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Basic design and performance evaluation on 5 kWe Solar ORC1
under subtropical climate conditions2
3
M. Alvesa,* E. Loraa, J. Palacioa, A. Martnezb4
5
aExcellence Group in Thermal and Distributed Generation, Department of6
Mechanical Engineering, Federal University of Itajub, Itajub, Brazil7
e-mail:[email protected]
bCentro de Estudios de Refrigeracin, Universidad de Oriente, Santiago de Cuba,10
Cuba11
Abstract12
The aim of this paper is to present the basic design and an early performance evaluation on a 5 kWe Solar ORC13systems operating under subtropical climate conditions (Cwa) for distributed generation. The system is based on14commercial available equipments, therefore, the model take into account the main physical and mechanical15
phenomena based on experimental data for the main key components. The evaluation is performed using an R-16245fa as working fluid operating at 130C, for the solar irradiation variance throughout a year. The early17
performance analysis shows high amplitude on energy availability, due to the climate conditions, design criteria,18traditional strategy control and no thermal storage. Nevertheless, the system indicates great adeptly, capable of a19minimal average usage factor of 23% with 6.5% system overall efficiency, available for 86% of the year.20
21
Keywords: Renewable Energy, Concentrated Solar Power, Distributed Generation, Organic Rankine Cycle,22
LABS.23
24
INTRODUCTION25
Nowadays, there is already a scientific consensus that climate change is a reality and26
its main causes are human activities [1, 2]. The use of renewable energy sources is one of the27
solutions that can mitigate this problem. Concentrated Solar Power (CSP) technology has28
been expanding significantly in recent years due manufacturing reduction cost; reflect of29
investments on technological development in over the past 25 years. Today, its cost between304.2 up to 8.4 U$/Winstalled; expecting a reduction on the constructions cost of new CSP plants,31
depending on the Direct Normal Irradiation (DNI) on the site, that can reach from 75% up to32
84% of cost reduction by the year 2050 [3]. As showed in the Figure 1, CSP growth is33
expected to continue at large steps; is expected to be delivered over 2.5 GWp to be in34
operation by the end of 2017 [4, 5].35
36
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37Figure 1. Growth of CSP technology [3,5].38
39
However, most of the currently installed CSP plants use a steam Rankine cycle in the40
power block, whichs requires a higher collector temperatures and power density in order to41
be competitive [16]. On the other hand, recent analyses suggest that small-scale systems, such42
as Organic Rankine Cycle (ORC) with parabolic trough collector (PTC) could compete on43
costs of electricity generation with photovoltaic technology and even with Diesel generators44
for isolated areas [6]. Therefore, this paper presents the early start implementation of a solar45
laboratory, LABS, at the Federal University of Itajub, with the goal to start out the46
development and analyze the behavior on distributed solar thermal energy generation in47
Brazil.48
49
The first part of this paper describes the basic design and characteristics of the Solar50
ORC system (CROS). In the second part, is introduced the simulation procedure, which is51
able to perform a performance evaluation during the irradiation change. The last part of the52
paper points out the results of the simulation, evaluating the performance of a CROS for53
subtropical conditions in different seasons.54
55
SYSTEM DESCRIPTION56
The CROS system components are based on commercial available equipments57
(composed according Figure 2), and its basic operational parameters are based on previously58
works [1, 6, 8, 10, 12, 14, 16]; therefore the system is fully developed to maximize its59
availability under subtropical conditions. Characterized by a sub-critical dry-expansion fluid,60
whereas the working fluid adopted is R-245fa, which is heated on the evaporator by hot water61from the solar collector field. The working fluid drives a turbine for power generation, then62
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condensed into liquid state in a water-cooled condenser and its pumped back to the63
evaporator.64
65
66
Figure 2. CROS System.67
68
Solar Collector69
The solar collector is a parabolic through collector (PTC) using a water-base mixture70
as heat transfer fluid (HTF), with an efficiency range of 50-65% for temperatures between 5071
up to 170 C, respecting a maximum pressure of 12 bar. There are 9 collectors, with a total72
