THE CHOICE OF WORKING FLUID: (AND AN EFFICIENT TURBINE) Ennio Macchi Department of Energy - Politecnico di Milano

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THE CHOICE OF WORKING FLUID: THE MOST IMPORTANT STEP FOR A SUCCESSFUL ORGANIC RANKINE CYCLE (AND AN EFFICIENT TURBINE) Department of Energy - Politecnico di Milano

The key messages of this lecture 2 the choice of the working fluid is the most relevant degree of freedom in the design of ORC The turbine is the most critical component of ORC, it plays a fundamental role in system performance, as well as in system cost There is a strong relationship between the working fluid properties and the turbine architecture (speed of revolution, number of stages, dimensions) and performance (isentropic efficiency) The working fluid selection must account for its consequences on the turbine design There are several peculiarities of ORC turbines, if compared to conventional (gas, steam) turbines: The overall specific expansion work (kj/kg) is much lower: it can be handled in few stages, at relatively low peripheral speeds The adoption of transonic/supersonic flows is generally mandatory A large variety of solutions (axial or radial inflow single stage, multi-stage axial, outflow or mixed radial/axial) can be adopted

Outline of the lecture 3 Brief summary of working fluid selection criteria General characteristics The most relevant thermodynamic properties Power cycle configurations The most important parameters affecting the turbine efficiency: Stage specific speed Volume ratio Size parameter A new general correlation for preliminary (but quite accurate!) prediction of the turbine isentropic efficiency Some examples of ORC turbines successfully designed in the last 35 (!) years

General (evident) criteria for working fluid selection 4 The working fluid should be: Requirements shared with the refrigerating and air-conditioning industry commercially available (low specific cost, large quantity) Non-flammable Non-toxic environmental benign (low ODP, low GWP) compatible with materials (elastomers, metals, ).. A specific requirement for ORC thermally stable Some of the above requirements may not be fulfilled, especially for high temperature applications

Thermodynamic criteria for working fluid selection 5 Relevant properties: Molecular complexity (number of atoms per molecule): influences the shape of the Andrews curve and power cycle. Complex molecules cause: dry expansion J large fractions of heat input at variable temperature J small temperature drops in the expansion phase L large recuperators required L

Supercritical cycle with highly complex working fluid 6 dry expansion, small temperature drop Variable temperature heat input large recuperators required

Thermodynamic criteria for working fluid selection 7 Relevant properties: Molecular complexity (number of atoms/molecule): influences the shape of the power cycle. Molecular mass. Heavy molecules cause: small enthalpy drop during expansion J J poor heat transfer coefficients L Critical temperature: fundamental choice to match the heat source and sink characteristics condensation pressure: relevant for dimensions (and cost) of turbine and heat exchangers Pure fluid or mixture?? the presence of a glide (evaporation and condensation at variable temperature) could be advantageous for variable temperature heat sources and sinks

A large variety of cycle configurations Hexane saturated Hexane superheated Hexane supercritic Hexane 2 levels Turb Series Hexane 2 levels Turb Parallel Hexane/Decane mixture

Turbine Design 9 According to similarity rules, the efficiency of a turbine stage is primarily set by its specific speed and specific diameter Ns=RPS V out,is / h is 3/4 Ds=Dm / V out,is / h is 1/4 Other parameters, relevant for the turbine efficiency, are the volume ratio (compressibility effects) and the size parameter (dimensional effects: thickness, clearance, roughness, etc.)

Turbine Design 10 Both open-cycle gas turbines and steam turbines are characterized by large enthalpy drops (air and steam have light molecules): multi-stage turbines are required the expansion ratio/stage is relatively small In open-cycle heavy-duty gas turbines the volumetric flow rate experiences moderate variations along the expansion, so nearly optimum Ns can be adopted in all stages In steam cycles, the variation of volumetric flow rate is dramatic: single-shaft solutions must deal with non-optimum Ns (too low in HP, too high in LP) ORC turbines are characterized by heavy molecules, small enthalpy drops.

