Wind Generator Model for Fault Diagnosis

2013 ◽  
Vol 347-350 ◽  
pp. 1430-1434
Author(s):  
Wei Wang ◽  
Hai Fang Yu ◽  
Chang Fu Zheng ◽  
Yan Shi Zhao
Keyword(s):  
Mathematical Model ◽  
Fault Diagnosis ◽  
Wind Turbine ◽  
Synchronous Generator ◽  
Equation Model ◽  
Generator Voltage ◽  
Drive Chain ◽  
The Moment ◽  
Tower Vibration ◽  
The Mathematical Model

In order to make a diagnosis of wind turbine failure, the mathematical model of the wind turbine should be prepared. This model can provide a theoretical basis for fault diagnosis. establishing the mathematical model of the main part of the generator being discussed on theoretical ,including the tower vibration, wind wheel and drive chain, the moment of inertia of the wind turbine and the synchronous generator voltage equation model in dq coordinate system. Its main focus on the demand for wind turbine fault diagnosis.

scholarly journals On Variable-Universe Fuzzy Control for Drive Chain of Front-End Speed Regulated Wind Generator

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Hongwei Li ◽  
Kaide Ren ◽  
Haiying Dong ◽  
Shuaibing Li
Keyword(s):  
Neural Network ◽  
Wind Turbine ◽  
Wind Turbines ◽  
Fuzzy Controller ◽  
Synchronous Generator ◽  
Variable Universe ◽  
Neural Network Controller ◽  
Front End ◽  
Network Controller ◽  
Drive Chain

The rapid development of wind generation technology has boosted types of the new topology wind turbines. Among the recently invented new wind turbines, the front-end speed regulated (FSR) wind turbine has attracted a lot of attention. Unlike conventional wind turbine, the speed regulation of the FSR machines is realized by adjusting the guide vane angle of a hydraulic torque converter, which is converterless and much more grid-friendly as the electrically excited synchronous generator (EESG) is also adopted. Therefore, the drive chain control of the wind turbine owns the top priority. To ensure that the FSR wind turbine performs as a general synchronous generator, this paper firstly modeled the drive chain and then proposed to use the variable-universe fuzzy approach for the drive chain control. It helps the wind generator operate in a synchronous speed and outperform other types of wind turbines. The multipopulation genetic algorithm (MPGA) is adopted to intelligently optimize the parameters of the expansion factor of the designed variable-universe fuzzy controller (VUFC). The optimized VUFC is applied to the speed control of the drive chain of the FSR wind turbine, which effectively solves the contradiction between the low precision of the fuzzy controller and the number of rules in the fuzzy control and the control accuracy. Finally, the main shaft speed of the FSR wind turbine can reach a steady-state value around 1500 rpm. The response time of the results derived using VUFC, compared with that derived from a neural network controller, is only less than 0.5 second and there is no overshoot. The case study with the real machine parameter verifies the effectiveness of the proposal and results compared with conventional neural network controller, proving its outperformance.

The Control and Model of Synchronous Generator on Ship

2012 ◽  
Vol 195-196 ◽  
pp. 1095-1101
Author(s):  
Le Luo ◽  
Lan Gao ◽  
Liang Chen ◽  
Liang Hu
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Simulation Model ◽  
Synchronous Generator ◽  
Excitation Control ◽  
Synchronous Generators ◽  
Simulation Test ◽  
Power Station ◽  
Model And Simulation ◽  
The Mathematical Model

This paper analyzes the characteristics of marine power station. The mathematical model and simulation model of synchronous generators AVR+PSS excitation control system was built. At last the simulation test of suddenly add load was did in MATLAB/simulink environment. The result shows that the excitation control system has well stability, rapidity and some robustness.

scholarly journals Modeling and Simulation of Aviation Engine Ignition Spark Frequency Disorder

2015 ◽  
Vol 9 (1) ◽  
pp. 193-199 ◽  
Author(s):  
Shi Xudong ◽  
Li Hongguang ◽  
Wang Ruowen ◽  
Xu Meng
Keyword(s):  
Mathematical Model ◽  
Fault Diagnosis ◽  
Modeling And Simulation ◽  
Circuit Simulation ◽  
Aircraft Engine ◽  
Safety And Reliability ◽  
Fault Mechanism ◽  
The Mathematical Model ◽  
Ignition Device

Igniter is an important part of aircraft engine, which should be reliable to ensure safety. Spark frequency disorder is common fault to the aviation ignition device, and it is great hidden danger to the aircraft engine. To guarantee the safety and reliability of aviation igniter, the fault mechanism of the aviation ignition spark frequency disorder is researched in this paper. The factors which will result in spark frequency disorder are studied, and the mathematical model of the ignition circuit and circuit simulation are presented, which lays the foundation for the follow-up research on the design of aviation ignition and the fault diagnosis.

scholarly journals INVESTIGATION OF THE INFLUENCE OF PRESSING BELTS TENSION OF THE BACK CIRCUIT OF PRESS - SELECTIVE PR-1.5

