scholarly journals State Vector Identification of Hybrid Model of a Gas Turbine by Real-Time Kalman Filter

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 659
Author(s):  
Gustavo Delgado-Reyes ◽  
Pedro Guevara-Lopez ◽  
Igor Loboda ◽  
Leobardo Hernandez-Gonzalez ◽  
Jazmin Ramirez-Hernandez ◽  
...  
Keyword(s):  
Kalman Filter ◽  
Real Time ◽  
Gas Turbine ◽  
State Vector ◽  
Convergence Time ◽  
Mean Square ◽  
Real Time Simulation ◽  
Time Simulation ◽  
The Mean ◽  
Mean Square Errors

A model and real-time simulation of a gas turbine engine (GTE) by real-time tasks (RTT) is presented. A Kalman filter is applied to perform the state vector identification of the GTE model. The obtained algorithms are recursive and multivariable; for this reason, ANSI C libraries have been developed for (a) use of matrices and vectors, (b) dynamic memory management, (c) simulation of state-space systems, (d) approximation of systems using equations in matrix finite difference, (e) computing the mean square errors vector, and (f) state vector identification of dynamic systems through digital Kalman filter. Simulations were performed in a Single Board Computer (SBC) Raspberry Pi 2® with a real-time operating system. Execution times have been measured to justify the real-time simulation. To validate the results, multiple time plots are analyzed to verify the quality and convergence time of the mean square error obtained.

A High-Fidelity Real-Time Simulation Code of Gas Turbine Dynamics for Control Applications

2002 ◽  
Author(s):  
S. M. Camporeale ◽  
B. Fortunato ◽  
M. Mastrovito
Keyword(s):  
Mathematical Model ◽  
Real Time ◽  
Gas Turbine ◽  
Dynamic Behavior ◽  
Computational Time ◽  
High Fidelity ◽  
Simulation Code ◽  
Real Time Simulation ◽  
Time Simulation ◽  
The Mathematical Model

A novel high-fidelity real-time simulation code based on a lumped, non-linear representation of gas turbine components is presented. The aim of the work is to develop a general-purpose simulation code useful for setting up and testing control equipments. The mathematical model and the numerical procedure are specially developed in order to efficiently solve the set of algebraic and ordinary differential equations that describe the dynamic behavior of the gas turbine engine. The paper presents the model and the adopted solver procedure. The code, developed in Matlab-Simulink using an object-oriented approach, is flexible and can be easily adapted to any kind of plant configuration. For high-fidelity purposes, the mathematical model takes into account the actual composition of the working gases and the variation of the specific heats with the temperature, including a stage-by-stage model of the air-cooled expansion. Simulation tests of the transients after load rejection have been carried out for a single-shaft heavy-duty gas turbine and a double-shaft industrial engine. Time plots of the main variables that describe the gas turbine dynamic behavior are shown and the results regarding the computational time per time step are discussed.

scholarly journals A Comparison of Analog, Digital and Hybrid Computing Techniques for Simulation of Gas Turbine Performance

1974 ◽  
Author(s):  
B. D. MacIsaac ◽  
H. I. H. Saravanamuttoo
Keyword(s):  
Real Time ◽  
Gas Turbine ◽  
Dynamic Performance ◽  
Hybrid Computing ◽  
Real Time Simulation ◽  
Advantages And Disadvantages ◽  
Turbine Performance ◽  
Time Simulation ◽  
Digital Or

Simulation of gas turbine dynamic performance can be accomplished using analog, digital or hybrid computing techniques. The paper discusses computing techniques for each type of computer and reviews their advantages and disadvantages. It is concluded that the three types of simulation are complementary to each other and that all three computers have their place: the analog is essential for real time simulation of complex engines, the digital is most suitable for detailed studies and the hybrid combines the ease of integration of the analog with the logic and stored program capability of the digital.

Realization of the Precise Point Positioning (PPP) technique and its accuracy

2017 ◽  
Vol 927 (9) ◽  
pp. 42-49
Author(s):  
A.V. Voytenko
Keyword(s):  
Precise Point Positioning ◽  
Russian Language ◽  
Convergence Time ◽  
Practical Implementation ◽  
Mean Square ◽  
Dual Frequency ◽  
Russian Scientist ◽  
The Mean ◽  
Point Positioning ◽  
Mean Square Errors

The article notes that the replacement of the English name «Precise Point Positioning» (PPP) in Russian-language sources is possible using the term «accurate differential positioning» (TDP) technique. The author proposes to use both terms. This article contains information about the practical implementation of the PPP in the on-line service. The author has analyzed the research on the accuracy of PPP foreign and domestic experts and scholars. The author analyzed the data about the convergence time for PPP solutions. These data belong to another Russian scientist. The results of evaluating the accuracy of the PPP of different scientists led to the next. The author of this article gave the mean square errors topocentric coordinates of the geodetic points. The coordinates of the points must be obtained by dual-frequency GPS-measurements for a period of 24 hours with the help of PPP. The author proposed a formula for the calculation of the mean square error of the spatial position of geodetic point, if its position is obtained in the processing of dual-frequency GPS-observations of less than 24 hours. The article written conclusions about the features, defects and PPP development.