Important parameters in turbine design: specific speed 11 Open cycle gas turbines Steam turbines

Turbine Design 12 ORC turbines are characterized by: heavy molecules small enthalpy drops few stages large Vr per stage relevant compressibility effects (supersonic flows) large overall Vr large blade height variation in multi-stage turbines The possibility of: designing the turbine at optimum values of Ns and Ds obtaining a proper SP by selecting the working fluid properties (most relevant one : condensing pressure)

A new efficiency prediction map based on both Vr and SP, for optimized Ns, Ds single-stage turbine

The influence of Vr single-stage turbine

The influence of Vr 1.2 Mach=1 0.15 m 1.2 2 5 10 20 50 100 200 2 5 10 20 100% 50 90% 80% 70% 100 60% 50% 200 40% 30% 1 10 100 V ratio

The influence of SP single-stage turbine

The influence of SP 17

A new efficiency prediction map based on both Vr and SP, for optimized Ns, Ds Two-stage turbine 18

Turbine efficiency improvement achievable by substituting a single stage with a two stages turbine 19

First example (1978?): single-stage, 3000 rpm, 4 kwel 20

First example (1978?): single-stage, 3000 rpm, 3-4 kwel 21 Heat source: hot water (90-70 C) Heat sink: cold water (15-25 C) Working fluid: C2Cl4 (perchloroethylene), saturated cycle Tcr = 121 C M = 166 kg/kmole The first ORC built by Turboden Demonstration that it is possible to design a high efficiency (>85%), low mechanical stress turbine, directly coupled to a 3000 rpm generator, even at very low power output

22 Second example (1979): four stages axial flow turbine, 35 kwel

Second example (1979): four stages axial flow turbine, 35 kwel 23 Heat source: Thermal oil (380-300 C) from CSP (parabolic through) Heat sink: water (25-32 C) Working fluid: Flutec PP3 (C8F16) recuperated cycle Tcr = 515 C M = 400 kg/kmole 4 stages: first stage impulse, partial ammission second stage shrouded (low blade height) third and fourth stages reaction stages, untwisted blades Demonstration that it is possible to design a high efficiency (>85%), low mechanical stress turbine, directly coupled to a 3000 rpm generator, even for very high expansion ratio

Bado G., Tomei G., Angelino G., Gaia M., Macchi E. "THE ANSAL-DO 35 kw SOLAR POWER SYSTEM", Proceedings of International Solar Energy Society (ISES) Congress, Atlanta (USA), in "SUN II" Vol. 2, pp. 1090 1094, Pergamon Press, May 1979. 24

Third example (2012): single-stage axial-flow turbine, R-134a 500 kwel (see ENEL presentation, this congress) 25

Third example (2012): single-stage axial-flow turbine, R-134a, 500 kwel (see ENEL presentation, this congress) 26 The test turbine was a single-stage, low Ns, SP axial turbine (500 kw) The scaled-up turbine will be a two-stage, high efficiency axial turbine (10 MW) Single-stage turbine Two-stage turbine

Fourth example: 1000 kwel, 3 stages out-flow, working fluid: Flutec PP1, hot source: hot water (170 C) cold sink: ambient air 27

RADIAL OUTFLOW vs AXIAL TURBINE Losses breakdown 25% 20% 15% 10% profile secondary annulus leakage 5% 0% ASS AX RAD ASS AX RAD ASS AX RAD 1 2 3 Δh AX RAD 1 31.9% 24.9% 2 31.9% 32.5% 3 36.2% 42.7% η AX RAD 1 79.3% 81.3% 2 84.1% 86.4% 3 85.5% 89.1% Radial vs Axial Efficiency + 4.14% For the same ORC

Fourth example: 1000 kwel, 3 stages out-flow, working fluid: Flutec PP1, hot source: hot water (170 C) cold sink: ambient air 29

Fifth example: 1 MWel, 4 stages outflow, working fluid: hydrocarbon 30

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32 THANK YOU FOR YOUR ATTENTION!