simulation of parabolic trough power plants with molten salt as heat transfer fluid
TRANSCRIPT
SIMULATION OF PARABOLIC TROUGH POWER PLANTS WITH MOLTEN SALT AS HEAT TRANSFER FLUID
Florian Böss1, Thomas P. Fluri
2, Raymond Branke
3, and Werner J. Platzer
4
1 MSc, formerly with Division Solar Thermal and Optics, Fraunhofer ISE
2 Dr., Senior Research Engineer, Division Solar Thermal and Optics, Fraunhofer ISE,
Heidenhofstr. 2, 79110 Freiburg, Germany, phone: +49 (0) 761 4588 5994, e-mail: [email protected]
3 Dipl.-Ing., Research Engineer, Division Solar Thermal and Optics, Fraunhofer ISE
4 Dr., Director Division Solar Thermal and Optics, Fraunhofer ISE
Abstract
Recently several new heat transfer fluids (HTF) have been proposed and analyzed with the aim of reducing
the levelized costs of electricity (LCOE) of parabolic trough power plants [1] [2]. An existing simulation
model at Fraunhofer ISE has been adapted to the use Solar Salt and HITEC® as HTF in parabolic trough
power plants. This model uses steady-state and semi-transitional methods to calculate the annual electrical
energy yield of solar power plants at different locations including thermal energy storage. Finally rough cost-
estimations in order to compare the LCOEs of the novel media and the conventionally applied thermal oil –
Therminol VP-1® [3] are drawn. It turns out, that the freeze protection has significant impact on the net
energy production of systems with molten salt. For a reference plant with a configuration similar to the
Andasol 3 power plant, but located in Daggett/USA the net energy yield of Solar Salt varies between +5.6 %
and −4.3 % compared to thermal oil, depending on the implemented freeze-protection strategy. Systems
using Solar Salt as HTF are allowed to have up to 14.4 % higher investment costs to achieve the same LCOE
as the conventional systems with thermal oil Therminol VP-1, but simulation results indicate that for an
economic use of molten salt as HTF alternative freeze protection strategies should be investigated. Another
key factor is the geographic location of the site, as sites with better solar resource seem more suited for use of
molten salt as heat transfer fluid.
Keywords: Molten Salt, Parabolic Trough Power Plant, Yield Analysis, System Comparison
1. Introduction
Recently the use of molten salts, which consist of eutectic mixtures of nitrate und nitrite-salts as heat transfer
fluid in parabolic trough receivers, has been discussed and initial testing with these fluids have proven their
feasibility.
Besides a high temperature stability of up to 600 °C, higher densities and higher heat conductivities the
nontoxic and nonflammable liquid salts are also broadly available at lower prices than thermal oil [4] [5].
This is why molten salts are already used in central receiver systems and as sensible heat storage media in
parabolic trough power plants where they have proven their effectiveness [6]. The main advantage of molten
salts is the higher achievable operation operating temperature of the heat transfer fluid in the solar field
(Table 1), since, with these higher temperatures, the conversion from thermal to electrical power in the
connected steam cycle can reach higher efficiencies.
Therminol-VP1 Solar Salt HITEC
HTF Operating Temperatures 20°C – 390°C 290°C – 550°C 200°C – 450°C
Table 1: HTF Operating Temperatures in Parabolic Trough Power Plants (data from [3], [7], [8])
Furthermore, the combination of higher densities and higher heat conductivities of molten salts lead to higher
heat capacities per transported volume unit of heat transfer fluid (as shown in Table 2), so storage costs can
be reduced due to smaller tanks and heat exchangers [9]. The main drawbacks of these fluids are the required
fail-safe freeze protection caused by the high melting point of the molten salts and the higher heat losses –
mainly through radiation– in the solar field caused by higher operating temperatures. Whether these
drawbacks compensate the given advantages and whether there are optimization parameters that can increase
energy yields for molten salts will be discussed in this paper.
Solar Salt /
Therminol VP-1
HITEC /
Therminol VP-1
Heat Capacity 0.62 0.67
Density 2.36 2.40
Heat Capacity per Volume 1.47 1.61
Kinematic Viscosity 3.71 5.72
Heat Conductivity 5.93 4.16
Thermal Expansion Coefficient 0.22 0.23
Table 2: Relation of Mean Fluid Property Values in respective HTF Temperature Range
(data from [3], [7], [8])
2. Simulation Environment
For all simulations in this study, the simulation environment ColSim is being used [10] – enhanced by an in-
house library for concentrated solar thermal (CSP) applications [11].