Modulization of four-stroke single-cylinder spark-ignition air-cooled engine models

2007 ◽  
Vol 221 (8) ◽  
pp. 1015-1026 ◽  
Author(s):  
Y-Y Wu ◽  
B-C Chen ◽  
F-C Hsieh
Keyword(s):  
Real Time ◽  
Mean Value ◽  
Complex Model ◽  
Small Scale ◽  
Real Time Simulation ◽  
Engine Model ◽  
Output Performance ◽  
Time Simulation ◽  
Engine Design ◽  
The Mean

In order to satisfy different requirements for engine design and real-time simulation, modulization technology is used in this paper to establish the engine model for small-scale engines. The model consists of simple and complex modules of charging, torque, friction, and crankshaft dynamics, which are established in Matlab/Simulink and verified using the experimental data. Different sets of these modules can be selected for various applications. For engine design, a complex model, which consists of the wave-action charging module and the mean-value combustion module, is employed to study the effects of inlet and exhaust systems on torque output performance. For real-time simulation, different levels of complexity can be selected according to the hardware-in-the-loop requirement of the control verification.

scholarly journals Real-time simulation test-bed for an industrial gas turbine engine’s controller

2018 ◽  
Vol 19 (3) ◽  
pp. 311 ◽  
Author(s):  
Morteza Montazeri-Gh ◽  
Seyed Alireza Miran Fashandi ◽  
Soroush Abyaneh
Keyword(s):  
Embedded System ◽  
Real Time ◽  
Gas Turbine ◽  
Dynamic Performance ◽  
Operational Reliability ◽  
Test Bed ◽  
Real Time Simulation ◽  
Engine Model ◽  
Time Simulation ◽  
Industrial Gas Turbine

A hardware-in-the-loop (HIL) test for a control unit of an industrial gas turbine engine is performed to evaluate the designed controller. Although the dynamic performance of the studied gas turbine is strictly related to the variable inlet guide vain (VIGV) position, one of the main challenges is to develop an engine model considering VIGV variations. The model should also be capable of real time simulation. Accordingly, the gas turbine is numerically modeled using bond graph concepts. To demonstrate the operational reliability of the engine’s control strategy, the control algorithm is implemented on an industrial hardware as an embedded system. This is then put into a HIL test along with the engine model. The actual component (controller) and the virtual engine model are the hardware and software parts of the HIL test, respectively. In this experiment, the interaction between the real part and the rest of the system is compared with that of the completely numerical model in which the controller is a simulated software-based model as is the engine itself. Finally, the results indicate that the physical constraints of the engine are successfully satisfied through the implementation of control algorithms on the utilized hardware.

scholarly journals Analysis of Mobile 3-D Radar Error Registration when Radar Sways with Platform

2013 ◽  
Vol 67 (3) ◽  
pp. 451-472
Author(s):  
L. Chen ◽  
G.H. Wang ◽  
Y. He ◽  
I. Progri
Keyword(s):  
Numerical Simulation ◽  
Kalman Filter ◽  
Lower Bound ◽  
State Vector ◽  
Time Varying ◽  
Mean Square ◽  
Dependent Variables ◽  
Simulation Results ◽  
New Variables ◽  
Mean Square Errors

For mobile radars installed on a gyro-stabilised platform (GSP) that can steadily follow an East-North-Up (ENU) frame, attitude biases (ABs) of the platform and offset biases (OBs) of the radar are linear dependent variables. Therefore ABs and OBs are unobservable in the linearized registration equations; however, when combining them as new variables, the system becomes observable, and this model has been called the unified registration model (URM). Unlike GSP mobile radars, un-stabilised GSP (or UGSP) mobile radars are installed on the platform directly and rotate with the platform simultaneously. For UGSP, it is testified that both types of biases are independent and observable because the time-varying attitude angles (AAs)1 of the platform are included in the registration equations, which destroy the dependencies of both kinds of biases and lead us to propose a completely different linearized registration model– the All Augmented Model (AAM). AAM employs all OBs and ABs in the state vector and a Kalman filter (KF) to produce their estimates. Numerical simulation results show that the estimated performance of AAM is close to the Cramér-Rao lower bound (CRLB) and that the Root Mean Square Errors (RMSEs) of the rectified measurements by using AAM are more than 500 m smaller than by URM in all directions.

Real-Time Simulation of a Gas Turbine Driven Power Plant for Control System Design

2011 ◽  
Vol 44 (1) ◽  
pp. 9555-9560 ◽  
Author(s):  
Indira X Alcaide-Godinez ◽  
Isaura Hernandez-Rodriguez ◽  
Raul Garduno-Ramirez
Keyword(s):  
Control System ◽  
Power Plant ◽  
System Design ◽  
Real Time ◽  
Gas Turbine ◽  
Control System Design ◽  
Real Time Simulation ◽  
Time Simulation
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