2018 ◽  
Vol 13 (2) ◽  
pp. 76-76
Author(s):  
Валерий Белов ◽  
Valeriy Belov ◽  
Леонид Рыбаков ◽  
Leonid Rybakov ◽  
Светлана Овчукова ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Experimental Studies ◽  
Field Research ◽  
Test Protocol ◽  
Optimal Value ◽  
The Stability ◽  
The Moment ◽  
The Mathematical Model ◽  
Elastic Characteristics

A brief analysis of suspension mechanisms and ways to improve the quality of press harvesting for flax harvesting is considered. By researching the mathematical model, the authors prove the possibility of increasing the stability of the elastic characteristics of the suspension mechanisms by changing the angle between the levers or changing the geometry of the structure, for example, the attachment point of a two-arm lever. Particular attention is drawn to the new term “reduced rigidity” of the suspension mechanism. Using this notion and the method of its determination, the authors recommend determining the optimal value of the reduced stiffness of the suspension in the way of mathematical modeling and using this indicator as the main optimization parameter. The results of theoretical and experimental studies were presented by the authors in the form of elastic characteristics of the suspension mechanisms. When conducting a study of the mathematical model, it is suggested to take into account the condition of equality of the maximum values of the moments of forces from the action of the tension forces of the belts or the mass of the working element and the moment of forces acting on the side of the tension springs. During the research of the suspension mechanism, the actual dimensions of the PR-1.5 baler design were adopted. At the same time, we briefly describe the design of the improved tensioning mechanism of a baler for flax harvesting. A rather detailed analysis is given by the authors of the obtained elastic characteristics of the suspension mechanism. Some new features of the elastic characteristics of the suspension mechanism that have not been previously detected are described. To confirm the correctness of the reasoning, the authors implemented their research in a real press-picker and conducted field research that confirmed the possibility of improving the quality of the upgraded version of the machine. To confirm the results of the research, the authors presented a fragment of the field test protocol. The task is solved, uniformity of the roll density is ensured and its density is increased.

Probabilistic model of structural phase transition in perovskites

2021 ◽  
pp. 2150211
Author(s):  
S. H. Jabarov ◽  
R. T. Aliyev ◽  
N. A. Ismayilova
Keyword(s):  
Mathematical Model ◽  
Phase Transitions ◽  
Crystal Structures ◽  
Structural Phase ◽  
Random Variable ◽  
Structural Phase Transitions ◽  
The Moment ◽  
The Mathematical Model ◽  
First Time

In this work, the crystal structures and phase transitions of compounds with perovskite structure were investigated. The classification of structural phase transitions in perovskites was carried out, the most common crystal structures and structural phase transitions were shown. A mathematical model was constructed, a theorem was given and proved for the probability of a possible transition. The formulas [Formula: see text] and [Formula: see text] are given for the mathematical expectation and variance of random variable [Formula: see text], which is the moment when the stochastic process [Formula: see text] deviation from the boundary [0, [Formula: see text]] interval for the first time. According to the mathematical model, one of the trajectories of random processes corresponding to the phase transitions that occur in perovskites is constructed.

scholarly journals Wind Turbine Planetary Gear Defect Detection with Mathematical Modelling through Transmission Error

2019 ◽  
Vol 8 (3S2) ◽  
pp. 367-370
Keyword(s):  
Mathematical Model ◽  
Wind Turbine ◽  
Error Function ◽  
Weight Ratio ◽  
Planetary Gear ◽  
Transmission Error ◽  
Power Sector ◽  
Wind Turbine Gearbox ◽  
The Mathematical Model ◽  
Modern Era

Analysis and prediction of planetary gear set defects has been a requirement in the wind power sector since years. Though a wind turbine gearbox is operating with many different gear types, planetary gear stage finds use in the modern era due to its high torque-to-weight ratio. This paper aims to build and validate the mathematical model of planetary gear set and understand the change in dynamic response by changing the error function during gear meshing. A single stage planetary gear has been implemented for the purpose of verification of the mathematical model. MW sized gearbox parameters have been fed to the model and real gear defect amplitude has been taken as error in the model. This helps understanding the dynamic behaviour of planetary gear set during operation under defective gear condition.

scholarly journals Chaotic Analysis of Fractional-Order Permanent Magnet Synchronous Generator for Wind Turbine

2021 ◽  
Vol 2066 (1) ◽  
pp. 012090
Author(s):  
Li Yang ◽  
Fuzhao Yang ◽  
Sudan Huang ◽  
Tao Liang ◽  
Tianmin Huang
Keyword(s):  
Wind Turbine ◽  
Fractional Order ◽  
Chaotic Motion ◽  
Synchronous Generator ◽  
Scale Transformation ◽  
Stable Operation ◽  
Strongly Coupled ◽  
Lyapunov Stability Analysis ◽  
Theory Of Lyapunov Stability ◽  
The Mathematical Model

