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INTERNATIONAL JOURNAL OF ENERGY RESEARCH
Int. J. Energy Res. 2012; 36: –
Published online 28 February 2011 in Wiley Online Library (wileyonlinelibrary.com). DOI: 10.1002/er.1830
749 763
Optimization of autonomous hybrid systems with
hydrogen storage: Life cycle assessment
Geovanni Hern ´ ndez Galvez 1 , Oliver Probst 2 , O. Lastres 3 , Airel N ´ ˜ ez Rodr´guez 3 ,
Alina Juantorena Ug ´ s 4 , Edgar Andrade Dur ´ n 1 and P. J. Sebastian 1, ,y
1 Centro de Investigaci ´ n en Energ ´ a-UNAM, Temixco, Morelos 62580, M ´ xico
2 Instituto Tecnol ´ gico del Estudios Superiores de Monterre, Ave. Eugenio Garza Sada 2501 Sur, Col. Tecnol ´ gico 64849, Monterrey,
Nuevo Le ´ n, M ´ xico
3 Instituto de Estudios de la Energ´a, Universidad del Istmo, Oaxaca, M ´ xico
4 Universidad Polit ´ cnica del Estado de Morelos, Jiutepec, Morelos, M ´ xico
SUMMARY
The design of autonomous systems for the rural electrification is a complex task due to the diversity of variables
involved in such processes. The absence of programs and methods that carry out this task in a clear and precise
manner constitutes a barrier to the dissemination of these systems, although some tools have been developed that
present other possible limitations. The exclusion of the environmental dimension in the design and evaluation
process of hybrid systems means that the true benefits are not evaluated in terms of quality and quantity. In an
attempt to overcome such deficiencies, this work presents a new method of design; approached from the multi-
objective optimization of systems. The multi-objective optimization by means of enumerative search implemented
by the Hybrid Optimization Model for Electric Renewable program is used to generate a set of solutions optimized
economically by the value of the net present cost (NPC). The analysis of greenhouse gas emissions (in tCO 2 -eq.) in
the life cycle of each one of the system components is carried out and a set of solutions with the values of the two
objective functions is generated, namely NPC and NAE SLC (net avoided emissions in the system life cycle). The
method is applied to a case study in a Cuban rural community. The compromise solution obtained by means of the
proposed algorithm includes a wind turbine (WT) of 25.4 and 8 kW of photovoltaic panels, while that of the HOGA
includes a WT of 76 and 21 kW of photovoltaic panels. Both commitment solutions consider hydrogen storage
instead of storage in batteries, as a better option for the energy storage. Copyright r 2011 John Wiley & Sons, Ltd.
KEY WORDS
stand-alone wind energy system; multi-objective optimization; life cycle analysis; fuel cells; electrolyzers
Correspondence
*P. J. Sebastian, Centro de Investigaci ´ n en Energ´a-UNAM, Temixco, Morelos 62580, M ´ xico.
y E-mail: sjp@cie.unam.mx
Received 7 October 2010; Revised 28 December 2010; Accepted 30 December 2010
1. INTRODUCTION
technologies with low carbon emission levels, accom-
panied by massive investment in next generation
technologies, without which growth cannot be
achieved with low carbon emissions.
In its 2009 publication of World Energy Outlook
(WEO), the International Energy Agency (IEA)
addresses issues of special relevance to the world
energy situation and forecasts for this area until 2030.
According to the report, expanding access to modern
energy for the world’s poor remains a priority. An
estimated 1.5 billion people (more than a fifth of the
world population) still lack access to electricity.
Approximately 85% of these people live in rural areas,
mainly in sub-Saharan Africa and South Asia. It
is estimated that by 2030 the total number will be
Poverty reduction and sustainable development remain
a top priority at international level. Climate change
threatens the entire world, but developing countries are
the most vulnerable. They are estimated to bear
approximately 75–80% of the cost of damage caused
by climate change. Even warming of 21C above pre-
industrial temperatures could result in a permanent
reduction in gross domestic product between 4 and 5%
in Africa and South Asia. For the temperature not to
deviate from the 21C above pre-industrial levels
(probably the best outcome that can be achieved), a
true revolution is needed in the energy sector. This
entails the rapid dissemination of energy efficient
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G. H. Galvez et al.
Optimization of autonomous hybrid systems
decreased by only 200 million, but it will
increase
Mathematical models are developed for each compo-
nent of the system and compared with experimental
results. It was concluded that there are no
insurmountable technical difficulties associated with
hydrogen production by hybrid systems. Field
observations showed that hybrid systems are feasible
and reliable enough, and require less maintenance. In
addition, electrochemical effects caused by the inter-
mittent nature of wind and solar resources can be
decreased through the use of batteries as short-term
storage systems.
