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This paper focuses on the small-signal stability analysis of systems modeled as Neutral Delay Differential Equations (NDDEs). These systems include delays in both the state variables and their first time derivatives. The proposed approach consists in descriptor model transformation that constructs an equivalent set of Delay Differential Algebraic Equations (DDAEs) of the original NDDE. The resulting...
In this paper, we propose an optimization methodology to find the optimal topology for the data communication network in distributed frequency control of power system. In order to implement a distributed cooperative control scheme, local controllers often share their data over a data communication network. Structure of this network has a major role in determining stability of secondary cooperative...
VSCs connected to the grid through LCL filters are common in the integration of renewable energies into electrical systems. Therefore, in this paper small signal stability of the current loop of this configuration is performed. The analysis includes the getting of a state-space representation of the system, the calculation of their eigenvalues and the sensitivity analysis to the variation of some...
The three-phase voltage source converter (VSC) suffers from complex dynamics due to large signal disturbances such as grid voltage dips. In this paper, the instability phenomena of current loop and voltage loop are identified in three-phase grid-connected VSCs. Moreover, the interaction of the voltage loop and current loop is analyzed. Thus, the fault current under such situation can be calculated...
This paper addresses the positioning control problem for a direct-drive linear switched reluctance machine (LSRM) system based on the vectorization technique. The stability conditions for LSRM motion control system are obtained based on Lyapunov stability theory. The positioning controller design method for the closed-loop system is given according to the matrix eigenvalue numerical analysis method...
Voltage stability is an important factor, which needs to be taken into consideration in order to avoid voltage collapse. There are different methods used to study the voltage collapse phenomenon. In this paper, V-Q Sensitivity and Modal analyses methods are implemented on IEEE 14 bus system. Modal analysis method makes use the Jacobian matrix to determine the eigenvalues necessary to evaluate the...
This paper studies a class of complex-valued linear systems whose state evolution dependents on both the state vector and its conjugate. The complex-valued linear system comes from linear dynamical quantum control theory and is also encountered when a normal linear system is controlled by feedback containing both the state vector and its conjugate that can provide more design freedom. By introducing...
In this paper the general subject area is the stability of multidimensional linear systems. The basis is the theory of a nonnegative shift operator acting on the space of continuous bounded functions given on a locally compact group. Some spectral properties of this shift operator are established and applied to obtain new results on the stability of a class of linear multidimensional discrete systems.
Because of the significant increase in size and complexity of the networks, the distributed computation of eigenvalues and eigenvectors of graph matrices has become very challenging and yet it remains as important as before. In this paper we develop efficient distributed algorithms to detect, with higher resolution, closely situated eigenvalues and corresponding eigenvectors of symmetric graph matrices...
Under specific conditions, Voltage Source Converter based High Voltage Direct Current (VSC-HVDC) systems can experience stability, or poor-damping related issues. Analytical investigation of the system eigenvalues can demonstrate the impact of physical or control parameters on the system stability. However, especially in case of high-order systems, such expressions are challenging to obtain and so...
This work presents a comprehensive methodology for location and tuning of Power System Stabilizers (PSSs) based on multi-machine criteria. This goal is achieved by means of exploiting the benefits of the DIgSILENT PowerFactory software for management of large and complex electric power systems, and the potential of DIgSILENT Programming Language (DPL) that allows combining different application routines,...
Small-disturbance angle stability or low-frequency oscillation is one of the important stability in the power system. Although damper windings and power system stabilizer (PSS) have been proved to stabilize and improve small-disturbance angle stability. However, due to increasing demand in the recent years, adding redox flow batteries (RFB) as additional devices is crucial. This paper investigates,...
In this paper, the inverter control strategy based on Virtual Synchronous Generator (VSG) is analyzed and the power loops of VSG are explained. Then the eigenvalue method of small-signal modeling is used to prove the stability of the VSG. The key parameters including inertial coefficient, exciting coefficient, drooping coefficient and the virtual impedance were analyzed by the eigenvalues and sensitivity...
In the natural phenomenon, many systems are unstable. Moreover, the systems in the universe often have large order. The system that has a large order is more complicated than the system that has a small order. Therefore, we need to simplify the order of the system without any significant errors. Simplification of the system can be done using the reduction of the model. Model reduction can only be...
The problem of exponential stability of a linear mixed continuous-discrete systems is considerate. Such system is built basing on periodic sampling of the second order. The sufficient conditions basing on eigenvalues of the state matrix of the considered system are given. Obtained results are illustrated on the example.
We present an analysis of extended, FDTD-like methods which is based on the eigenvalues of the iteration matrix. For a stable update scheme these eigenvalues must lie within the unit circle, and this kind of analysis is applied to systems with radiation losses. For small models, it is possible to compute the eigenvalues numerically and to compare them to the spectrum of the corresponding time-continuous...
Utilizing additional devices for small signal stability enhancement of power systems is crucial over the last few years due to increasing number of demand, uncertainty of load and integrating intermittent power system based on renewable energy. Among the number of additional devices in power system, energy storage is becoming more popular in last few decade. This paper investigates the impact of different...
In this paper, we prove the convergence and determine the best convergence factor of the gradient-based iterative algorithm for the equation Ax = b by analyzing the eigenvalues of the relevant matrices. A new property of eigenvalues related to the symmetric positive definite matrix is established. By using this property, we obtain a family of iterative algorithms for the linear matrix equation and...
In this paper, the distributed adaptive finite-time consensus tracking control algorithm is proposed for multi-AUV(autonomous underwater vehicle) systems. Firstly, the graph theory is used to describe the communication topology of multi-AUV system. Secondly, a nonsingular fast terminal sliding mode is designed and the distributed control law is constructed for the multi-AUV system based on the force...
In this paper, we first formulate the event-triggered robust practical output regulation problem for a class of linear minimum-phase systems. The problem formulation requires the solution to the closed-loop system exist for all t ≥ 0, thus ruling out the possibility of the Zeno behavior, and the steady-state tracking error be made arbitrarily small. Then, we present the solvability of the problem...
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