Abstract Fractional-order wind turbine is a strongly coupled non-linear dynamic system. It mainly studies the significant chaos characteristics such as the complex chaotic motion with fractional order varying. According to the mathematical model of the system, the fractional order Lorenz chaotic equation is established by linear affine transformation and time scale transformation. The theory of Lyapunov stability analysis is adopted to deeply study the development process of the system from stable operation to chaotic motion. The correctness of the chaos characteristics of the system is verified.

scholarly journals THE STUDY OF THE AUTONOMOUS SYNCHRONOUS GENERATOR MODES

2017 ◽  
Vol 60 (5) ◽  
pp. 433-445
Author(s):  
V. S. Safaryan
Keyword(s):  
Mathematical Model ◽  
Angular Velocity ◽  
Power System ◽  
Synchronous Generator ◽  
Transition Process ◽  
Static Stability ◽  
Stationary Points ◽  
Natural Form ◽  
Fourth Degree ◽  
The Mathematical Model

The importance of the problem of the static stability of the stationary mode of the power system for its operation is extremely high. The investigation of the static stability of the power system is a subject of a number of works, but the problems of static stability of the stationary points of an autonomous synchronous generator are given little attention. The article considers transient and resonant (stationary) modes of the generator under active-inductive and active-capacitive loads. Mathematical model of transients in a natural form and in the coordinate system d, q are plotted. It is discovered that the mathematical model of the transition process of an autonomous synchronous generator is identical to the mathematical model of the transition process of the synchronous machine under three-phase short circuit. Electromagnetic transients of an autonomous synchronous generator are described by a system of linear autonomous differential equations with constant coefficients. However, the equivalent circuit of a generator contains dependent sources. We investigated the stability of stationary motion of an autonomous synchronous generator at a given angular velocity of rotation of the rotor. The condition for the existence and stability of stationary points of an autonomous synchronous generator is derived. The condition for the existence of stationary points of such a generator does not depend on the active load resistance and stator windings, and inductance of the rotor. The determining of stationary points of the generator is reduced to finding roots of a polynomial of the fourth degree. The graphs of electromagnetic torque dependencies on the angular velocity of rotation of the rotor (mechanical characteristics) are plotted. The equivalent circuits, corresponding to the equations of the transition process of an autonomous synchronous generator, are featured as well.

scholarly journals The Problem of Two Bodies with a Finite Velocity of Gravity

2019 ◽  
pp. 160-164
Author(s):  
Vasyl Slyusarchuk
Keyword(s):  
Mathematical Model ◽  
Gravitational Field ◽  
Mathematical Apparatus ◽  
Universal Gravitation ◽  
Finite Velocity ◽  
Delay Argument ◽  
Velocity Of Light ◽  
The Moment ◽  
The Mathematical Model ◽  
Two Bodies

From the moment of Newton’s discoveryof the law of universal gravitation, ordinary differentialequations were used to study the motion of bodies,since it was assumed that the velocity of gravitationis infinite. However, in reality the velocity of gravityis finite, which is consistent with the theory of relativityof Einstein, which postulated that the velocity ofgravity matches the velocity of light, and the studiesconducted by S. Kopeikin and E. Fomalont on the fundamentallimit of the velocity of gravity. Due to thedelay of the gravitational field for studying the motionof bodies, the mathematical apparatus based on differentialequations with a delay argument is the mostacceptable one. These equations are used to constructand study the mathematical model of the motion of twobodies. It is shown that the motion of these bodies withidentical masses (with finite velocity of gravity!) is notcarried out in accordance with Kepler’s laws.

scholarly journals Fault Diagnostic Methodology for Grid-Connected Photovoltaic Systems

2021 ◽  
Vol 2 (2) ◽  
pp. 10-30
Author(s):  
Proenza Y. Roger ◽  
Camejo C. José Emilio ◽  
Ramos H. Rubén
Keyword(s):  
Mathematical Model ◽  
Fault Diagnosis ◽  
Solar Energy ◽  
False Alarm ◽  
False Alarm Rate ◽  
Real System ◽  
Photovoltaic Systems ◽  
Energy Research ◽  
Santiago De Cuba ◽  
The Mathematical Model

This research focuses on the design of a fault diagnosis methodology to contribute to the improvement of efficiency, maintainability and availability indicators of Grid-Connected Photovoltaic Systems. To achieve this, we start from the study of the mathematical model of the photovoltaic generator, then, a procedure is performed to quantify the operational losses of the photovoltaic generator and adjust the mathematical model of this to the real conditions of the system, through a polynomial adjustment. A real system of nominal power 7.5 kWp installed in the Solar Energy Research Center of the province of Santiago de Cuba is used to evaluate the proposed methodology. Based on the results obtained, the proposed approach is validated to demonstrate that it successfully supervises the system. The methodology was able to detect and identify 100% of the simulated failures and the tests carried out had a maximum false alarm rate of 0.22%, evidencing its capacity.

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