Performance Limits of Differential Power Processing

基于随机微分方程的含风电系统长期稳定性分析：模型开发与基础

Long-Term Stability Analysis of Power Systems with Wind Power Based on Stochastic Differential Equations: Model Development and Foundations

本文提出基于理论的风电系统长期稳定性分析方法，通过数值实例验证了方法的准确性和高效性。

增强型神经普通微分方程用于电力系统辨识

Augmented Neural Ordinary Differential Equations for Power System Identification

本文提出基于增强型神经普通微分方程的方法，利用时间卷积网络学习隐含的相角表示，避免了相角信息的依赖，提升了电力系统辨识的性能。

Time Domain Simulation of DFIG-Based Wind Power System using Differential Transform Method

This paper proposes a new non-iterative time-domain simulation approach using Differential Transform Method (DTM) to solve the set of non-linear Differential-Algebraic Equations (DAEs) involved in a DFIG-based wind power system. The DTM is an analytical as well as numerical approach applied to solve high dimensional non-linear dynamical systems and the solution can be expressed in the form of a series. In this approach, there is no need to compute higher-order derivatives as DAEs are converted into a set of linear equations after applying transformation rules so that the power series coefficie…

Differential Transformation of Nonlinear Power Flow Equations

Differential transformation (DT) method has shown to be promising for power system simulation in our recent works. This letter applies the DT method to nonlinear power flow equations and proves that the nonlinear power flow equations are converted to formally linear equations after DT. This letter further extends the constant power load assumption in the classical power flow formulation to the more general and practical ZIP load assumption and proves that the linear equation after DT still holds for ZIP load model with slight modifications on the coefficient matrices. These results demonstrate…

A Dynamized Power Flow Method based on Differential Transformation

This paper proposes a novel method for solving and tracing power flow solutions with changes of a loading parameter. Different from the conventional continuation power flow method, which repeatedly solves static AC power flow equations, the proposed method extends the power flow model into a fictitious dynamic system by adding a differential equation on the loading parameter. As a result, the original solution curve tracing problem is converted to solving the time domain trajectories of the reformulated dynamic system. A non-iterative algorithm based on differential transformation is proposed …

Differential chaos shift keying-based wireless power transfer

In this work, we investigate differential chaos shift keying (DCSK), a communication-based waveform, in the context of wireless power transfer (WPT). Particularly, we present a DCSK-based WPT architecture, that employs an analog correlator at the receiver in order to boost the energy harvesting (EH) performance. By taking into account the nonlinearities of the EH process, we derive closed-form analytical expressions for the peak-to-average-power-ratio of the received signal as well as the harvested power. Nontrivial design insights are provided, where it is shown how the parameters of the tran…

Differential Geometric Foundations for Power Flow Computations

This paper aims to systematically and comprehensively initiate a foundation for using concepts from computational differential geometry as instruments for power flow computing and research. At this point we focus our discussion on the static case, with power flow equations given by quadratic functions defined on voltage space with values in power space; both spaces have real Euclidean coordinates. The central issue is a differential geometric analysis of the power flow solution space boundary (SSB, also in a simplifying way, called saddle node bifurcation set, SNB) both in voltage and in power…

Impasse Surface of Differential-Algebraic Power System Models: An Interpretation Based on Admittance Matrices

The impasse surface is an important concept in the differential-algebraic equation (DAE) model of power systems, which is associated with short-term voltage collapse. This paper establishes a necessary condition for a system trajectory hitting the impasse surface. The condition is in terms of admittance matrices regarding the power network, generators and loads, which specifies the pattern of interaction between those system components that can induce voltage collapse. It applies to generic DAE models featuring high-order synchronous generators, static loads, induction motor loads and lossy po…

利用微分变换法进行电力系统仿真

Power System Simulation Using the Differential Transformation Method

本文提出一种新的半解析方法用于在线时域电力系统仿真，利用微分变换法（DTM）求解电力系统微分方程模型，提高多机系统仿真效率。