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Centrifugal Turbines for ORC Applications b [m] = 0.01 b [m] = 0.02 b [m] = 0.03 D in, row [m] 1 0.9 0.8 0.7 0.6 0 0.2 0.4 0.6 0.8 1 Figure 3.3: Diameters ratio for a centrifugal row (Din/Dout)row, i.e. term D in Eq. (3.14), as a function of the row diameter Din, row and of the radial chord b. likely to include rows characterized by a (Din/Dout)row value smaller than unity, i.e., D < 1, see Fig. 3.3. For this condition, if the simplifying design assumptions previously described are adopted, a convergent meridional channel is likely to be obtained since A, B ≈ const. and C ≈ 1. This is the case of the preliminary fluid dynamic designs presented in §3.5, and of the 240 MWM ROT described in Ref. [32]. As anticipated, however, this is not a suitable solution, specially for small power-output machines. The present treatment demonstrates therefore that, although useful in re- ducing the complexity of the preliminary design, the simplifying assumptions usually adopted, e.g. Eqs. 3.3-3.6, are not applicable in general in the ROT field. A novel design methodology is thus necessary, following two main guidelines, i.e. 1. the blade discharge geometric angles, the radial chords, the stage expansion ratio, and the reaction degrees are allowed to vary among each cascade, 2. thediameterandthespeedofrevolutionareincludedamongtheoptimizationvariables. In particular, this last choice stems from the difficulty of providing an a priori estimation for the design quantities at hand, e.g. based on statistical information regarding existing machinery, as done in the turbomachinery practice [13, 33]. As a consequence, all the afore-mentioned quantities add to the independent variables involved in the optimization problem. This will be discussed further, with the help of several examples, in the next sections. 3.5 Design of Exemplary 1 MWe Machines The purpose of this section is to clarify the procedure presented in §3.4, by performing the design of two exemplary centrifugal turbines in the MWE power-output range. The tool adopted for the preliminary design is the in-house software zTurbo, presented in §3.2.1. The treatment follows the 67 (D/D ) [-] in out rowPDF Image | New Concepts FOR Organic Rankine Cycle Power Systems
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