Working fluids for high-temperature organic Rankine cycles
Research highlights
► ORC systems with alkanes, aromates and siloxanes as working fluids are modelled. ► Maximum working fluid temperatures range from 180°C to 300°C. ► Thermal efficiencies of the cycles are about 70% of the Carnot efficiency. ► Optimizations of the net power output from a given heat carrier are performed. ► Rankings based on power output and design show cyclopentane as best working fluid.
Introduction
Organic Rankine cycles (ORC) can be used for conversion of heat to power. Heat at different temperature levels may be available as geothermal heat, as biogenic heat from biomass and biogas combustion, as solar or as waste heat. Whilst ORC processes are known already for some time [1], [2], [3] they gain presently a rapidly increasing interest. An actual overview was given in [4]. A crucial problem in designing an ORC process is the selection of the working fluid where thermodynamic, stability, safety and environmental aspects have to be considered. A classification of the cycles can be done according to their maximum working fluid temperature Tmax. Here we consider working fluids for cycles with Tmax between 180 °C and 300 °C to which we refer as high-temperature cycles. Earlier studies of high-temperature cycles which concentrate mainly on the thermodynamic aspects are given, e.g. in [5], [6], [7], [8], [9]. For low temperature cycles an extensive investigation of working fluids at subcritical and supercritical pressures with Tmax up to 100 °C was given in [10]. Other interesting work on low temperature cycles is reported in [8], [9], [11], [12], [13], [14], [15], [16], [17].
Regarding the modeling of high-temperature ORC processes, Angelino and Colonna considered first alkanes, aromates and perfluorinated benzene [5] and then siloxanes [6] as working fluids. Actually, existing high-temperature ORC plants use mainly siloxanes [18], [19], [20] and some few also toluene [21], [22]. Recently, Drescher and Brüggemann [7] considered about 700 working fluids for the high-temperature range and concluded that the highest thermal efficiencies are found for the alkylbenzenes. A certain problem with the thermodynamic studies in [5], [6], [7] is that they are based on cubic equations of state. This was already realized by Colonna et al. [23] who consequently developed multi-parameter equations of state for the siloxanes. As these equations contain 12 substance parameters which are fitted to rather limited experimental datasets, there remains again some uncertainty. In this situation a promising alternative is to use molecular based equations of state like BACKONE [24] or PC-SAFT [25] which need only 3–5 substance-specific parameters. For alkanes BACKONE parameters are available from a previous study on natural gas [26]. In addition, we determined recently also BACKONE parameters for the cycloalkanes cyclopentane and cyclohexane, for the aromates benezene, toluene, ethylbenzene, butylbenze, m-xylene, o-xylene and p-xylene [27] and PC-SAFT parameters for the first five linear siloxanes [28]. Instead of the full chemical names of the siloxanes we use the abbreviations MM for hexamethyldisiloxane (C6H18OSi2), MDM for octamethyltrisiloxane (C8H24O2Si3), MD2M for decamethyltetrasiloxane, (C10H30O3Si4), and MD3M for dodecamethylpentasiloxane (C12H36O4Si5).
In the present paper we consider as working fluids (1) the alkanes n-butane, n-pentane, and cyclopentane, (2) the aromates toluene, ethylbenzene, butylbenze, m-xylene, o-xylene and p-xylene, and (3) the linear siloxanes MM, MDM, MD2M, and MD3M. We first perform thermodynamic case studies of ORC processes for given maximum and minimum temperatures and pressures. The maximum ORC temperatures are assumed to be 250 °C and 300 °C. As we do not include in these systems a pinch analysis of external heat exchangers (EHEs) for the heat transfer to and from the cycle, we call them “isolated” ORC processes. The importance of including such pinch analyses in modeling ORC systems depends on the specific heat source [10] or the plant design [7]. In many cases, however, e.g. if waste heat is used, the pinch point problem in the EHE where the heat is transferred from a heat carrier to the working fluid (EHE) plays a crucial role for the power output of the system. Hence, we consider in a second step systems consisting of an ORC plus an EHE. For these studies heat carrier inlet temperatures Tin of 280 °C and 350 °C are assumed. As it is known [10], [29], [30] that supercritical pressures of the working fluid may improve the heat transfer in the EHE considerably, we will study processes with sub- and supercritical maximum pressures.