Several works have been published that investigate
the technical and economic feasibility of hydrogen sto-
rage in autonomous systems [3–8]. Khan and Iqbal [9]
performed the modeling, simulation and analysis of an
isolated wind system with hydrogen storage. MATLAB-
Simulink is used for system dynamics modeling. The
simulation results showed the proper functioning of
each system component and their mutual interactions.
Abdullah et al. [10] conducted a comparative study
between different power schemes for electrification of a
rural information and telecommunications center
located in a remote area of Sarawak, East Malaysia. This
case study demonstrates that combined photovoltaic and
hydrogen systems are more reliable, although currently
more expensive than stand-alone PV systems.
Dufo and Bernal [11] made a multi-objective triple
design of an isolated hybrid system, simultaneously
minimizing the total cost over the lifetime of the sys-
tem, pollutant emissions and the unmet load. They
used a multi-objective evolutionary algorithm and a
generic algorithm to find the best combination of hy-
brid system components and control strategies. Of the
research papers that have been published on the sub-
ject, this is one of the most innovative, given the ad-
vantages of multi-objective optimization compared
with the mono-objective method.
Kashefi et al. [12] designed a hybrid wind/photo-
voltaic/fuel cell system, under the criterion of mini-
mizing the annual cost over 20 years of operation. The
problem of optimization is subject to a reliable ful-
filling of demand, including the analysis of the flaws of
WTs, of photovoltaic arrangements and of the DC/AC
converter. Particle Swarm Optimization, an optimiza-
tion algorithm based on particle clouds, is used in this
study. The results demonstrate the influence of com-
ponent failures on reliability and cost of the system.
The optimization of particle clouds is also used by
Hakimi and Moghaddas-Tafreshi [13] in the design of
an autonomous system for a residential area of
southeastern Iran. The system consists of fuel cells,
WTs, electrolyzers, a reformer, an anaerobic reactor,
and some tanks of hydrogen. Biomass is used as an
available energy source. In the system, the hydrogen
produced in the reformer is delivered directly to a fuel
cell. When the energy produced by the WT and the fuel
cell (fed by the reformer) is higher than the demand,
the excess is delivered to the electrolyzer. Otherwise, it
in Africa.
The energy sector will continue to be subjected to
profound changes and will face new challenges in the
coming years. The need for energy supply in isolated
areas with difficult access to utility distribution net-
works, or areas where these are not economically
viable, will remain a challenge for many years to come
for various governments in order to ensure the devel-
opment of rural areas.
There have been many alternatives that are used in
different countries to provide electricity for isolated
consumers. Traditionally, diesel generators were used
with a corresponding environmental cost. Then, with
the development of renewable technologies, such as
hydroelectric systems, photovoltaics and small wind
turbines (WTs), there appeared an alternative for elec-
trification. Depending on available energy resources,
these technologies have been used as independent sys-
tems (only one source of energy) or as hybrid systems
(which involve more than one source of energy),
ensuring the autonomy of the electricity supply.
One of the intrinsic characteristics of these renewable
energy resources, which substantially differentiate them
from fossil fuels, is their variability. The intermittent
nature of these resources means that the exploitation by
autonomous systems requires the existence of modes of
energy storage. Traditional battery banks that have
been widely used have demonstrated technical and
environmental constraints. Battery storage requires a
high cost. In addition, the batteries are very sensitive to
unexpected operating conditions. Another downfall is
that most users cannot replace them due to a lack of
financial resources, which means total loss of a func-
tioning system. Furthermore, the use of heavy metals
and more aggressive electrolytes in batteries can be
disadvantageous from the ecological point of view if
there is no careful recycling process in place.
An alternative to storing energy in batteries is the
integration of electricity generation technologies (wind
in our case) with hydrogen technologies (electrolyzers,
storage tanks and fuel cells). In the research that has
been done, the storage of energy in hydrogen in
autonomous wind systems has been approached from
several perspectives. The use of various simulation and
optimization tools (Hybrid Optimization Model for
Electric Renewable (HOMER), HYBRID2, TRNSYS,
HYDROGEMS, INSEL, ARES, RAPSIM, SOMES,
SOLSIM, CARE and HOGA) predominates in most
studies [1].
Sensitivity analyses carried out by several authors
[2,3] have shown that lowering the costs of hydrogen
storage systems to expected values in the medium and
long term will make them competitive with battery
storage systems, even without taking into account
externalities.
Sopian et al. [3] described the behavior of an in-
tegrated wind/photovoltaic/hydrogen/battery system.