Fig. 1: Simplified Sketch of the ColSim Simulation Model for Solar Thermal Power Plants
The main components of the modeled plant are the solar field solar field, consisting of several loops of solar
collector assemblies (SCA) with connecting headers, the thermal energy storage and the power block. Each
Power BlockSolar Field High Temperature Energy Storage(dependent on the concept in question)
Simulation Management
Controller
HTF hot
HTF cold PumpHTF
Temperature
PumpPower
StorageState
StorageControl
Results àß System Parameters
Plant Net Power
Heat-TracePower
Weather Data
of these units again comprises several analytical models for the description of the optical and thermo-
dynamical processes and loss mechanisms of the system components and the connecting pipework. Each unit
has its own parameter dialog, so boundary conditions, configurations and locations can be varied easily. A
central control unit controls the HTF mass flows, taking into account the current state of the system as well
meteorological conditions. The solar field outlet temperature as the main control parameter is kept constant,
when the solar field is in operation.
3. Detailed Modeling
The available solar energy input is calculated by an implemented algorithm from the given direct normal
insolation (DNI) in the considered time step, with an approach similar to that of Lippke [12]:
( ) ,
with being the effective aperture area of the considered solar concentrator assembly (SCA), ( ) accounts for the cosine effect due to the incidence angle of the solar vector, considers end losses of
the heat collecting elements (HCE) and considers mutual shading of parallel collector rows. The
incident angle modifier (IAM) used for the characterization of the assessed SCAs (Schott PTR 70 alike) is
generated with an independent ray-tracing procedure from given geometry and parameters and provided as
input to the simulation model.
A rough synopsis of further modeling which directly influences the plant behavior dependent on the HTF can
be found in the following.
3.1 Solar Field Heat Losses
Assuming the use of modern receivers (Schott PTR 70) for all analyzed HTFs the characteristics of the
receiver’s heat losses (per meter) as a function of the absorber inner wall temperature can be
written as follows [13]:
Using this relation in a one-dimensional discretization and assuming a constant irradiation over the whole
solar field, the receiver heat-losses and therefore the solar field heat losses can be determined. The fluid flow
at each node1 is characterized by the local Nusselt number which leads to a local heat transfer coefficient.
The heat flux between the HTF and the absorber wall at each node with the heat transfer coefficient α
can therefore be described as:
( )
With this simple balance the receiver heat losses at each node can be found analytically.
Furthermore heat losses in headers are taken into account. Assuming a sufficient insolation that leads to the
same heat transfer coefficient for all header pipes, heat conduction outweighs convection at the piping inner
wall which can therefore be neglected. Hence length dependent heat losses can be calculated with
the ambient temperature , the header length header-length dependent thermal conductivity
.
( )
1 mathematical representation of a fluid segment within a pipe
3.2 Solar field auxiliaries
The auxiliary power consumption based on pressure losses in the solar field piping is dependent on the fluid
velocity in the pipes. Minor and major pressure losses that occur in headers, receivers and further
components as elbows and joints are considered. In order to maintain reasonable pressure losses the header
diameter is adapted for each HTF to maintain a maximum fluid velocity of 3 m/s. For the pumps variable
speed control and a constant efficiency is assumed [14]. In all operating cases mass flow iteration is carried
out.
The freeze protection for molten salts as HTF in the solar field is crucial. For Solar Salt the temperature
should not fall below 290 °C to prevent freezing and possible pipe bursts [2]. A simplified assumption is that
all loops have the medium temperature between in and outlet as soon as pumping is stopped and that the
heating efficiency is 100 %. Further it is assumed that the loops cool out homogeneously until a lower
boarder temperature is reached. Joule resistance heating will then hold the fluid temperature constant until
solar radiation starts reheating the HTF. Those assumptions avoid complex modeling and calculation time, as
annual simulations have to be completed.
3.3 Power block characteristics
The power block characteristics are evaluated assuming a dry cooled condenser, one reheater and five
preheaters for the oil-driven steam cycle based on the SEGS-VI layout [13] using the commercial software
tool Thermoflex. For the salt system besides the superheater pressure and temperature mainly the preheating,
the reheating and the condenser pressures are adapted. Also the arrangement of the preheating section is
being rearranged in order to receive on optimized efficiency for the molten salt driven steam cycles. The
power block characteristics, which contain a variation of the ambient temperature and the thermal load cases,
are then included in the simulation model. Due to higher steam temperatures the net-efficiency for nominal
thermal load using Solar Salt (39.7 %) is higher than for Therminol VP-1(35.3 %).
