Steady-State and Dynamic State-Space Model for Fast and Efficient Solution and Stability Assessment of ASDs

Harmonic Issues Assessment on PWM VSC-Based Controlled Microgrids Using Newton Methods

“…In the case of using nonlinear models of the semiconductor switches, very small time steps are needed during the switching transition, becoming prohibitive the computation time. This approach is useful and necessary if the switching phenomena want to be analyzed; however, from the power systems perspective, it is more important the harmonic interaction among the different components, elements and systems of the power grid than the intrinsic phenomena of the commutation of the semiconductor devices; nevertheless, to overcome this convergence issue of the fast time-domain methods, in [11], [12] the authors propose a model for the voltage source converter (VSC) that avoid the convergence problems for electronic-based systems and therefore this VSC model is used in this paper.…”

“…It is important to notice that, in the previous contributions, the full relationship harmonics-asymptotic stability has been overlooked; however, this problem has been addressed in [11], [12] for adjustable speed drive systems and dynamic voltage restorer, respectively, and more recently in [9] for ac power electronic-based power system but using average models. Furthermore, it has been found that, in microgrids, the variables of control and the grid are coupled and do exist an interaction between them [9], [13], such that, there are effects of the harmonic distortion on the performance of the control systems and the stability of the periodic solution, and vice versa, that must be taken into account.…”

Control Scheme for Reduced Cross-Regulation in Single-Inductor Multiple-Output DC–DC Converters

“…Conventional state space modeling assumes the ripple in the inductor current to be negligible, and thus, this approach cannot represent the system accurately [11]- [13]. A proper understanding of the system makes the design of the control mechanism easier [14], [15]. This paper presents an inductor current ripple-based modeling to analyze the system performance, and consequently, a cross-derivative state feedback mechanism that would not only ensure stable performance but also possibly eliminate cross-regulation among the outputs has been proposed.…”

Dynamic Modeling and Analysis of Single-Stage Boost Inverters under Normal and Abnormal Conditions

“…There is a variety of methods for stability analysis of power electronic converters [70][71][72][73][74][75][76][77][78]. The Lyapunov method can be applied to any dynamic system, however, defining a proper Lyapunov function for power converters are usually complicated [70][71][72][73].…”

“…Another approach is to study the eigenvalues, or poles, of the system, in order to investigate its stability [77][78]. This method has been used in this work for stability analysis of the stand-alone SSBI system.…”