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The design of grid-connected distributed energy systems (DES) has been investigated extensively as an optimisation problem in the past, but most studies do not include nonlinear constraints associated with unbalanced alternating current…

最优化与控制 · 数学 2022-04-28 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

The quantum mechanics of superconducting circuits is derived by starting from a classical Hamiltonian dynamical system describing a dissipationless circuit, usually made of capacitive and inductive elements. However, standard approaches to…

量子物理 · 物理学 2024-05-28 Andrew Osborne , Andrew Lucas

The reliable operation of a power distribution system relies on a good prior knowledge of its topology and its system state. Although crucial, due to the lack of direct monitoring devices on the switch statuses, the topology information is…

系统与控制 · 电气工程与系统科学 2021-10-19 Yijun Xu , Jaber Valinejad , Mert Korkali , Lamine Mili , Yajun Wang , Xiao Chen , Zongsheng Zheng

The Connes and Lott reformulation of the strong and electroweak model represents a promising application of noncommutative geometry. In this scheme the Higgs field naturally appears in the theory as a particular `gauge boson', connected to…

高能物理 - 理论 · 物理学 2015-06-26 F. Lizzi , G. Mangano , G. Miele , G. Sparano

While most approaches to geometric quantum computation is based on geometric phase in cyclic evolution, noncyclic geometric gates have been proposed to increase further the flexibility. While these gates remove the dynamical phase of the…

量子物理 · 物理学 2023-09-22 Nils Eivarsson , Erik Sjöqvist

This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential-algebraic equations. The proposed structure, inspired by the port-Hamiltonian formalism, ensures passivity, preserves…

As ASIC supply voltages approach one volt, the source-impedance goals for power distribution networks are driven ever lower as well. One approach to achieving these goals is to add decoupling capacitors of various values until the desired…

系统与控制 · 电气工程与系统科学 2023-01-24 Jonathan L. Fasig , Barry K. Gilbert , Erik S. Daniel

In this work, we study the existence of various classes of standing waves for a nonlinear Schr\"odinger system with quadratic interaction, along with a harmonic or partially harmonic potential. We establish the existence of ground-state…

偏微分方程分析 · 数学 2025-02-18 Vicente Alvarez , Amin Esfahani

The present thesis deals with some properties of classical and quantum scalar fields in an inhomogeneous and/or time-dependent background, focusing on models where the latter can be described as a curved space-time with an event horizon.…

广义相对论与量子宇宙学 · 物理学 2017-08-08 Florent Michel

This paper shows that the concept of complex frequency, originally introduced to characterize the dynamics of signals with complex values, constitutes a generalization of eigenvalues when applied to the states of linear time-invariant (LTI)…

系统与控制 · 电气工程与系统科学 2026-05-22 Nikolas Sofos , Federico Milano

We construct a non-chiral current algebra in two dimensions consistent with conformal invariance. We show that the conformal current algebra is realized in non-linear sigma-models on supergroup manifolds with vanishing dual Coxeter number,…

高能物理 - 理论 · 物理学 2010-10-19 Sujay K. Ashok , Raphael Benichou , Jan Troost

In this paper we show how to extend the known algorithm of nodal analysis in such a way that, in the case of circuits without nullors and controlled sources (but allowing for both, independent current and voltage sources), the system of…

符号计算 · 计算机科学 2009-03-13 Eberhard H. -A. Gerbracht

Rotational inertia is stabilizing the frequency of electric power systems against small and large disturbances, but it is also the cause for oscillations between generators. As more and more conventional generators are replaced by renewable…

最优化与控制 · 数学 2017-05-10 Theodor Borsche , Florian Dörfler

This paper proposes a new methodology to maximize the feasible set of power injections and cross-border power transfers in meshed multi-area power systems. The approach used polyhedral computation schemes and is an extension to the classic…

最优化与控制 · 数学 2015-11-03 Alexander Fuchs , Marc Scherer , Göran Andersson

We study a type of port-Hamiltonian system, in which the controller or disturbance is not applied to the flow variables, but to the systems power, a scenario that appears in many practical applications. A suitable framework is provided to…

系统与控制 · 计算机科学 2018-02-08 Pooya Monshizadeh , Juan E. Machado , Romeo Ortega , Arjan van der Schaft

The fully nonlinear notion of resonance$-$\textit{geometrical resonance}$-$in the general context of dissipative systems subjected to spatially periodic \textit{phase-modulated} potentials is discussed. It is demonstrated that there is an…

混沌动力学 · 物理学 2023-09-22 Ricardo Chacón

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

最优化与控制 · 数学 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

Introducing new components and functionalities into quantum devices is critical in advancing state-of-the-art hardware. Here, we propose superconducting diodes (SDs) as a coherent nonreciprocal element in circuit quantum electrodynamics…

量子物理 · 物理学 2026-04-22 Nicolas Dirnegger , Prineha Narang , Arpit Arora

Scaled Relative Graphs (SRGs) provide a novel graphical frequency-domain method for the analysis of Nonlinear (NL) systems. In this paper, we restrict the SRG to particular input spaces to compute frequency-dependent incremental gain bounds…

系统与控制 · 电气工程与系统科学 2025-09-10 Julius P. J. Krebbekx , Roland Tóth , Amritam Das

The geometric phase stands as a foundational concept in quantum physics, revealing deep connections between geometric structures and quantum dynamical evolution. Unlike dynamical phases, geometric phases exhibit intrinsic resilience to…

量子物理 · 物理学 2025-12-03 Zheng-Yuan Xue , Cheng-Yun Ding