net area of 130 m, with single-axis track, aligned east-west, tracking only the sun altitude73
changes. This is the most appropriate configuration, minimizing the reflectance effects of74
solar rays and maximizes absorption during the noonday ensuring the possibility of75
maximum power, at least a period of the day, during the whole year for this latitude [7].76
77
ORC module78
The ORC module has an axial reaction turbine, with an efficiency of 85%, generating79
a nominal net power capacity of 5 kWe, and a peak of 7.5 kWe. The work fluid temperature80
is limited at a maximum of 160 C and maximum pressure of 25 bar. The condenser (4.5 m)81
and the evaporator (5 m) use a counter-flow gasketed-plate heat exchanger, able to operate82
until 180 C @ 25 bar. The pump system has a nominal efficiency around 75%. Also the83
others pumps have the same nominal efficiency.84
85
Operational parameters86
This system is designed to operate during the whole year; therefore the considered87
irradiation level is 500 W/m operating at 130 C. The nominal operational parameters are88
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showed in Table 1. Temperature and operational pressure are showed in a T-s diagram of the89
CROS system (Figure 3).90
91
Table 1. CROS system nominal operational parameters.92
Description: Value Observations:
Pump
consumption
ORC module 310 W Flow rate = 0.167 kg/sSolar collector field 290 W Flow rate = 1.15 kg/sCooling system 170 W Flow rate = 0.910 kg/s
Generation Total gross 6.1 kW Generator efficiency = 95%
Heat
Total irradiation input 65 kWORC module input 41 kWORC module rejection 34.9 kW Max. regeneration capacity = 2.5 kW
Efficiency
Solar collector field 63%CROS system 7.7% ORC module = 12.2%Equivalent Carnot cycle 29.9%Max. cogeneration capacity 60.7% Using all heat rejection
93
94
Figure 3. CROS System T-s Diagram for the working fluid R-245fa.95
96
MODEL97
This section describes the model of the CROS system, which estimated the system98
behavior during an irradiation variation. The modeling approaches were developed under99
MATLAB environment using thermodynamic data from FluidProp, which works with NIST100
references tables [8]. For the simulation was assumed a transient behavior of the solar source101
and the air temperature, whereas beholds a rate flow control strategy. Therefore, kinetic and102
water @1.15 kg/s
water @0.91 kg/s
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potential energy are neglected. Still, were considered pressure drop only on the equipments,103
neglecting on piping.104
105
The calculation routine starts performing on the solar collector field and on the106
evaporator, using a -NTU methodology [9], which is based on the nominal operation107
parameters, estimated a new flow rate on the system according with the amount of solar heat108
input. The exchanger heat capacity (C) is considered constant, given by the equation 1,109
whereas take into account the fluid flow rate (Fm), fluid enthalpy (h) and temperature (T)110
variation.111
112
C =
h. Fm
T (1)113
This new flow rate value affects the efficiency of all other systems, which are114
recalculated throughout an equivalent equipment efficiency equation (based on experimental115
performance test), according for the new heat supply by the solar collector field. For that, the116
efficiency of the solar collector (sc) is affected by the variation of temperature (TmHTF117
mean temperature) and solar irradiance (I), which can be represented by the Figure 4, and118
given by the equation 2[10]:119
120
= B. (A. ) + C. (A. ) + 0,002. + 59,8
= 2. 10 + 1. 10. 1. 10.
B = 2,0458 + 2,8. 10. 1. 10. C =(2,5164 + 5,7. 10. 3. 10. )
(2)
121
122
Figure 4. Solar collector efficiency range versus mean temperature and solar irradiance variance.123
40
50
60
70
20 80 140 200
SolarCollectorEfficienc
y[%]
Heat Transfer Fluid Temperature [C]
300 W/m
1000 W/m
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124On the turbine (t) and pump (p) the efficiency equation take in account the flow rate125
which is transformed into a dimensionless flow rate value (m)calculated by the actual flow126
divided for the nominal flow rate design which 1stand for the nominal flow rate design.127
Both equations 3 and 4 are represented by the Figure 5 and 6 respectively [9]. Also the power128
consumption on the pumps and the power generation at the turbine are modified to match129
these new flow rates, through the equation 5.130
131
= 0.64 () 28.13 () + 52.22 () + 59.7 (3)
= 25 () + 0.83 () + 71.83 () + 27.03 (4)
W =h. Fm
(5)
132
Figure 5. Turbine efficiency versus dimensionlessflow rate.
Figure 6. Pump efficiency versus dimensionless flowrate.