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Int. J. Energy Res. 2012; 36 :749–763
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2011 John Wiley & Sons, Ltd.
DOI: 10.1002/er
Optimization of autonomous hybrid systems
G. H. Galvez et al.
uses an additional fuel cell that is fed by the stored
hydrogen. The optimized objective function is the net
present cost (NPC) of the system.
On the other hand, the literature review analysis did
not show the use of multi-criteria decision analysis to
optimize integrated wind energy systems with hydro-
gen storage, although such tools have been widely used
in various branches of engineering. Some of the main
developments in this regard are as follows:
Ramanathan and Ganesh [14] present a multi-ob-
jective programming model for the optimal allocation
of energy resources to various energy end uses. The
normative model was applied for the households sector
of Madras city. The model is solved using non pre-
emptive goal programming. A multi-objective pro-
gramming model with eight objectives is discussed. The
energy allocation process is viewed within a system
framework encompassing the economy and the en-
vironment. Objectives that are consistent with the
broad aims of economic costs, energy conservation,
balance of payments, employment generation and en-
vironmental friendliness were considered.
In Shi et al. [15], the optimal design of the hybrid
energy system has been formulated as a multi-objective
optimization problem. The techno-economical perfor-
mance of the hybrid energy system was optimized; the
trade-offs between the multi-objectives were analyzed
using multi-objective genetic algorithms. The proposed
method is tested on the widely researched hybrid PV
wind power system design problem. The optimization
seeks the compromise system configurations with re-
ference to three incommensurable techno-economical
criteria, and uses an hourly timestep simulation pro-
cedure to determine the design criteria with the
weather resources and the load demand for one re-
ference year. The well-known efficient multi-objective
generic algorithm, called NGAS-II is applied.
Chedid et al. [16] provide a methodology for the
optimization of an existing electrical distribution net-
work when upgraded by renewable energies. The pro-
posed problem was formulated using multi-objective
linear programming in conjunction with fuzzy logic. It
will be shown that optimization using fuzzy logic can
provide decision makers with more flexibility which
would assist them in the allocation of various energy
resources to optimally meet the various end uses and
solve the problem of renewable energy connection to
existing distribution networks.
In Barzegar Avval et al. [17], the gas turbine power
plant with pre-heater is modeled and the simulation re-
sults are compared with one of the gas turbine power
plants in Iran. In the optimization approach, the ex-
ergetic economic and environmental aspects have been
considered. In multi-objective optimization, the three
objective functions, including the gas turbine exergy
efficiency, total cost rate of the system production
including cost rate of environmental impact and CO 2
emission, have been considered. The thermoenvironomic
objective function is minimized while power plant exergy
efficiency is maximized using a generic algorithm.
Baghernejad and Yaghoubi [18] developed a multi-
objective optimization scheme which was applied to an
Integrated Solar Combined Cycle System that pro-
duces electricity to find solutions that simultaneously
satisfy exergetic as well as economic objectives. This
corresponds to a search for the set of Pareto optimal
solutions with respect to the two competing objectives.
The optimization process is carried out by a particular
class of search algorithms known as multi-objective
evolutionary algorithms.
Sayyaadi and Amlashi [19] performed the thermo-
dynamic and thermoeconomic optimization of a hor-
izontal geothermal air conditioning system. The
objective functions based on the thermodynamic and
thermoeconomic analysis are developed. An artificial
intelligence technique known as evolutionary algorithm
has been utilized for optimization. This approach has
been applied to minimize either the total levelized cost
of the system product or the exergy destruction of the
system. Three levels of optimization including thermo-
dynamic single objective optimization, thermoeconomic
single objective optimization and multi-objective opti-
mization (with simultaneous optimization of thermo-
dynamic and thermoeconomic objectives) are
performed. In multi-objective optimization, both ther-
modynamics and thermoeconomic objectives are con-
sidered, simultaneously. In the case of multi-objective
optimization, an example of decision-making process
for selection of the final solution from available optimal
points on Pareto front is presented.
Despite research on the subject, some limitations
remain to be overcome:
Only Weibull’s probability density function is
used to adjust the distribution of frequencies of
observed wind speeds, which does not always
represent the best fit. This brings out errors in the
estimation of diverse parameters such as available
wind power, the energy produced by WTs and
others. This fact is accentuated when the observed
wind histogram is bimodal.
An adequate analysis of adjustment by the WT to
wind resource available, in order to choose
between different models to achieve the best
energy performance expected in the specific site,
is lacking. This would allow a better approach to
overall system optimization.
