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An overview is given on two representative methods of dynamical reduction known as center-manifold reduction and phase reduction. These theories are presented in a somewhat more unified fashion than the theories in the past. The target…

Adaptation and Self-Organizing Systems · Physics 2019-10-31 Yoshiki Kuramoto , Hiroya Nakao

This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage power flow solution does not necessarily imply small-signal…

Optimization and Control · Mathematics 2020-05-22 Saber Jafarpour , Victor Purba , Sairaj V. Dhople , Brian Johnson , Francesco Bullo

Converter-based generators and loads are growing in prevalence on power grids across the globe. The rise of these resources necessitates controllers that handle the power electronic devices' strict current limits without jeopardizing…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Lauren Streitmatter , Trager Joswig-Jones , Baosen Zhang

This paper develops a multivariable current control strategy for inverter-based resources (IBRs) based on optimal control theory to enhance their dynamic performance and grid synchronization stability. The structure of the implemented…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Hassan Yazdani , Ali Maleki , Saeed Lotfifard , Ali Saberi

This paper considers an incremental Volt/Var control scheme for distribution systems with high integration of inverter-interfaced distributed generation (such as photovoltaic systems). The incremental Volt/Var controller is implemented with…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Antonin Colot , Elisabetta Perotti , Mevludin Glavic , Emiliano Dall'Anese

We consider the problem of controlling switched-mode power converters using model predictive control. Model predictive control requires solving optimization problems in real time, limiting its application to systems with small numbers of…

Systems and Control · Computer Science 2016-01-21 Nicholas Moehle

Transformers have excelled in many tasks including vision. However, efficient deployment of transformer models in low-latency or high-throughput applications is hindered by the computation in the attention mechanism which involves expensive…

Computer Vision and Pattern Recognition · Computer Science 2024-06-12 John Yang , Le An , Su Inn Park

Model order reduction encompasses mathematical techniques aimed at reducing the complexity of mathematical models in simulations while retaining the essential characteristics and behaviors of the original model. This is particularly useful…

Quantum Physics · Physics 2026-04-21 Wentao Fan , Hakan E. Türeci

Oscillations between swing modes of electric machines is an important limitation in achieving a high level of transient performance and reliability in power grids. Based on the new advances in measurement and transmission of wide-area…

Systems and Control · Computer Science 2015-04-09 Babak Tavassoli

In this paper, we propose a suboptimal and reduced-order Model Predictive Control (MPC) architecture for discrete-time feedback-interconnected systems. The numerical MPC solver: (i) acts suboptimally, performing only a finite number of…

Optimization and Control · Mathematics 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

This paper presents a new distributed control framework to coordinate inverter-interfaced distributed energy resources (DERs) in island microgrids. We show that under bounded load uncertainties, the proposed control method can steer the…

Optimization and Control · Mathematics 2018-02-09 Chin-Yao Chang , Wei Zhang

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

Optimization and Control · Mathematics 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

Fast-acting smart inverters that utilize preset operating conditions to determine real and reactive power injection/consumption can create voltage instabilities (over-voltage, voltage oscillations and more) in an electrical distribution…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Shammya Shananda Saha , Daniel Arnold , Anna Scaglione , Eran Schweitzer , Ciaran Roberts , Sean Peisert , Nathan G. Johnson

We consider the problem of optimal reactive power compensation for the minimization of power distribution losses in a smart microgrid. We first propose an approximate model for the power distribution network, which allows us to cast the…

Optimization and Control · Mathematics 2013-12-17 Saverio Bolognani , Sandro Zampieri

Due to the fluctuating nature of the wind and the increasing use of wind energy as a power source, wind power will have an increasing negative influence on the stability of the power grid. In this paper, a model predictive control strategy…

Systems and Control · Electrical Eng. & Systems 2020-07-14 Valentijn van de Scheur , Sjoerd Boersma

Direct torque control is considered as one of the most efficient techniques for speed and/or position tracking control of induction motor drives. However, this control scheme has several drawbacks: the switching frequency may exceed the…

Systems and Control · Computer Science 2012-09-07 Jean Thomas , Anders Hansson

A new strategy is proposed to control interior permanent magnet generators in dc microgrids interfaced through an active rectifier. The controller design is based on the decomposition of the system dynamics into slow and fast modes using…

Systems and Control · Electrical Eng. & Systems 2020-10-09 Luis Herrera , Chad Miller , Bang-Hung Tsao

In this paper we propose a novel adaptive online optimization algorithm tailored to the management of microgrids with high renewable energy penetration, which can be formulated as a constrained, online optimization problem. The proposed…

Optimization and Control · Mathematics 2025-12-05 Wouter J. A. van Weerelt , Angela Fontan , Nicola Bastianello

We propose a method for designing two-dimensional limit-cycle oscillators with prescribed periodic trajectories and phase response properties based on the phase reduction theory, which gives a concise description of weakly-perturbed…

Chaotic Dynamics · Physics 2024-04-30 Norihisa Namura , Tsubasa Ishii , Hiroya Nakao

AI data center loads create query-driven power transients on millisecond timescales. Such loads can violate the timescale separation assumptions underlying internal inverter control of grid-following resources collocated with data centers…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Miroslav Kosanic , Marija Ilic