133
134
ANALYSIS METHOD135
The transient behavior of the solar source creates great difficulty to guarantee its best136
performance and functionality in all weather conditions. The climate conditions corresponds137
to a humid subtropical of highlands (Cwa) [11], generally in the form of hot humid summers138
and mild to cool winter, which is the local of the future installation of CROS system on139
LABS at UNIFEI (ItajubMinas Gerais). All of the radiation data (GHI) are retrieved from140
the weather stations on the campus, collect and store all data every 10 minutes. Therefore the141
analysis is based on a quasi-static simulation, following a traditional strategy control,142respecting the following control boundaries [12-14]:143
60
65
70
75
80
85
90
0.0 0.5 1.0 1.5
TurbineEfficiency[%]
Dimensionless flow rate [-]
20
30
40
50
60
70
80
0 0.5 1 1.5
PumpEfficiency[%]
Dimensionless flow rate [-]
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144
Overheating protection (solar collector170 C and ORC module160 C);145
Overcharge protection (turbine/generator7.5 kWe);146
Minimum heat (avoid part-load under 60% of nominal power capacity);147
Minimum starting radiation of 300 W/m (for solar collector primary pump);148
Fixed inlet turbine pressure (23 bar);149
150
Therefore the analysis method consists in two parts: the firsts one, present all the151
possible retrieved data from the model. To be able to better comprehension is used a152
hypothetical day, which consist of an annual mean solar radiation value. Although the second153
part is exactly the same procedure, the difference is the use of the annual solar radiation data,154
which allows to returns fully and daily operational values with a 10 minutes resolution,155
furthermore for enhance comprehension of some of the data is synthetized as a daily average156
value.157
158
Solar radiation chart159Generally solar systems use direct normal irradiation (DNI) as solar data, although the160
use of global horizontal irradiation (GHI) presents only 5% of error if compared with DNI for161
this type of usage and according to the site location [15]. Therefore this change of solar data162
is compensated by the reduce size of the solar system, which implies in losses due to albedo163
on the edges of the solar collector field.164
165
For that, there are two types of solar radiation input chart; the first one is an annual166
mean solar radiation present in the Figure 7, also the annual mean air temperature is included;167
which is considered as environment boundaries. Showed in Figure 8, the second type is a168
three dimensional chart of solar radiation of Itajub, through the graph it is possible to obtain169
information such as: the duration of the solar day (suitable for energy generation),170
environments effects, the amplitude of the radiation, etc., the axes are the respective:171
172
Day [x-axis]364 days, (separated monthly);173
Time [y-axis]From the 6:00 till 19:00;174
Radiation [z-axis]Range from 300 W/m (blue) until 1250 W/m (red).175
176
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177Figure 7. Annual average of solar radiation and air temperature.178
179
180
Figure 8. Radiation variability at Itajub above 300 W/m.181
182
RESULTS AND DISCUSSIONS183
184
Hypothetical day behavior185
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The first test considers a hypothetical 24h day period using solar data from the186
annual average radiation of Itajub (Figure 7). The output, allows the visualization of the187
complete CROS system behavior variation during 24h operation. The Figure 9, show the188
CROS system efficiency and equivalent Carnot cycle efficiency and the net power generated189
by the system. On the Figure 10 is showed the thermal behavior of the system, including solar190
collector, turbine and condenser temperature profile.191
192
193
Figure 9. CROS efficiency and equivalent Carnot cycle efficiency and net power generated.194
195
196
Figure 10. Thermal behavior.197
198
The CROS system first starts the solar collector field primary pump, around 8:30,199
which initiates the heating process of the HTF. Within 20 minutes the system reaches200minimal heat level and starts producing energy with 78% of its nominal capacity. In further201
Nominal Parameters
CROS efficiency 7.7%
Carnot efficiency 29.9%
Net Power 5 kWe
Nominal Parameters
Collector outlet 135 C
Collector inlet 126 C
Turbine inlet 130 C
Turbine outlet 65 C
Condenser outlet 40 C
Condenser inlet 30 C
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20 minutes the system reaches out its nominal producing energy capacity, using only 450202
W/m. Around 9:50, all the efficiency nominal values are reached. Although the solar source203
continues to increase the available power, the system starts to lower down its efficiency. At204
11:00, the protection system starts to operate, and the solar energy supply is cut off, until the205
system comes back to standard patter, this intervention continues for over 3 hours, when the206
irradiation level starts to decrease to sustainable levels. After over 7 hours of availability, the207