3.4 Financial Model
Two characteristic values are being considered to estimate the economic feasibility of molten salts as heat
transfer fluid. The first one is the LCOE assuming the same solar field costs for each transfer fluid. The
second one is the marginal cost of the solar field that is possible for the use of molten salts assuming the
same LCOE as for thermal oil. The calculation of the LCOEs is determined by the annual energy yield of a
plant design weighted by plant availability factor and the constant annuity of the investment costs
(investment costs times annuity factor), the annual O&M and insurance costs annual costs, with an assumed
plant availability of 96% and an annuity factor of 8.88%, following the approach outlined by Morin [11]:
Fig. 2. Visualization of the Simplified Receiver Heat-Balance
5. Results and Discussion
5.1 Reference Case
For the direct comparison of molten salts and thermal oil as heat transfer medium, a solar power plant
configuration according to Andasol 3 is chosen [15]. Along with the receiver field with nearly 500,000
square meter of aperture area all modeled systems include thermal two-tank storage for 8 hours of full plant
operation.
For the comparison as many system parameters as possible are kept constant, such as configuration and
aperture area of the solar field, header lengths and all components of the steam cycle. Piping and insulation
materials as well as needed storage volume were adapted to higher operating temperatures and higher
volume-related heat capacity of the molten salts. As in the molten salt configurations only one medium for is
both, heat transfer and storage is needed, one of the heat exchangers of the original configuration is obsolete,
as shown in figure 4. In all configurations conventional heat-tracing strategy using electrical Joule resistance
heating is applied.
Quarter-hourly weather data from the Meteonorm meteorological database [16] is used for the location
Daggett / USA with an annual insolation of 2700 kWh/m². A solar field availability of 100 % during the
whole year and no soiling of the mirrors are considered in the comparison.
A closer look at the course of a summer day shows all significant factors that influence the altered electrical
net energy yields of the different HTFs. According to higher operating temperatures and thus increased heat
losses the available thermal energy from an identical solar field is less for molten salt than for thermal oil
during irradiation times. Therefore the thermal storage empties faster for the molten salts in the evening as
less energy is stored. Yet the electrical net energy production during plant operation is higher than for oil, due
to enhanced steam cycle efficiencies. Most disadvantageous for the salt is the necessity of a freeze protection,
which has to be activated during several hours every day. Regarding a whole year the use of this energy –
which nowadays is provided electrically and therefore decreases the net electrical energy output – is decisive
for possible advantages towards thermal oil as it accounts for up to 10 % of the annual electrical energy
output.
Fig. 3. Investigated Plant Layouts. Left side: conventional Andasol-3 layout for thermal oil as HTF;
Right side: adopted system layout for molten salt as HTF with one less heat exchanger
[source of picture: [15]]
The following figure shows the higher annual gross electrical output for Solar Salt (2.1 %) and HITEC
(0.8 %) compared to Therminol VP-1. The available solar energy at solar field aperture is identical for all
configurations with 1350 GWh.
Fig. 5. Annual Yields in Electrical Power with relative deviation to Therminol VP-1 results
(for reference case at location Dagget/USA)
Disregarding the electrical joule resistance heating as freeze protection this advantage is even more visible
for the net energy production of the plants (+ 5.7 % for Solar Salt and + 2.7 % for HITEC). If joule resistance
heating is applied in the solar field the energy yield of Solar Salt is 4.3 % less (HITEC + 0.4 %) than for
Fig. 4. Results of Comparison Solar Salt & HITEC with Therminol VP-1
(50 MWel reference case, Daggett/USA; for 21th
June)
thermal oil. For this case – which is the most likely at the moment – the annual efficiency for Therminol
VP-1 is 16.4 % while for Solar Salt it lies around 15.7 %.
For the given simulation case a rough economic viability comparison can be performed. The following table
summarizes the results. For the most likely case of joule resistance pipe heating and increased solar field
costs, the maximum additional costs in order to achieve an advantage compared to thermal oil for Solar Salt
are 14.4 % (HITEC 13.7 %). In the short term this may not achievable, as the additional cost, e.g. for the heat
tracing equipment, may be high. The positive marginal solar field costs are positive, even though the
electrical energy yield for molten salt is lower than for thermal oil, because storage costs can be reduced
vastly for molten salts [17]. Assuming that the thermal power for the freeze protection could be provided by a
fossil-fired source the solar field cost can further be increased as the following table shows.
Calculation Case
LCOE for Constant Solar Field Costs Marginal Solar Field Costs
Solar Salt HITEC Solar Salt HITEC
Joule Resistance Heating -8.7 % -7.9 % 14.4 % 13.7 %
Alternative Heating -14.9 % -9.4 % 27.1 % 16.6 %
Table 3. Economic viability comparison
6. Sensitivity Analysis
Various parameters have been varied while keeping all but one parameter constant regarding the described
reference case. If the simulation time is to be reduced it is possible to run annual simulations on a 30 minute
or hourly basis. Through averaging the weather data, the annual energy yield show a maximum deviation of
2 % compared to the reference case. Main differences can be seen in the course of day. Therefore also the
annual operating hours vary by up to 4.6 %.
