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2025 IEEE PES Grid Edge Technologies Conference and Exposition, Grid Edge 2025

作者： Bhattacharjee, Kaustav Kundu, Soumya Chakraborty, Indrasis Dasgupta, Aritra New Jersey Institute of Technology Department of Data Science United States Pacific Northwest National Laboratory Optimization and Control Group United States Lawrence Livermore National Laboratory Center for Applied Scientific Computing United States

ISBN: (纸本)9798350352528

Net load forecasting is crucial for energy planning and facilitating informed decision-making regarding trade and load distributions. However, evaluating forecasting models' performance against benchmark models remains challenging, thereby impeding experts' trust in the model's performance. In this context, there is a demand for technological interventions that allow scientists to compare models across various timeframes and solar penetration levels. This paper introduces a visual analytics-based application designed to compare the performance of deep-learning-based net load forecasting models with other models for probabilistic net load forecasting. This application employs carefully selected visual analytic interventions, enabling users to discern differences in model performance across different solar penetration levels, dataset resolutions, and hours of the day over multiple months. We also present observations made using our application through a case study, demonstrating the effectiveness of visualizations in aiding scientists in making informed decisions and enhancing trust in net load forecasting models. © 2025 IEEE.

关键词： AI/ML net load forecasting visual analytics

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Who Should I Trust? A Visual Analytics Approach for Comparing Net Load Forecasting Models

Who Should I Trust? A Visual Analytics Approach for Comparin...

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Grid Edge Technologies Conference & Exposition (Grid Edge), IEEE PES

作者： Kaustav Bhattacharjee Soumya Kundu Indrasis Chakraborty Aritra Dasgupta Department of Data Science New Jersey Institute of Technology USA Optimization and Control Group Pacific Northwest National Laboratory USA Center for Applied Scientific Computing Lawrence Livermore National Laboratory USA

ISBN: (数字)9798350352528

ISBN: (纸本)9798350352535

关键词： Analytical models Load forecasting Biological system modeling Visual analytics Decision making Predictive models Data models Planning Forecasting Load modeling

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Algebraic multigrid methods based on element preconditioning

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INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2001年第4期78卷 575-598页

作者： Haase, G Langer, U Reitzinger, S Schöberl, J Institute for Analysis and Computational Mathematics Department of Computational Mathematics and Optimization Special Research Program (SFB) F013 Numerical and Symbolic Scientific Computing

This paper presents a new algebraic multigrid (AMG) solution strategy for large linear systems with a sparse matrix arising from a finite element discretization of some self-adjoint, second order, scalar, elliptic partial differential equation. The AMG solver is based on Ruge/Stuben's method. Ruge/Stuben's algorithm is robust for M-matrices, but unfortunately the "region of robustness" between symmetric positive definite M-matrices and general symmetric positive definite matrices is very fuzzy. For this reason the so-called element preconditioning technique is introduced in this paper. This technique aims at the construction of an M-matrix that is spectrally equivalent to the original stiffness matrix. This is done by solving small restricted optimization problems. AMG applied to the spectrally equivalent M-matrix instead of the original stiffness matrix is then used as a preconditioner in the conjugate gradient method for solving the original problem. The numerical experiments show the efficiency and the robustness of the new preconditioning method for a wide class of problems including problems with anisotropic elements.

关键词： finite element equations algebraic multigrid element preconditioning technique preconditioned conjugate gradient method

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Towards Discrete Mechanics and Optimal Control for Complex Models

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IFAC-PapersOnLine 2017年第1期50卷 4812-4818页

作者： Manns P. Mombaur K. Interdisciplinary Center for Scientific Computing Heidelberg University Heidelberg 69120 Germany Now at Institute for Mathematical Optimization Technische Universität Braunschweig Braunschweig 38106 Germany

Methods for trajectory optimization originate from the need to solve spaceflight mechanics problems beginning in the 1950s and 1960s. The rise of digital compute power popularized so-called direct methods from the 1980s onwards. Since the 1990s, these methods have been used extensively in various fields like robotics and chemical reaction kinetics. Discrete Mechanics and Optimal Control (DMOC) is a relatively new but not very widespread method that offers nice mathematical properties. It has mostly been applied to small mechanical problems so far. We show that the method can offer competitive performance when being used on more complex models like a 2D human model. Furthermore, we point out that the method can take advantage of parallel compute architectures nicely. It relies on a variational principle and temporal discretization that lead to a sparse constraint Jacobian that scales well. © 2017

关键词： Nonlinear control nonlinear programming optimal control optimal trajectory parallel computation

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Postbuckling behaviour and design of laminated composite structures using reissner-mindlin-von kármán type plate model

Postbuckling behaviour and design of laminated composite str...

