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20152026
most citedSolving Power System Differential Algebraic Equations Using Differential Transformation

67 citations · 107 across the 13 of their papers we have counts for

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13 papers

math.DS2026

Calculating Domain of Attraction Boundary of Power Systems Based on the Gentlest Ascent Dynamics

Sixu Wu, Chenmin Zhang, Aiqing Zhu +3

The power system, a fundamental public utility, is increasingly important due to growing global electricity demand. Recent large-scale blackouts (e.g., Iberian Peninsula, UK) have…

eess.SY2025★ 7 cited

A Heterogeneous Multiscale Method for Efficient Simulation of Power Systems with Inverter-Based Resources

Kaiyang Huang, Min Xiong, Yang Liu +1

As inverter-based resources (IBRs) penetrate power systems, the dynamics become more complex, exhibiting multiple timescales, including electromagnetic transient (EMT) dynamics of…

eess.SY2025★ 7 cited

PI-Controlled Variable Time-Step Power System Simulation Using an Adaptive Order Differential Transformation Method

Kaiyang Huang, Yang Liu, Kai Sun +1

Dynamic simulation plays a crucial role in power system transient stability analysis, but traditional numerical integration-based methods are time-consuming due to the small time s…

eess.SY2023

A Semi-Analytical Approach for State-Space Electromagnetic Transient Simulation Using the Differential Transformation

Min Xiong, Kaiyang Huang, Yang Liu +3

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…

eess.SY2023

Semi-Analytical Electromagnetic Transient Simulation Using Differential Transformation

Min Xiong, Rui Yao, Yang Liu +2

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.…

math.DS2023

A Heterogeneous Multiscale Method for Power System Simulation Considering Electromagnetic Transients

Kaiyang Huang, Min Xiong, Yang Liu +2

Traditional dynamic security assessment faces challenges as power systems are experiencing a transformation to inverter-based-resource (IBR) dominated systems, for which electromag…

math.OC2023

Optimal Distributed Voltage Control via Primal Dual Gradient Dynamics

Mohammed N. Khamees, Yang Liu, Kai Sun

The rapidly increasing penetration of inverter-based resources into a power transmission network requires more sophisticated voltage control strategies considering their inherent o…

eess.SY2020★ 1 cited

Adaptive Switching Control of Wind Turbine Generators for Necessary Frequency Response

Yang Liu, Yichen Zhang, Kai Sun +1

This letter proposes a new control strategy for wind turbine generators to decide the necessity of switches between the normal operation and frequency support modes. The idea is to…

math.DS2020★ 2 cited

Differential Transformation of Nonlinear Power Flow Equations

Yang Liu, Kai Sun

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 equatio…

eess.SY2019★ 3 cited

Differential Transformation of a Motor Load Model for Time-Domain Simulation

Yang Liu, Kai Sun

The Differential Transformation (DT) method has demonstrated its potential in speeding up power system time-domain simulation by our previous work. This letter further derives DTs…

eess.SY2019★ 67 cited

Solving Power System Differential Algebraic Equations Using Differential Transformation

Yang Liu, Kai Sun

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 o…

math.DS2018★ 1 cited

Power System Simulation Using the Differential Transformation Method

Yang Liu, Kai Sun

This paper proposes a new semi-analytical approach for online time-domain power system simulation. The approach applies the differential transformation method (DTM) to the power sy…

eess.SY2015★ 19 cited

Power System Differential-Algebraic Equations

Bin Wang, Yang Liu, Kai Sun

This document presents an introduction of two commonly used power system differential algebraic equations for studying electromechanical oscillation and transient stability. Two ty…