For the location in the American Mojave desert in the reference case the annual insolation is high with
2700 kWh/m². At other locations those values cannot be achieved, which especially affects the performance
of Solar Salt driven plants as the relative heat losses and the need of energy for the freeze protection rise.
Therefore three other locations with lower annual insolation in Spain, India and Egypt are examined (also
based on Meteonorm data). The example of Bikaner in India shows that neither the gross nor the net energy
disregarding joule resistance heating for the molten salts perform better than the conventionally used thermal
oil as the thermal efficiency drops by around 8 % due to the high temperature level which has to be
maintained in the solar field while optical efficiency changes affect all systems in the same way.
Fig. 6. Annual Yields in Electrical Power with relative deviation to Therminol VP-1 results
(for reference case at location Bikaner/India)
Daggett/
USA
Borg el
Arab/ Egypt
Alméria/
Spain
Bikaner/
India
Annual Insolation [kWh/m²] 2700 2080 2000 1840
Ratio of the net energy yields of Solar
Salt to Therminol VP-1,
not considering heat-tracing
+5.6% -2.1% -2.5% -4.1%
Ratio of the net energy yields of Solar
Salt to Therminol VP-1,
considering heat-tracing
-4.3 % -13.6 % -16.5 % -18.0%
Table 4: Comparison of Achievable Annual Net Electrical Power Yields at Locations with Different
Annual Insolation
Furthermore several parameters have been investigated to estimate the optimizing potential and further
essential parameters for the molten salt plants. Possible uncertainties are the receiver heat losses. As heat loss
characteristics for molten salt receivers were not available, the characteristic of the Solel UVAC3 [18] has
been assumed for the use of salt, which leads to higher heat losses. Regarding a whole year the yields can
drop for up to 6.3 %.
Another interesting parameter is the solar field layout. For the reference case, the same layout is assumed for
all HTFs. While keeping the same aperture area the collector loop length for molten salt can be increased
which leads to higher fluid velocities and better heat transfer in the absorber piping but also to an increased
pumping power consumption. Initial variations show a potential of an increase in yield of 1.8 % for molten
salt plants compared to the reference case.
As the reference case shows, the freeze protection consumes vast amounts of electrical energy if joule
resistance heating is applied. Therefore an alternative operating strategy during solar field halt is investigated.
For the reference case it was assumed that the loops have one medium temperature as soon as the pumps
stop, which then continuously decreases until heating is activated. For the headers it was assumed that the hot
header never cools out and the cold header is heat-traced as soon as the receiver pipes are. The alternative
investigation assumes that all receiver and header pipes have a homogeneous temperature as soon as
radiation is too low for solar field operation. That would require a continuous circulation of the HTF in the
field, because header pipes do not cool down as fast as the receivers. If this strategy is followed the annual
yield of the whole plant can increase by up to 2.7 % while the heat-trace energy demand is reduced by 25 %.
Another interesting parameter which is expected to have an influence on the plant performance for molten
salt driven cycles is the solar field outlet temperature. An increased solar field operating temperature leads to
higher heat losses, while the efficiency of the steam cycle rises and the need for freeze protection is lowered
thanks to longer cooling cycles. Furthermore the need of pumping power rises with a decreased temperature
span owing to higher required mass flows.
Fig. 7. Influence of Solar Field Outlet Temperature on Plant Performance
The impact of a variation in solar field outlet temperature on annual yield is small due to the opposing
effects. The optimum is at an outlet temperature of about 530 °C with a plus of 0.7 % compared to the case of
550 °C. Further investigation and testing will have to prove whether the use of high temperature salts does
lead to higher electricity production.
Conclusions
A comprehensive C-Code model to run annual simulations of parabolic trough plants has been built. For the
comparison of molten salt with focus on Solar Salt with thermal oil (Therminol VP-1) a modern parabolic
trough plant layout at a location with high solar insolation has been chosen. As the simulations show, the
performance of molten salts as HTF in parabolic trough power plants is mainly dependent on further cost
development for components that can handle salts as HTFs. In the short run LCOEs will not be lower than for
oil-based systems.
The required heat-trace energy significantly hampers the performance of Solar Salt. Finding operation
strategies and non-electrical heat-trace options is crucial to make molten salts competitive. Reducing the
freezing point can be another possibility. Multi-component salts may be used for that purpose [19]. As could
be shown for the example of the solar field layout the use of molten salt has an optimization potential that can
be extended. Especially efficient control algorithms for plant startup, shutdown and halt modes should be
investigated. Moreover the optimal solar field temperature is not necessarily the highest possible. Further
studies and testing will be necessary to find the optimal temperature range.
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