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Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and optimization Conference

作者： Kere, Petri Lyly, Mikko Koski, Juhani Tampere University of Technology Institute of Applied Mechanics and Optimization P.O. Box 589 FIN-33101 Tampere Finland Center for Scientific Computing P.O. Box 405 FIN-02101 Espoo Finland Center for Scientific Computing Finland Tampere University of Technology Institute of Applied Mechanics and Optimization Finland

ISBN: (纸本)1563477165

Minimum weight design of laminated composite structures for maximum failure margin and structural stability is considered. The structural design problem is formulated as a constrained multi-criteria optimization problem where the failure margin of a critical point in the FE-model and the critical buckling load factor are selected as criteria of the vector objective function. To find out the nonlinear mechanical response of the structure the potential energy functional where the linearized strain tensor has been replaced by nonlinear functions, i.e., the Von Kármán model for large deformation, is formulated. In the FE-implementation linear triangular elements are used. The transverse shear strains are discretized by the stabilized MITC-technique of Brezzi, Fortin, and Stenberg. The normal rotation ("drilling rotation") is introduced as an auxiliary function and discretized by the stabilized method of Hughes and Brezzi. The constrained optimization problem is transferred into a sequence of unconstrained problems and solved iteratively by the achievement function approach of Wierzbicki. The actual load-displacement behaviour of a subset of the Pareto optimal structures as well as the failure prediction and the identification of the critical areas of the FE-model are determined and illustrated with a numerical example. Copyright © 2004 by the American institute of Aeronautics and Astronautics, Inc. All rights reserved.

关键词： Composite structures

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Structure-exploiting polynomial chaos for uncertain optimal control problems with sparse derivative generation

Structure-exploiting polynomial chaos for uncertain optimal ...

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88th Annual Meeting on the International Association of Applied Mathematics and Mechanics, GAMM 2017

作者： Bergner, Lilli Kirches, Christian Interdisciplinary Center for Scientific Computing Heidelberg University Heidelberg Germany Institute for Mathematical Optimization Technische Universität Braunschweig Braunschweig Germany

We present advances in structure-exploiting non-intrusive polynomial chaos methods for the numerical solution of nonlinear optimal control problems with parametric uncertainties. In particular, we make use of the special structure induced by the spectral projection to reuse model derivatives and exploit sparsity information leading to a fast automatic sensitivity generation. This greatly reduces the computational effort of Newton-type methods for the solution of the resulting high-dimensional surrogate problem. The results are complemented by a complexity comparison and a numerical case study. © 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.

关键词： Numerical methods

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Mixed-level iteration schemes for nonlinear model predictive control

Mixed-level iteration schemes for nonlinear model predictive...

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4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12

作者： Frasch, Janick V. Wirsching, Leonard Sager, Sebastian Bock, Hans Georg Interdisciplinary Center for Scientific Computing Heidelberg University Heidelberg Germany Faculty of Mathematics Institute for Mathematical Optimization Otto Von Guericke University Magdeburg Magdeburg Germany

ISBN: (纸本)9783902823076

In general, numerical schemes for nonlinear model predictive control (NMPC) require the (approximate) solution of a nonlinear program in each sample for feedback generation. Thus, the application of NMPC to processes that need fast feedback poses a major computational challenge. Recently, new multi-level iteration schemes have been proposed, extending the well{ known idea of real{time iterations. These algorithms take into account different time scales inherent in the dynamic model by updating the data of the feedback{generating quadratic program (QP), i.e., Hessians and Jacobians, gradients, and constraint residuals, on different levels. In this contribution we consider new mixed-level updates of the QP data, which interval{ wise apply different update levels. In particular, we apply higher-level updates more frequently on the first intervals of the control horizon, given their importance in the context of model predictive control in general. Targeting at modern computers with multi{core processing units, we describe an efficient parallel implementation of the mixed-level iteration approach and apply it to a benchmark problem from automotive engineering. © 2012 IFAC.

关键词： Model predictive control

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Design optimization of laminated composite structures involving geometric nonlinearities with achievement scalarizing function approach

Design optimization of laminated composite structures involv...

