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This work identifies the general approach for linearising any power system component in the harmonic domain, that is with respect to its Fourier series coefficients. This ability enables detailed harmonic analysis, and is key as more power…

Systems and Control · Electrical Eng. & Systems 2025-03-31 Josh Schipper , Radnya Mukhedkar , Neville Watson , Veerabrahmam Bathini , Jan Meyer

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

This paper presents exploratory investigations on the concept of generalized geometrical frequency in electrical systems with an arbitrary number of phases by using Geometric Algebra and Differential Geometry. By using the concept of…

Systems and Control · Electrical Eng. & Systems 2022-08-12 Ahmad H. Eid , Francisco G. Montoya

We study general transformation on the density matrix of two-level system that keeps the expectation value of observable invariant. We introduce a set of generators that yields hermiticity and trace preserving general transformation which…

Quantum Physics · Physics 2019-04-17 B. A. Tay

The Variational Quantum Eigensolver approach to the electronic structure problem on a quantum computer involves measurement of the Hamiltonian expectation value. Formally, quantum mechanics allows one to measure all mutually commuting or…

Quantum Physics · Physics 2020-03-17 Tzu-Ching Yen , Vladyslav Verteletskyi , Artur F. Izmaylov

An input-output model of a two-level quantum system in the Heisenberg picture is of bilinear form with constant system matrices, which allows the introduction of the concepts of controllability and observability in analogy with those of…

Quantum Physics · Physics 2019-09-18 Guofeng Zhang , Ian R. Petersen

Harmonic instability occurs frequently in the power electronic converter system. This paper leverages multi-resolution dynamic mode decomposition (MR-DMD) as a data-driven diagnostic tool for the system stability of power electronic…

Signal Processing · Electrical Eng. & Systems 2024-04-16 Rui Kong , Subham Sahoo , Yongjie Liu , Frede Blaabjerg

The optimal design of power converters requires accurate knowledge of the dissipation elements of its system to achieve the desired performance and security requirements. Calorimetric methods have surpassed classical electrical methods for…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Jose Miguel Sanz-Alcaine , Eduardo Sebastian , Francisco Jose Perez-Cebolla , Asier Arruti , Carlos Bernal-Ruiz , Iosu Aizpuru

The magnetic inverse source problem of reconstructing the positions and currents of very long parallel conductors is considered in a two-dimensional situation, with applications to power line measurements. The input data is the magnetic…

Mathematical Physics · Physics 2013-02-27 Martin Norgren

Scale transformations have played an extremely successful role in studies of cosmological large-scale structure by relating the non-linear spectrum of cosmological density fluctuations to the linear primordial power at longer wavelengths.…

Astrophysics · Physics 2009-11-13 Jun Pan , Peter Coles , Istvan Szapudi

For almost all tendon-driven continuum robots, a segment is actuated by three or four tendons constrained by its mechanical design. For both cases, methods to account for the constraints are known. However, for an arbitrary number of…

Robotics · Computer Science 2024-09-24 Reinhard M. Grassmann , Jessica Burgner-Kahrs

Control systems are an integral part of almost every engineering and physical system and thus their accurate analysis is of utmost importance. Traditionally, control systems are analyzed using paper-and-pencil proof and computer simulation…

Logic in Computer Science · Computer Science 2017-07-24 Adnan Rashid , Osman Hasan

The generalised balanced power diagram (GBPD) is regarded in the literature as a suitable geometric model for describing polycrystalline microstructures with curved grain boundaries. This article compiles properties of GBPDs with regard to…

Computation · Statistics 2026-01-27 Felix Ballani

We consider the problem of computing a binary linear transformation using unreliable components when all circuit components are unreliable. Two noise models of unreliable components are considered: probabilistic errors and permanent errors.…

Information Theory · Computer Science 2017-05-16 Yaoqing Yang , Pulkit Grover , Soummya Kar

The problem of a generalized type of $H_\infty$-control is investigated for a class of admissible descriptor systems with a non-zero initial vector. A generalized performance measure is used, which characterizes the weighted damping level…

Optimization and Control · Mathematics 2024-12-31 A. G. Mazko

Integrated energy systems (IES) are complex heterogeneous architectures that typically encompass power sources, hydrogen electrolyzers, energy storage, and heat exchangers. This integration is achieved through operating control strategy…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Paul Seurin , Auradha Annaswamy , Linyu Lin

Detecting symmetry is crucial for effective object grasping for several reasons. Recognizing symmetrical features or axes within an object helps in developing efficient grasp strategies, as grasping along these axes typically results in a…

Robotics · Computer Science 2026-02-10 Omar Tahri

The large penetration of distributed generations impacts both the secondary low-voltage (LV) and the primary medium-voltage (MV) segments of the distribution network. Optimizing power flow calculations for the integrated MV/LV networks is…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Abduljalil S. Aljadani , Firdous U. Nazir , Bikash C. Pal , Izudin Džafić , Rabih A. Jabr

This paper employs Geometric Algebra (GA) tools to model the dynamics of objects in 3-dimensional space, serving as a proof of concept to facilitate control design for trajectory tracking in underactuated systems. For control purposes, the…

Dimensionality reduction techniques are fundamental for analyzing and visualizing high-dimensional data. With established methods like t-SNE and PCA presenting a trade-off between representational power and interpretability. This paper…

Machine Learning · Computer Science 2025-04-25 Erik Bergh