scholarly journals The Interaction Stability Analysis of a Multi-Inverter System Containing Different Types of Inverters

Energies ◽  
2018 ◽  
Vol 11 (9) ◽  
pp. 2244 ◽  
Author(s):  
Chen Zheng ◽  
Qionglin Li ◽  
Lin Zhou ◽  
Bin Li ◽  
Mingxuan Mao
Keyword(s):  
Stability Analysis ◽  
Power Grid ◽  
Root Locus ◽  
Criterion A ◽  
Locus Method ◽  
Different Types ◽  
Simulation And Experiment ◽  
The Stability ◽  
Harmonic Resonance ◽  
Universal Interaction

The existing stability investigations of the system containing different types of inverters are insufficient. The paper aims to reveal the more universal interaction stability mechanism of the system containing different types of inverters. Firstly, the multi-inverter system is decomposed into an admittance network (AN) and excitation sources. Then, the interaction between two different inverters, as well as the interaction between the inverter and the power grid, are analyzed by the root locus method. This reveals that the stability of the interaction between the inverter and the power grid is exclusively determined by AN. However, the stability of the interaction between different inverters not only depends on AN but also relies on whether the two inverters have common right-half plane (RHP) poles. To make the multi-inverter system stable, the following two criteria must be satisfied: (a) AN is stable and (b) any two different inverters do not have the same RHP poles. If criterion (a) is not satisfied, the harmonic resonance will arise in all currents. Resonant harmonics will only circulate among partial inverters and will not inject into the power grid if criterion (a) is satisfied but criterion (b) is not satisfied. Theoretical analysis is validated by simulation and experiment results.

Stability and Vibrations of Geometrically Nonlinear Cylindrically Orthotropic Circular Plates

1984 ◽  
Vol 51 (2) ◽  
pp. 354-360 ◽  
Author(s):  
D. Shilkrut
Keyword(s):  
Stability Analysis ◽  
Qualitative Methods ◽  
Dynamic Method ◽  
Numerical Results ◽  
Geometrically Nonlinear ◽  
Circular Plates ◽  
Different Types ◽  
The Stability ◽  
Thermal Influence ◽  
Cylindrically Orthotropic

The stability analysis of axisymmetrical equilibrium states of geometrically nonlinear, orthotropic, circular plates that are deformed by multiparameter loading, including thermal influence, is presented. The dynamic method (method of small vibrations) is used to accomplish this purpose. The behavior of the plate in different cases is revealed. In particular, it is shown that two different types of snapping processes can occur. The values of frequencies of small eigenvibrations from various cases have been calculated. These investigations are realized by numerical and qualitative methods. Here only the numerical results are presented.

Stability analysis and control in the process of floating-target capture with hardware-in-the-loop system

2017 ◽  
Vol 44 (1) ◽  
pp. 49-57
Author(s):  
Zongwu Xie ◽  
Xiaoyu Zhao ◽  
Yu Zhang ◽  
Qi Zhang ◽  
Haitao Yang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Industrial Robot ◽  
System Stability ◽  
Hardware In The Loop ◽  
Root Locus ◽  
Content Type ◽  
Target Capture ◽  
Locus Method ◽  
The Status ◽  
The Stability

Purpose The purpose of this paper is to develop an easily implemented and practical stabilizing strategy for the hardware-in-the-loop (HIL) system. As the status of HIL system in the ground verification experiment for space equipment keeps rising, the stability problems introduced by high stiffness of industrial robot and discretization of the system need to be solved ungently. Thus, the study of the system stability is essential and significant. Design/methodology/approach To study the system stability, a mathematical model is built on the basis of control circle. And root-locus and 3D root-locus method are applied to the model to figure out the relationship between system stability and system parameters. Findings The mathematical model works well in describing the HIL system in the process of capturing free-floating targets, and the stabilizing strategy can be adopted to improve the system dynamic characteristic which meets the needs of the practical application. Originality/value A method named 3D root-locus is extended from traditional root-locus method. And the improved method graphically displays the stability of the system under the influence of multivariable. And the strategy that stabilize the system with elastic component has a strong feasible and promotional value.