In Section 2 we describe ORC processes in general, consider different cycle types and address the heat transfer from the heat carrier to the working fluid. In Section 3 we select potential working fluids for the temperature ranges considered. For the selected working fluids the parameters for BACKONE and PC-SAFT equations are given together with equations for the isobaric ideal gas heat capacities. Moreover, we show the reliability of these equations of state. In Section 4 we give minimum temperatures Tmin and maximum temperatures Tmax and other boundary conditions and discuss the selection of the maximum pressures pmax. In Section 5 the results for the thermal efficiencies and other thermodynamic properties of “isolated” ORC processes with different working fluids are shown for three pairs of (Tmin, Tmax). In Section 6 systems including the heat transfer by a single stage EHE to the ORC will be considered. Heat capacity flow rates for production of 1 MW net power output are studied for different cycles and working fluids and results of optimized EHE + ORC systems are presented.
Section snippets
Plant configurations and fluid flows
The Clausius–Rankine cycle is known from the standard textbooks of thermodynamics as, e.g. [1]. The plant configuration of an ORC with internal heat exchanger (IHE) is shown in Fig. 1. The IHE transfers heat from (4,4a) to (2,2a) and is not contained in the most simple configuration.
Let us first describe the plant and the process without IHE. The plant consists of a pump, a heater, a turbine and a cooler-condenser. The mass flow rate of the working fluid is denoted by . In state 1 the working
Potential working fluids
In this study we consider pure fluids from the groups of alkanes, aromates and linear siloxanes as working fluids for ORC processes with maximum temperatures Tmax being between 180 °C and 300 °C. For the exploration of optimal maxiumum pressures in Section 4.2 toluene is even considered at Tmax = 350 °C. For the present selection of a working fluid all the following criteria have to be fulfilled: (1) the critical temperature of the fluid has to be higher than 150 °C. (2) A molecular based fundamental
Assumptions
In the following Sections we consider ORC example cases with different boundary conditions for the ORC process and different temperatures Tin = T5 of the heat carrier at the inlet of the EHE.
As already mentioned in the Introduction we consider first cycles with maximum ORC temperatures Tmax being 250 °C and 300 °C which are inspired by previous papers [5], [6], [8], [18], [19], [20], [52], [53], [54]. The minimum temperature Tmin is assumed for both Tmax values to be Tmin = 85 °C which is appropriate
Thermodynamic results for ORC processes
In this section results for ORC processes with different working fluids will be presented and discussed. The boundary conditions are those of Cases 1 to 3 as described in Section 4.1. The cycles are studied without and with IHE. For simplicity in the discussion, the thermal efficiencies ηth of cycles without IHE will be denoted by ηth− and those of cycles with IHE by ηth+ if it is necessary for distinction.
Moreover it seems appropriate to give a ranking of the working fluids for which we take
Power output optimization including heat transfer to the ORC
As is known [10], [29], the pinch point in the EHE may have a strong influence on the net power output of an ORC process for a given heat carrier which can be characterized by its inlet temperature Tin = T5 and its heat capacity flow rate . In particular it is known for o2 cycles [29] that by variation of the maximum temperature Tmax of the ORC working fluid the net power output can be optimized for given T5 and .
Here, instead of optimizing the net power output of the ORC system
Summary
In the present paper we have investigated potential pure working fluids for high-temperature ORC processes. The analysis is based on thermodynamic data derived from the molecular based equations of state BACKONE and PC-SAFT. The fluids considered are alkanes, linear siloxanes and aromates.
In a first part (Section 5) we considered “isolated” ORC processes at given maximum and minimum temperatures and pressures without including a pinch analysis of EHEs. In this part of the study we found certain
Acknowledgement
The authors gratefully acknowledge fruitful discussions with Professor Dr.-Ing. Jadran Vrabec and Dipl.-Ing. Frithjof Dubberke, Universitaet Paderborn, and with Dr.-Ing. Wilhelm Althaus, Fraunhofer-Institut UMSICHT Oberhausen. Moreover, Ngoc Anh Lai gives thanks to Österreichischer Austauschdienst for financial support by a Technologiestipendium.
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Present address: Heat Engineering Department, Hanoi University of Technology, Vietnam.