Toward design optimization of a Pelton turbine runner

Abstract

The objective of the present paper is to propose a strategy to optimize the performance of a Pelton runner based on a parametric model of the bucket geometry, massive particle based numerical simulations and advanced optimization strategies to reduce the dimension of the design problem. The parametric model of the Pelton bucket is based on four bicubic Bézier patches and the number of free parameters is reduced to 21. The numerical simulations are performed using the finite volume particle method, which benefits from a conservative, consistent, arbitrary Lagrangian Eulerian formulation. The resulting design problem is of High-dimension with Expensive Black-box (HEB) performance function. In order to tackle the HEB problem, a preliminary exploration is performed using 2'000 sampled runners geometry provided by a Halton sequence.

Novel trends in modelling techniques of Pelton Turbine bucket for increased renewable energy production

“…Vessaz et al [58] presented a strategy for optimization for performance of Pelton turbine bucket. The parametric model of the bucket was developed with four bicubic Bezier patches defined by 21 free parameters.…”

Dynamic Model for Axial Motion of Horizontal Pelton Turbine and Validation in Actual Failure Case

“…is amplitude modulation is incorporated to the model using the modulation function A h in equation (3). e shape of modulation function is based on CFD results of force and torque variation due to rotation as [10] (solid line in Figure 8 for single bucket as rotor rotates).…”

“…e modulation function considers the first four harmonics of twice pole passing frequency (2Z P Ω, 4Z P Ω, 6 Z P Ω, and 8Z P Ω). In equation (10), a mn and b mn are the Fourier coefficients that are calculated to describe time waveform of magnetic force modulation function in Figure 12.…”

CFD-based optimization of scroll compressor design and uncertainty quantification of the performance under geometrical variations

“…Although some examples of CFD-based design procedure can be found in literature [13], [14], [15], all of them are related to turbomachines, whose complex design has favored the development of dedicated CFD approaches from decades. Regarding scroll machines, over the last years, researchers have started to analyze their performance using numerical approaches.…”