Robust optimization of turbomachinery cascades using inverse methods

Reis, C. J. B.; Filho, Nelson Manzanares; Lima, Antônio Marcos Gonçalves de

doi:10.1007/s40430-015-0309-5

Cited by 10 publications

(6 citation statements)

References 7 publications

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“…At the same time, fewer numbers of fluid dynamic parameters are needed to represent the blade geometry compared to the geometrical parameters, and it is beneficial for the multi-objective optimization design of the hydraulic machinery. As a result, the IDM, three-dimensional turbulence simulation technique, and optimization algorithm are usually combined to solve the multi-objective optimization problem of the turbomachinery (as summarized in Table 1), and the design quality can be improved significantly [55][56][57][58]60,[66][67][68]. [61,69] (3) Efficiency, maximum slope in flow-head curve, and shut-off power/head [64] (4) Efficiency, suction specific speed [68] IDM + CFD + MOGA/NSGA-II [55,61] IDM + DoE + CFD + RSM + MOGA [64] IDM + CFD + SLP/EP/SA/GA [68] IDM + DoE + CFD + RBNN + NSGA-II [69] Cavitation performance improved and leading edge sweep reduced [55] Performances at both design and off-design point improved [61,69] Efficiency and suction performance improved [68] [ As seen in Table 1, the inverse-design-based optimization methods have been applied successfully to different types of turbomachinery such as pumps, turbines, pump-turbines, compressors, and fans.…”

Section: Application Of the Inverse Design Methods To Optimizationmentioning

confidence: 99%

Three-Dimensional Inverse Design Method for Hydraulic Machinery

2019

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Hydraulic machinery with high performance is of great significance for energy saving. Its design is a very challenging job for designers, and the inverse design method is a competitive way to do the job. The three-dimensional inverse design method and its applications to hydraulic machinery are herein reviewed. The flow is calculated based on potential flow theory, and the blade shape is calculated based on flow-tangency condition according to the calculated flow velocity. We also explain flow control theory by suppression of secondary flow and cavitation based on careful tailoring of the blade loading distribution and stacking condition in the inverse design of hydraulic machinery. Suggestions about the main challenge and future prospective of the inverse design method are given.

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Section: Application Of the Inverse Design Methods To Optimizationmentioning

confidence: 99%

Three-Dimensional Inverse Design Method for Hydraulic Machinery

2019

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“…For example, in aerodynamic designs, numerical optimization tools coupled with CFD enable to optimize aerodynamic shapes (turbomachinery cascades, blades, wings, airfoils, etc.) for a desired application, increasing their efficiency during their useful life and reducing significantly the costs of performing a wind tunnel test [2]. However, for more realistic situations in which uncertainties are present, it is not uncommon to see a naive application of numerical optimization tools producing unexpected problems with unacceptable optimal results [1].…”

Section: Introductionmentioning

confidence: 99%

“…The interest is to provide optimal aerodynamic performances that remain unchanged, even in the presence of disturbances caused by manufacturing/assembling errors, natural wear or small changes in operational conditions, just to mention a few. Clearly, there exist uncertainties related to the assumptions adopted in the construction of the numerical model [1][2][3][4], but in the present study, these uncertainties have not been taken into account in this study.…”

Section: Introductionmentioning

confidence: 99%

“…The inverse design method combined with genetic algorithms tools has been applied by Obayashi and Takanashi [12] for isolated transonic airfoils, but without any attempt to address the issue of robustness. Despite the fact that much research on robust analyses coupled with direct design methods has been carried out in the open literature, few papers [2] have been addressed the robust design strategies for airfoil inverse designs, which motivates the present study.…”

Section: Introductionmentioning

confidence: 99%

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Robust optimization of aerodynamic loadings for airfoil inverse designs

Reis

Filho

Lima

2019

J Braz. Soc. Mech. Sci. Eng.

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For the modern design of more realistic aerodynamic shapes, disturbances caused by uncertain operating conditions must be conveniently considered, since they can affect significantly the performance of the designed systems. In this situation, the concept of robust design in conjunction with optimization tools is strongly recommended, since the interest is to maximize the performance and its robustness, simultaneously. Clearly, the great number of exact evaluations normally required to compute the robustness makes the robust optimization in aerodynamics computationally prohibitive, particularly when direct methods are chosen. To overcome this drawback, inverse methods appear as an interesting option, provided a robust aerodynamic loading can be furnished previously at low computational costs. However, few works have been dedicated to this subject in the open literature, which motivates the present study. The focus is to apply the robustness concept to optimize the velocity (or pressure) distributions for airfoil inverse designs, using a boundary layer method to predict the aerodynamic coefficients prior to the knowledge of the final airfoil shape. Here, the velocity distribution is parameterized using B-spline polygons with a set of control points, where the design variables are the ordinates of these points in the parameterization. The resulting robust multiobjective optimization problem involves the performance of the airfoil as a first objective function and its robustness introduced as additional objective to be optimized simultaneously. To illustrate the usefulness of the proposed robust design method, an example of drag minimization for an isolated airfoil is addressed and the aerodynamic coefficients for the optimal airfoils are compared with the corresponding obtained by experiments from the open literature.

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“…The classification of the RDO has been introduced and modified as described in details by [1]. The application of RDO on subsystem design is increasingly presented, especially in detailed engineering such as turbomachinery cascades [11], power capacity expansion [12], hybrid electric vehicles [13], and aerodynamic loadings for airfoil inverse design [14]. Also, robust design optimization is utilized in control of dynamical systems such as in [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Application of reliability-based robust optimization in spacecraft attitude control with PWPF modulator under uncertainties

Bohlouri

Jalali-Naini

2019

J Braz. Soc. Mech. Sci. Eng.

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The main objective of this paper is to enhance the robustness of an on-off attitude control under uncertainties while limiting the probability of failure in attitude control. To do this, the concept of system optimization is utilized for detailed engineering of spacecraft control using reliability-based robust design optimization (RBRDO). The probability of failure of the attitude control is chosen by the system designer as the input of the RBRDO algorithm. The single-axis spacecraft attitude is controlled using a combination of the observer-based anti-windup modified PI-D with pulse-width pulse-frequency modulator in the presence of external disturbance. The on-off thruster is modeled with a delay followed by a second-order transfer function. The input frequency of the thruster is limited to 50 Hz. The uncertain parameters are given as the spacecraft moment of inertia, thrust level, and thruster delay. The controller gains are determined by using traditional, robust, and reliability-based robust design optimizations under uncertainties and disturbance. The simulations are carried out using quasi-normalized equations, along with reducing problem variables and computational burden, to obtain more applicable results for a preliminary design. The traditional optimization gives the highest pointing accuracy without uncertainty, whereas the robust optimization obtains an approximately flat behavior for the mean of absolute pointing error under uncertainties. Under this situation, RBRDO could satisfy the prescribed reliability with a small loss in accuracy for the on-off attitude control of spacecraft, but under system limitations.

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Robust optimization of turbomachinery cascades using inverse methods

Cited by 10 publications

References 7 publications

Three-Dimensional Inverse Design Method for Hydraulic Machinery

Three-Dimensional Inverse Design Method for Hydraulic Machinery

Robust optimization of aerodynamic loadings for airfoil inverse designs

Application of reliability-based robust optimization in spacecraft attitude control with PWPF modulator under uncertainties

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