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46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

作者： Kere, Petri Lyly, Mikko Tampere University of Technology Institute of Applied Mechanics and Optimization P.O. Box 589 FIN-33101 Tampere Finland Center for Scientific Computing P.O. Box 405 FIN-02101 Espoo Finland Center for Scientific Computing Finland AIAA United States

A bicriteria structural optimization problem, where computing mappings from the design space into the criterion space requires solving nonlinear plate bending equations, is considered. Since the calculations of the mappings are independent of each other, the mappings can be easily evaluated in parallel and they can be effectively solved using loosely coupled computer clusters or computing grids. In this work, the mappings are computed using the grid computing platform, computation being controlled by the local optimizer employing the scalarizing achievement function method of Wierzbicki. Modeling the laminated composite structure is based on a facet approximation of the midsurface and a Reissner-Mindlin-Von Kármán type plate equations. The potential energy functional where the linearized strain tensor has been replaced by the nonlinear functions, i.e., the Von Kármán model for large deformation has been formulated. The differential equilibrium equations of the energy minimization problem are obtained using standard variational calculus and integration by parts. In the computations these non-linear equations are solved iteratively by Riks' method with Crisfield's elliptical constraint for arc length. The linearized equations are then discretized by the finite element method. In the postbuckling region the algorithm follows the principal equilibrium path with the minimal stiffness. The minimum weight solutions for minimizing the maximum displacement of the FE solution and maximizing the laminate FPF margin are searched. The design variables are the number of layers and a discrete set of allowable angles for layer orientations. optimization is carried out using a deterministic search process, where the lay-up configurations are generated iteratively in the design space from the selected design points of the population at the preceding cycle. Selection of the design points is based on the reference objectives defining the aspiration levels for the criteria. Proceeding o

关键词： Laminated composites

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Joint torque analysis of push recovery motions during human walking 6

Joint torque analysis of push recovery motions during human ...

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6th IEEE RAS/EMBS International Conference on Biomedical Robotics and Biomechatronics, BioRob 2016

作者： Schemschat, R. Malin Clever, Debora Felis, Martin L. Chiovetto, Enrico Giese, Martin Mombaur, Katja Optimization in Robotics and Biomechanics Interdisciplinary Center for Scientific Computing Heidelberg University Germany Section for Computational Sensomotorics Department of Cognitive Neurology Hertie Institute for Clinical Brain Research Tübingen Germany

ISBN: (纸本)9781509032877

Most of their lifetime humans can recover from disturbances during walking motions very well. Our assumption is that to recover from disturbances during walking requires higher internal torques in the joints than motions without disturbances. To measure the internal joint torques in experiments is complicated and expensive. In this work we propose an optimality based simulation environment that allows to determine the internal torques in the joints of a human during disturbed walking motions. The human is represented by a two dimensional (2D) rigid multi-body model consisting of 14 segments controlled by torques in 13 rotational joints resulting in 16 degrees of freedom (DoF). The disturbance is modeled as external force acting on the model. A least-squares optimal control problem that minimizes the distance between the joint angles of the model and joint angles gained from motion capture experiments, while satisfying the dynamics and constraints of the human model, is set up. The analysis of perturbed and unperturbed walking motions shows that the torques in the joints vary according to the strength and duration of the disturbance. The calculation of the internal joint torques is important for the development of new control strategies or set up of humanoid robots and prostheses. It can also be used in the context of sport sciences to improve training or therapies. © 2016 IEEE.

关键词： Optimal control systems

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Hydraulic Simulation of Water Supply Networks under Control

Hydraulic Simulation of Water Supply Networks under Control

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2005 World Water and Environmental Resources Congress

作者： Deuerlein, J. Cembrowicz, R.G. Dempe, S. Kaiserstr. 12 D-76131 Karlsruhe Institute for Scientific Computing and Optimization Department of Mathematics and Computer Science Technical University Bergakademie Freiberg Leipziger Str. 28 D-09596 Freiberg

ISBN: (纸本)0784407924

The objectives of simulating the hydraulic behavior of a water supply network, being either real or planned, focus upon identifying flow, pressure and velocities, following time variant system's operation or the propagation of water quality in the network, supporting leak detection, verifying the hydraulic impact of different system's elements, guiding gauging and calibration. Existing simulation models represented by available software show different capacities regarding control devices, including pressure control valves, pressure sustaining valves, flow control valves, check valves, speed regulated pumps - operated combined and simultaneously where convergence may not be obtained. Since a rigorous mathematical approach is lacking the system's behavior is presently treated heuristically without guarantee of success. Consequently a new mathematical approach has been derived and is presented here. First, the hydraulic simulation is conceived as optimization of the system's 'Content' and 'Co-Content' functions. Second, regarding flow control devices, Convex Analysis is utilized to allow a generalization of the hydraulic equations of system's elements in the form of subdifferential mappings leading to Kuhn-Tucker conditions, amenable to solution. Third, regarding pressure control devices, the definition of a Nash Equilibrium, according to Game Theory, between the 'Co-Content' and additional minimizing problems, describing the system behavior of the devices, also leads to a solution. Hence, arbitrary flow and pressure controlling devices can now be incorporated in water supply network simulation. Convergence is assured if the system's physics are feasible. The approach has been implemented as part of the water supply network simulation & optimization model KANET. Copyright ASCE 2005.

关键词： Water supply systems

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