20) is
336
13.1% bigger than the exergy efficiency calculated by equation (19). Because the producing char
337
has exergy, but is discarded in FS system. However, for CCU system, the discrepancy between the
338
two calculated exergy efficiencies at RT=520oC is 0.6%, smaller than that of FS system. And
339
further calculation shows the exergy of flue gas, ash, and water is about 0.7% oil shale energy. So,
340
it is reasonable that for the comprehensive system, the exergy efficiency at other retorting
341
temperature are calculated as equation (20).
FGC: fuel gas is completely burned, and the ciculating ash is same as that when part of fuel gas is burned; FGC,m: fuel gas is completely burned, and the mass of ciculating ash is reduced.
Figure 9 exergy comparision 342
Generally speaking, Chinese comprehensive utilization system (CCU), compared with
343
Fushun retorting system (FS), has much higher exergy efficiency. But exergy efficiency of CCU
22
ACCEPTED MANUSCRIPT 344
system is also influenced by many operating factors, especially retorting temperature. With
345
retorting temperature increase, exergy efficiency first escalates but then slightly drops; as Figure 9
346
shows, the comprehensive system would reach highest exergy efficiency at temperature range
347
460~490 oC. Also, the exergy efficiency is influenced by the amount of combustion fuel gas. If all
348
the fuel gas is burned (FGC), the exergy efficiency is above the exergy efficiency of partially
349
combusted fuel gas as retorting temperature under 460 oC, but it’s opposite since retorting
350
temperature above 490 oC. Because, above 490 oC, the producing fuel gas has much higher LHV,
351
directly combustion would lead to huge exergy destruction. Even though further modification
352
(FGC,m) is carried out to decline the exergy destruction of retorting unit, the exergy efficiency of
353
whole system is still lower than that of part of fuel gas burned if TR is above 490 oC.
354
4. Conclusions
355
Both exergy analysis and energy analysis are applied to the comprehensive utilization system
356
of oil shale. According to energy and exergy balance of retorting unit, linear programing helps to
357
optimize the operating conditions, such as the amount of hot circulating ash and hot circulating
358
fuel gas, the temperature of hot circulating ash and so on. The detailed operation suggestions are
359
as follows:
360
1. Chinese comprehensive utilization system is beneficial than Fushun system from the aspect of
361
exergy efficiency. No matter what retorting temperature is, Chinese comprehensive utilization
362
system has higher exergy efficiency than the Fushun system. So, investigating how to operate the
363
comprehensive utilization system of oil shale stably and efficiently make significant sense.
364
2. For the aspect of efficiency, the highest exergy efficiency is in the temperature range 460-490
365
oC.
Besides, it is beneficial to have all the producing fuel gas combusted to heat the circulating 23
ACCEPTED MANUSCRIPT 366
fuel gas. But as retorting temperature over 490 oC, more shale oil decompose into the fuel gas and
367
the low heating value of fuel gas would increase steeply, so combustion of all producing gas
368
would result in turbulence of system. In general, the retorting temperature should be around
369
460~490 oC.
370
3. High temperature of circulating ash helps decline the mass of ash, and improve the oil yields.
371
Besides, temperature of hot circulating ash should not be under 820 oC; otherwise, the retorting
372
unit easily fails in energy and exergy balance even through all the fuel gas could be burned to
373
complement the excess required energy.
374
Acknowledgements
375
This work was sponsored by Shanghai Pujiang Program of China [Grant No. 15PJD018].
24
ACCEPTED MANUSCRIPT Nomenclature TR Tash Tfg mash mfg HI HII H Hos hos Hash hash Hfg hfg Hoil hoil Hloss hloss Exall Exh Exs Exs,ch Exs,h Exash exash Exfg exfg Exos exos Exoil exoil Exloss,h Exdes ηH ηEx ε1 ε2
Retorting temperature Temperature of circulating ash Temperature of circulating fuel gas Mass of circulating ash introduced to retorting furnace Mass of circulating fuel gas introduced to retorting furnace Reaction heat calculated according Hess law at room temperature Energy for heating products from room temperature to retorting temperature Total calculated energy for pyrolysis reaction Energy of oil shale Energy of per kilogram oil shale Energy from circulating ash to retort furnace Energy from per kilogram circulating ash to retort furnace Energy from circulating fuel gas to retort furnace Energy from per kilogram circulating fuel gas to retort furnace Energy of shale oil Energy of per kilogram shale oil Energy loss Energy loss (when just one kilogram oil shale is introduced to retorting unit) Calculated exergy for pyrolysis reaction Exergy for heating products from room temperature to retorting temperature Exergy of individual stream Chemical exergy of individual stream Physical exergy of individual stream Exergy from circulating ash to retort furnace Exergy from per kilogram circulating ash to retort furnace Exergy from circulating fuel gas to retort furnace Exergy from per kilogram circulating fuel gas to retort furnace Exergy of oil shale Exergy of per kilogram oil shale Exergy of shale oil Exergy of per kilogram shale oil Exergy loss accompanied with heat loss Exergy destruction Energy loss ratio Exergy destruction ratio Exergy efficiency calculated according to equation (19) Exergy efficiency calculated according to equation (20)
25
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ACCEPTED MANUSCRIPT Highlights Exergy analysis is applied to Chinese comprehensive utilization system. Linear programming helps optimize the retorting unit. The preferable retorting temperature range is 460~490 oC. All fuel gas produced at preferred temperature range is advised to be burn. The temperature of hot circulating ash should be no less than 820 oC.