system reaches 60% of its nominal capacity and its shutdown.208
209
Annual behavior210
This time using the whole year irradiation data (Figure 8), is possible to create a three211
dimensional chart with the efficiency behavior among a year, Figure 11, with the respective212
axes:213214
Day [x-axis]364 days, (separated monthly);215
Time [y-axis]From the 6:00 till 19:00;216
Efficiency [z-axis]Range from 2% (blue) to 18% (red).217
218
219
Figure 11. Behavior of CROS efficiency during a year of operation.220
221
The Figure 11 indicates that the CROS system could have an instantaneously222
efficiency on the range of 2% to 18%. Also possible to recognize that the system has a greater223
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efficiency and stability during the winter season (Jun. - Aug.); due to its operation close to the224
design point and the low clouds incidence in this period, nevertheless, the available Sun light225
is lower. During the summer (Dec. - Feb.), the incidence of clouds is higher, especially226
cumulus formation in the afternoon, occurring from summer rain to torrential thunderstorm,227
which reduces the system stability and availability during the day. And also due to the228
irradiation amplitude the efficiency decreases. Through the Figures 8 and 11 highlight the229
system latency, even after the passage of a cloud the system keeps its operation up to 20230
minutes before shutting down.231
232
Annual behaviordaily average233
The average information is more valuable for economic analysis. In Figure 12 are234
exposed three different data; the CROS system efficiency, equivalent Carnot cycle efficiency235
and the net power generated, the data represents a daily average during the year236
237
238
Figure12. Characteristic behaviordaily average.239
240
In Figure 12 is possible to visualize the daily average efficiency behaves in the same241
way of showed in Figure 11, reaching globally lower efficiencies during the summer (Dec. -242
Feb.) and higher efficiencies during the winter (Jun. - Aug.), which are respectively in the243
range of 5% to 10%. Even so, due to the traditional control strategy, the energy generation is244
22% higher than the design point.245
246
The system control intervenes on the system flow and it is also able to shut down the247
solar collector field. For this reason is calculated the Overall Equipment Efficiency (OEE). A248
dimensionless value calculated by the difference between the actual time of use of the system249
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(when collect solar energy) by the total time of energy production. When the system switches250
off automatically to self-protection mode, the elapsed time is counted, during this period the251
capture of solar energy is cut off, but continues to produce energy until the reason of the252
overload disappears and system could came back on running.253
254
This operation could be optimized by the use of thermal storage, which the additional255
energy would be directed to the accumulators, allowing the system operate at design point,256
even without the Sun. The presence of accumulator could be a step to make a hybrid system,257
since the thermal storage could be feed by another external source, such as biomass, natural258
gas, etc.259
260
As showed, the time is an important factor for this type of system; in Figure 13 are261
exposed the startup time, operation time, cut off time (when self-protection control is262
activated) and overall equipment efficiency (OEE).263
264
265
Figure13. Time behaviordaily average.266
267
At Figure 13, as presents the startup time has a low variation, keeping less than 25268
minutes. Although the operation time has a high variation due to weather conditions, which is269
possible to remark a sinusoidal behavior. The fact occurs due the seasons, which modifies the270
duration of the day during the yeardays shorter in winter and longer in summer.271
272
The cut off time has the same behavior as the predecessor, reaching highest value273
during the summer period, due to the irradiation amplitude compared with the nominal274radiation project. On the other hand, with inverse behavior; higher is the cut off time, lower is275
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the OEE, whereas reaches a minimum value of 60%. With the data on Figure 12 and 13 is276
possible to synthetize the average data by season on Table 2. Featuring minimum (Min.),277
average (Ave.) and maximum (Max.) values.278
279
Table 2. CROS average operational data by season.280
SeasonSummer
(Dec. - Feb.)Autumn
(Mar. - May.)Winter
(Jun. - Aug.)Spring
(Sep. - Nov.)Annual
Efficiency [%]
Min. 5.67 5.95 7.07 5.69 5.67Ave. 6.57 7.46 8.01 6.88 7.17Max. 9.92 9.65 9.53 10.19 10.19
Net power [kW]Ave. 5.95 5.93 5.93 5.96 5.94Max. 6.09 6.08 6.03 6.08 6.09
Operational time [hours/day]Ave. 7.39 6.62 6.46 7.68 7.00Max. 9.54 8.27 7.50 9.53 9.53
Cut off time [hours/day] Ave. 1.99 1.12 0.56 1.92 1.52Max. 3.21 2.57 1.59 3.34 3.34
Usage factor [%]Ave. 27.01 25.65 23.23 25.78 25.71Max.