Ideally, calculations of greenhouse gas (GHG)
emissions should be estimated for the system’s
operating period and not for the life cycle of each
of its components. This would give a more
accurate environmental dimension.
With this in mind, this research presents the multi-
objective optimization of autonomous systems with
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Int. J. Energy Res. 2012; 36 :749–763
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2011 John Wiley & Sons, Ltd.
DOI: 10.1002/er
G. H. Galvez et al.
Optimization of autonomous hybrid systems
2. MATERIALS AND METHODS
hydrogen storage. This was done using the enumera-
tive optimization carried out by HOMER in order to
carry out the optimization of net avoided emissions in
the life cycle derived from the calculation of the
equivalent GHG emissions for each of the components
of the system. Compromise programming is used to
select the best alternative (closer to the ideal) based on
multiple criteria.
The research was conducted by means of a case
study involving the electrification of a rural community
of 40 homes with approximately 200 inhabitants,
namely the Cuban coastal town of Playa Caletones
located in the Gibara Municipality of Holguı´ n
Province (Figure 1).
Figure 1. Location of the Playa Caletones rural community on the island of Cuba.
Figure 2. Average daily consumption and wind speed profiles for Playa Caletones rural community.
Figure 3. Average daily wind speed profiles for Playa Caletones rural community.
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Int. J. Energy Res. 2012; 36 :749–763
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2011 John Wiley & Sons, Ltd.
DOI: 10.1002/er
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Optimization of autonomous hybrid systems
G. H. Galvez et al.
The economic optimization of the system was done
using the free software HOMER. This optimizes the
system according to the NPC by means of an enu-
merative search. For the study, data on wind speed
recorded over two years on the study site as well as
consumption profiles estimated for the type of rural
community in question were used. These were based on
studies conducted in similar communities (Figures 2
and 3). The average daily load is 120 kWh, with a peak
power of 16 kW.
At 10m above ground level the average wind speed
is 4.16m s 1 , increasing to 4.51 and 5.17m s 1
speed design that the WT must (start-up wind speed
V s , rated wind speed V r and cut-out wind speed V o )
better match the site was based on the Weibull para-
meters estimated by Windographer through the
method of maximum likelihood (k51.09 and
c 55.24m s 1 ). Given the value of k, we use the fol-
lowing equation to determine the optimal value of V r ,
as shown in Figure 4, which is derived from the results
published by Geovanni et al. [20]:
V r ¼ð k13:1 Þ c;
k p 1:8
ð 1 Þ
The following equations were used to determine the
values of V s and V o [21]:
V s ¼ 0:275 V n
for 20
and 50m, respectively (as logarithmic profile).
Prior to the economic optimization of the system,
optimization on the WT was carried out according to
the best coupling between the power curve and the
theoretical distribution of frequencies of wind speeds
at the study site. The calculation of the optimum wind
ð 2 Þ
V o ¼ 1:850 V n ð 3 Þ
The configuration of the system under study is shown
in Figure 5.
The system includes a WT, a fuel cell, hydrogen
tank, an electrolyzer, batteries and a converter. The
system, including photovoltaic modules and a diesel
generator, was also analyzed. Capital costs used in the
simulation of the system are shown in Table I [2].
The calculation of emissions in the life cycle was
performed in equivalent tons of carbon dioxide, using
the emission rates reported in system components [22].
Table II reports the values used, based on the energy
produced during the lifetime of each of the components.
For each of the combinations of components gen-
erated by HOMER, equivalent emissions in the life
cycle were calculated, then the net avoided emissions,
NAE SLC (Equation (4), where the subscript means
Figure 4. Optimal rated wind speed (normalized with respect
to the c scale factor of Weibull) for different intervals of variation
for the shape factor k.
Table I. Capital costs for components.
Components
Capital cost
1500 $ kW 1
WT
3000 $ kW 1
Fuel cell
2000 $ kW 1
Electrolyzers
1300 $ kg 1
Hydrogen tank
1.3$ Ah 1
Batteries
1000 $ kW 1
Converter
800 $ kW 1
Diesel generator
6900 $ kW 1
Photovoltaic modules
Table II. CO 2 equivalent emissions in the life cycle system
components.
GHG (kg CO 2 -eq. kWh 1 )
Components
WT
0.011
Photovoltaic module (mono-Si)
0.045
Diesel generator
0.88
Fuel cell (H 2 by electrolysis)
0.02
Electrolyzer and hydrogen tank
0.011
Pb-acid Battery
0.028
Figure 5. The sketch of the autonomous system that involves
all the components.
Converter
0
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Int. J. Energy Res. 2012; 36 :749–763
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2011 John Wiley & Sons, Ltd.
DOI: 10.1002/er
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