The stability analysis of implants installed in osteotomies with different types of controlled bone defects

2015 ◽  
Vol 30 (1) ◽  
pp. 210-215 ◽  
Author(s):  
Cong Zhou ◽  
Lingmin Yu ◽  
Chen Dong ◽  
Liyao Cong ◽  
Hongbing Shi ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Bone Defects ◽  
Different Types ◽  
The Stability

scholarly journals A Gallery of Root Locus of Fractional Systems

2013 ◽  
Author(s):  
J. A. Tenreiro Machado
Keyword(s):  
Stability Analysis ◽  
Transfer Functions ◽  
Numerical Procedure ◽  
Root Locus ◽  
Closed Loop System ◽  
Fractional Systems ◽  
Finite Precision ◽  
Know How ◽  
The Stability ◽  
Fractional Orders

The root locus (RL) is a classical tool for the stability analysis of integer order linear systems, but its application in the fractional counterpart poses some difficulties. Therefore, researchers have mainly preferred to adopt frequency based methods. Nevertheless, recently the RL was considered for the stability analysis of fractional systems. One first method is by tacking advantage of commensurable expressions that occur when truncating fractional orders up to a finite precision. The second method consists of searching the complex plane for solutions of the characteristic equation using a numerical procedure. The resulting charts are insightful about the characteristics of the closed-loop system that outperform the frequency response methods. Given the limited know how in this particular topic and the shortage of literature, this study explores several types of fractional-order transfer functions and presents the corresponding RL.

The Stability Analysis on the Different Types of Single Layer Latticed Shell

2013 ◽  
Vol 788 ◽  
pp. 598-601
Author(s):  
Jun Qiang Wu ◽  
Yu Cui
Keyword(s):  
Stability Analysis ◽  
Static Load ◽  
Single Layer ◽  
Static Stability ◽  
Different Types ◽  
Practical Engineering ◽  
Small Structure ◽  
The Stability ◽  
Lattice Shell ◽  
Better Than

This single-layer spherical reticulated shell has the advantages of reasonable stress,beautiful appearance ,fast construction,is widely applied in practical engineering. Through the static stability analysis of three kinds of single-layer spherical lattice shell structure using ansys, we get them in the uniform deformation under static load, the modal, buckling load. The results show that: The Kiewitt latticed shells displacement is small, structure is stable, better than SchwedLer and lianfang.

Root-locus approach to the stability analysis of interval matrices

1987 ◽  
Vol 46 (3) ◽  
pp. 817-822 ◽  
Author(s):  
YAU-TARNG JUANG ◽  
TE-SON KUO ◽  
CHEN-FA HSU ◽  
SHENG-DE WANG
Keyword(s):  
Stability Analysis ◽  
Root Locus ◽  
Interval Matrices ◽  
The Stability

Viscous flow between two moving parallel disks: exact solutions and stability analysis

2002 ◽  
Vol 464 ◽  
pp. 209-215 ◽  
Author(s):  
S. N. ARISTOV ◽  
I. M. GITMAN
Keyword(s):  
Exact Solution ◽  
Stability Analysis ◽  
Incompressible Liquid ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Viscous Incompressible Liquid ◽  
Navier Stokes Equations ◽  
Parallel Disks ◽  
Different Types ◽  
The Stability

The motion of a viscous incompressible liquid between two parallel disks, moving towards each other or in opposite directions, is considered. The description of possible conditions of motion is based on the exact solution of the Navier–Stokes equations. Both stationary and transient cases have been considered. The stability of the motion is analysed for different initial perturbations. Different types of stability were found according to whether the disks moved towards or away from each other.

NEW CHARACTERISERS OF BIFURCATIONS FROM KINK SOLUTIONS IN A COUPLED SINE CIRCLE MAP LATTICE

2001 ◽  
Vol 11 (09) ◽  
pp. 2501-2508 ◽  
Author(s):  
GAURI R. PRADHAN ◽  
NEELIMA GUPTE
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Spatial Period ◽  
Circle Map ◽  
Stability Matrix ◽  
Different Types ◽  
The Stability ◽  
Bifurcation Behavior ◽  
Solution Changes

Kink solutions in coupled sine circle map lattices demonstrate interesting bifurcation behavior. These are illustrated by the study of spatial period two kink solutions for this system. Different types of spatiotemporal solutions such as temporally frozen kinks, spatiotemporally synchronized solutions and kink induced temporally intermittent solutions appear in different regions of parameter space for this system and bifurcations are seen from one type of solution to another. The upper boundaries of the regions where the kinks are stable can be picked up by linear stability analysis. However, the eigenvalues of the stability matrix do not cross the unit circle along the lower stability boundaries, although the nature of the solution changes. Thus linear stability analysis is not sufficient to identify these lower boundaries. Hence we have proposed new characterisers which are capable of identifying such boundaries. Our identifiers successfully pick up the lower boundaries missed by linear stability analysis as well as the upper boundaries. Our characterisers could be of utility in other situations as well.

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