1 72.36 82.38 90.86 75.03 78.71
Days available [%] Ave. 89.74 98.72 91.03 85.90 91.35Daily power production
[MW/day]Ave. 158.32 141.22 137.93 164.70 150.54
281
The system efficiency is incontestably higher during the winter, + 11% from the282
annual average. However during the summer, the average efficiency is - 9.7%. On the other283
hand the net power production is stable during the whole year, slightly higher during the284
spring season, + 0.3% above average. The operational time is higher during the spring285
season, + 9.7% above average, which is occasionally due to the climate conditions clouds286
and solar duration day. On the other hand during the winter the operational time is - 7.7%287
lower than average.288
289
The lowest cut off time happens only during the winter season, - 63.2% under average290
due to the design criteria. A better control strategy could mitigate this problem, and also291enhance the system behavior in all weather conditions. Usage factor show interesting values,292
which apparently show higher capacity of the system during the summer, + 16.3% higher293
than the winter season. Nevertheless, the maximum usage factor shows that during the winter294
the usability of the machine is + 25.6% higher than the summer season. This means during295
the winter, almost all of the available sun light is useful, on the other hand during the296
summer, only 72.4% could be retrieved to power generation.297
298
1Maximum usage factortake in account only the available day light.
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The available days only represents the days which the irradiation were under 300299
W/m and/or the system wasnt able to start. Although the best way to evaluate this system is300
to predict the total daily electric power production, which reveals to be on the spring season,301
+ 9.4% higher than the average, and + 19.4% higher than the winter season. That fact302
indicates the possibility of an optimization focused on spring season would be more303
profitable. The enhancement of the system performance for the winter season is limited by304
the available sun light, therefore the others seasons arent; which in this case a 2 hours (10 m305
hot-water tank) thermal storage system could be capable to increase the system performance306
and operational time in + 20.5%, stabilizing the system generation, and also avoiding part-307
load operation.308
309
CONCLUSION310
In this work we present the main characteristics of the basic design of a 5 kWe solar311
ORC plant using a parabolic cylinder technology, based on commercial and available312
equipments, fully developed to maximize its availability under subtropical climate313
conditions. This system will allow other studies like: development of solar thermal energy,314
renewable energy on smart grids, regulation with thermal/mechanical storage, etc. for315
distributed energy generation.316
317
The early studies on the CROS system performance evaluation indicate high variation318
of energy availability among the year. This fact was expected; because it dependency of319
energy source, the Sun light. Nevertheless, the Federal University of Itajub dependencies are320
situated in a valley and also the weather conditions during the seasons arent the most321
adequate for solar thermal energy. Among that fact, the CROS system using a traditional322
control strategy, without a storage system, could reach a minimal average usage factor of323
23.2% during the winter, with a minimal average efficiency of 6.5% (-15.6% from the design324
point) during the summer, and also been available at mostly 86% of the days during a year.325
326
CROS system implementation will allow enhancing simulation tools, creating thermal327
storage system for adverse climate conditions, developing advanced control strategy for solar328
thermal system, etc. This will contribute to advance the knowledge, allowing distributed solar329
thermal generation in any place at Brazil.330
331
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ACKNOWLEDGEMENTS332
The authors want to thank to CAPES, CNPq, FAPEMIG, ANEEL, CEMIG and CPFL333
for their collaboration and financial support in the development of this work.334
335
References336
[1] ALVES, M. S.; LORA, E.; PALACIO, J., (2012). Sizing and parametric study of a33710kWel Solar Organic Rankine Cycle for Brazilian conditions. VII National Congress338of Mechanical Engineering339
[2] RODRGUEZ, C. E. C. ; Palacios ; Venturini ; LORA, Electo Eduardo Silva ; COBAS,340Vladimir Melin ; SANTOS, D. M. ; DOTTO, F. R. L. ; GIALLUCA, V. . Exergetic341and economic comparison of ORC and Kalina cycle for low temperature enhanced342geothermal system in Brazil.Applied Thermal Engineering, v. 52, p. 109-119, 2013.343
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[10] ALVES, M. S. (2013), Computational Modeling and Optimization of a Solar Organic362Rankine Cycle with Parabolic Trough Collector, Itajub - MG, 195 p. Dissertation363(Master sciences in Energy Conversion)Institute of Mechanical Engineering, Federal364University of Itajub.365
[11] MCKNIGHT, TOM L; HESS, DARREL (2000). "Climate Zones and Types". Physical366Geography: A Landscape Appreciation. Upper Saddle River, NJ: Prentice367Hall.ISBN0-13-020263-0.368
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[15] VIANA, T. S., (2010). Potencial de Gerao de Energia Eltrica com Sistemas377Fotovoltaicos com Concentrador no Brasil. 127p. Tese (Doutorado)Departamento de378Engenharia Civil, Universidade Federal de Santa Catarina, Florianpolis, SC, Brasil.379
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