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Quasi-dynamic energy flow calculation is an indispensable tool for the heat and electricity integrated energy system (HE-IES) analysis. One solves the nonlinear partial differential algebraic equations to obtain thermal, hydraulic and…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Ruizhi Yu , Wei Gu

Electromagnetic transient (EMT) simulation is a crucial tool for power system dynamic analysis because of its detailed component modeling and high simulation accuracy. However, it suffers from computational burdens for large power grids…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Min Xiong , Kaiyang Huang , Yang Liu , Rui Yao , Kai Sun , Feng Qiu

In an integrated electricity-gas system (IEGS), the tight coupling of power and natural gas systems is embodied by frequent changes in gas withdrawal from gas-fired units to provide regulation services for the power system to handle…

Systems and Control · Electrical Eng. & Systems 2023-04-21 Han Gao , Peiyao Zhao , Zhengshuo Li

We develop an operator splitting method to simulate flows of isothermal compressible natural gas over transmission pipelines. The method solves a system of nonlinear hyperbolic partial differential equations (PDEs) of hydrodynamic type for…

Computational Physics · Physics 2022-06-03 Sergey A. Dyachenko , Anatoly Zlotnik , Alexander O. Korotkevich , Michael Chertkov

For electromagnetic transient (EMT) simulation of a power system, a state-space-based approach needs to solve state-space EMT equations by using numerical integration methods, e.g., the Euler method, Runge-Kutta methods, and…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Min Xiong , Rui Yao , Yang Liu , Kai Sun , Feng Qiu

Simulation and control of the transient flow in natural gas networks involve solving partial differential equations (PDEs). This paper proposes a semi-analytical solutions (SAS) approach for fast and accurate simulation of the natural gas…

Dynamical Systems · Mathematics 2022-10-10 Xin Xu , Rui Yao , Kai Sun , Feng Qiu

We propose a hidden convexity-based method to address distributed optimal energy flow (OEF) problems for transmission-level integrated electricity-gas systems. First, we develop a node-wise decoupling method to de-compose an OEF problem…

Optimization and Control · Mathematics 2024-07-09 Rong-Peng Liu , Yue Song , Junhong Liu , Xiaozhe Wang , Jinpeng Guo , Yunhe Hou

This paper proposes a novel non-iterative method to solve power system differential algebraic equations (DAEs) using the differential transformation, a mathematical tool that can obtain power series coefficients by transformation rules…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Yang Liu , Kai Sun

Power flow analysis plays a fundamental and critical role in the energy management system (EMS). It is required to well accommodate large and complex power system. To achieve a high performance and accurate power flow analysis, a graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-20 Chen Yuan , Yi Lu , Wei Feng , Guangyi Liu , Renchang Dai , Yachen Tang , Zhiwei Wang

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…

Systems and Control · Electrical Eng. & Systems 2022-02-16 Pradeep Singh , Upasana Buragohain , Nilanjan Senroy

A dynamic state estimation method of integrated natural gas and electric power systems (IGESs) in proposed. Firstly, the coupling model of gas pipeline networks and power systems by gas turbine units (GTUs) is established. Secondly, the…

Signal Processing · Electrical Eng. & Systems 2022-01-19 Liang Chen , Xinxin Hui , Songlin Gu , Manyun Huang , Yang Li

The increasing integration of Distributed Energy Resources (DERs) into power systems necessitates the accurate representation of their dynamic behavior at the transmission level. Traditional electromagnetic transient models (EMT), while…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Shadrack T. Asiedu , Tara Aryal , Zongjie Wang , Hossein Moradi Rekabdarkolaee , Timothy M. Hansen

With more energy networks being interconnected to form integrated energy systems (IESs), the optimal energy flow (OEF) problem has drawn increasing attention. Extant studies on OEF models mostly utilize the finite difference method (FDM) to…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Binbin Chen , Wenchuan Wu , Qinglai Guo , Hongbin Sun

This paper presents an implicit method for the discrete unified gas-kinetic scheme (DUGKS) to speed up the simulations of the steady flows in all flow regimes. The DUGKS is a multi-scale scheme finite volume method (FVM) for all flow…

Fluid Dynamics · Physics 2018-10-18 Dongxin Pan , Chengwen Zhong , Congshan Zhuo

We consider a non-isothermal compositional gas liquid model for the simulation of well operations in geothermal processes. The model accounts for phase transitions assumed to be at thermodynamical equilibrium and is based on an…

Numerical Analysis · Mathematics 2024-01-05 Daniel Castanon Quiroz , Laurent Jeannin , Simon Lopez , Roland Masson

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…

Dynamical Systems · Mathematics 2020-04-20 Yang Liu , Kai Sun

In this paper, we first propose a filter-based continuous Ensemble Eddy Viscosity (EEV) model for stochastic turbulent flow problems. We then propose a generic algorithm for a family of fully discrete, grad-div regularized, efficient…

Numerical Analysis · Mathematics 2025-08-15 Brandiece N. Berry , Md Mahmudul Islam , Muhammad Mohebujjaman , Neethu Suma Raveendran

In many power systems, particularly those isolated from larger intercontinental grids, operational dependence on natural gas becomes pivotal, especially during fluctuations or unavailability of renewables coupled with uncertain consumption…

Optimization and Control · Mathematics 2024-05-10 Criston Hyett , Laurent Pagnier , Jean Alisse , Igal Goldshtein , Lilah Saban , Robert Ferrando , Michael Chertkov

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…

Dynamical Systems · Mathematics 2022-03-10 Yang Liu , Kai Sun , Jiaojiao Dong

We study the modeling and simulation of gas pipeline networks, with a focus on fast numerical methods for the simulation of transient dynamics. The obtained mathematical model of the underlying network is represented by a nonlinear…

Numerical Analysis · Mathematics 2023-04-18 Yue Qiu , Sara Grundel , Martin Stoll , Peter Benner
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