|
ABSTRACT
An effective methodology for optimal design of axial
turbine blades is presented. It has been used for achieving
stage maximal efficiency meeting both stress-strain and
vibration reliability requirements and taking into account
technological limitations.
INTRODUCTION
Problem formulations of the turbine flow path
optimization reflect main phases of axial turbines design
practice [1] and use increasingly accurate models of
elaborated designs. As the industry moves forward,
integration of 3D modeling of aerodynamic and strength
of material characteristics into optimization process
generates continuously increasing interest. Usually, such
optimization refers to analysis of separate blade row or
isolated stage [2 - 7, 9] and involves a large number of
optimization parameters. This leads to enormous
computational time and requires significant computational
resources. Nevertheless, 3D modeling is an important part
of numerical modeling along with conventional 1D and
2D approaches.
This paper describes a process of optimal flow path design
that is achieved through the following steps:
- rapid flow path design and optimization using
reduced order models and axi-symmetrical solver;
- blade cross-sections profiling according to
aerodynamic criteria, blade stacking (3D profiling)
with optimized twist/lean;
- generation of parameterized mesh for buckets and
parameterized grid for inter-blade passages;
- detailed 3D CFD computations and finite element
structural and modal analyses with commercial
CFD and FEA tools;
- design optimization using design of experiment
(DoE) methods and reduced order models.
Process begins from preliminary flow path design. Tools
such as AxSTREAM™ allow significantly reduce the
search range for bucket optimal configuration.
AxSTREAM™ uses stage and airfoil optimizations that
are based on DoE methods in combination with 2D
aerodynamic and 1D structural calculations. Computed data
can be exported to external tool for mesh and grid generation.
|
MinuteMesh-Turbo™, a parameterized mesh generator
specifically developed for turbomachinery applications can be
used as a preprocessor for industry standard CFD and FEA
packages. MinuteMesh-Turbo™ generates complete FE
models consisting of structured mesh, loads, boundary
conditions (BC's) and material properties. Models are
optimized for modal, harmonic and structural analyses with
FEA solver of choice. FE model could contain one blade, a
packet of blades and up to a full bladed disk assembly with all
components: airfoils, shroud, tiewires, root, disk, etc.
MinuteMesh-Turbo™ also creates a grid of inter-blade flow
path for CFD analysis.
AxPLAN™ DoE tool makes possible to decrease a number of
time-consuming 3D computations by evaluating the response
function sensitivity to varied parameters. It also formulates
and solves optimization problems, and acts as pre- and postprocessor.
Besides this, it is possible to store and re-use
reduced order models for quick design of geometrically
similar buckets without detailed 3D CFD computations.
Described tools are seamlessly integrated with industry
standard 3D CFD and FEA packages and, therefore, can be
used by design organizations with minimal changes to
established design practices.
NOMENCLATURE
| α1 – |
nozzle exit angle; |
| β2 – |
blade exit angle; |
| δ1 – |
nozzle lean; |
| δ2 – |
blade lean; |
| Ã – |
vector of geometrical parameters; |
| P – |
vector of operational parameters; |
| m1, m2 – |
nozzle and blade twist parameters; |
| t, T – |
time; |
| Q – |
vector of varied parameters; |
| Y – |
vector of response function; |
| NURBS – |
non-uniform rational B-spline; |
|