
Jorge Humberto Urrea-QuinteroLeibniz Universität Hannover · Institute of Mechanics and Computational Mechanics
Jorge Humberto Urrea-Quintero
Doctor of Engineering
Discovering the complexity of the world through the lenses of mathematics.
About
22
Publications
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194
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Citations since 2017
Introduction
I am a researcher with a strong background in applied mathematics and computational methods in engineering. My current research interests are placed on contributing to answering the longstanding question of: how physics-based models can benefit from machine learning techniques to minimize models and real systems mismatches by accurately quantifying their uncertainty sources?
Additional affiliations
Education
January 2016 - December 2019
January 2014 - December 2015
January 2007 - September 2013
Publications
Publications (22)
Main objective of this paper is the optimal distribution of the fundamental non-efficient load current terms between the inverters —Energy Gateways (EGs)— connected in grid-tied microgrids (MGs). The main feature of the presented approach is the use of the EGs as controlled current sources that can compensate fundamental non-efficient load current...
This work presents an hp-adaptive variant of multi-element polynomial chaos expansion (ME-gPCE), referred to as anisotropic multi-element polynomial chaos expansion (AME-gPCE). The main advantage of the proposed framework is that the basis functions of the local gPCE are selected adaptively within each local element. The p-adaptivity allows the ord...
This work presents an hp-adaptive variant of multi-element polynomial chaos expansion (ME-gPCE), referred to as anisotropic multi-element polynomial chaos expansion (AME-gPCE). The main advantage of the proposed framework is that the basis functions of the local gPCE are selected adaptively within each local element. The p-adaptivity allows the ord...
Closed forms of stabilizing sets are generally only available for linearized systems. An innovative numerical strategy to estimate stabilizing sets of PI or PID controllers tackling (uncertain) nonlinear systems is proposed. The stability of the closed-loop system is characterized by the sign of the largest Lyapunov exponent (LLE). In this framewor...
Without a cure, vaccine, or proven long-term immunity against SARS-CoV-2, test-trace-and-isolate (TTI) strategies present a promising tool to contain its spread. For any TTI strategy, however, mitigation is challenged by pre- and asymptomatic transmission, TTI-avoiders, and undetected spreaders, which strongly contribute to ”hidden" infection chain...
This paper presents the robust control of Three-Leg Split-Capacitor Shunt Active Power Filters (TLSC SAPFs) by means of structured $H\infty$ controllers for reactive, unbalanced, and harmonic compensation and the DC-link bus voltage regulation. Robust controller synthesis is performed based on the TLSC SAPF dynamical model including power losses in...
Closed-forms of stabilizing sets are generally only available for linearized systems. An innovative numerical strategy to estimate stabilizing sets of PI or PID controllers tackling (uncertain) nonlinear systems is proposed. The stability of the closed-loop system is characterized by the sign of the largest Lyapunov exponent (LLE). In this framewor...
Without a cure, vaccine, or proven long-term immunity against SARS-CoV-2, test-trace-and-isolate (TTI) strategies present a promising tool to contain the viral spread. For any TTI strategy, however, a major challenge arises from pre- and asymptomatic transmission as well as TTI-avoiders, which contribute to hidden, unnoticed infection chains. In ou...
A multiscale modeling description of free-radical polymerization processes is presented. The polymerization process is described at the macroscale by coupling the Fokker-Planck Equation (FPE) for the particle size distribution (PSD) prediction at the mesoscale with a kinetic Monte Carlo (kMC) simulation at the microscale. The finite element method...
This work presents a framework for evaluating the controllability of multiscale systems based on a set-theoretic approach. Calculation of the Controllable Trajectories Set is the core of the set-theoretic approach. From a multi-scale perspective, such calculation is a computationally- intractable problem. Therefore, to overcome the intrinsic curse...
Free-radical emulsion polymerization is a heterogeneous process where simultaneous and competitive
physicochemical events occur over a wide range of time/length scales. Although a highly accurate representation of the process is possible by multiscale modeling, common approaches face several issues,
including the stochastic nature of finer scales,...
In control systems, the actual output is compared with the desired value so a corrective action maintains an established behavior. The industrial controller most widely used is the proportional integral derivative (PID). For PIDs, the process is represented in a transfer function. The linear quadratic regulator (LQR) controller needs a state space...
This paper deals with the DC-bus control problem for three-leg four-wires Shunt Active Power Compensators (SAPCs), based on the solution of a mathematical model. Starting with the SAPC concept a mathematical model with enough information to deduce the transfer function that describes the charging/discharging DC-bus process is proposed. A PI control...
PID stands for “proportional, integral, derivative” The PID controller is the most widely used industrial device for monitoring and controlling processes. Those three elements are the basics of a PID Controller. Each one performs a different task and has a different effect on the functioning of a system. The expected behavior of a system depends of...
The Proportional Integral Derivative (PID) controller is the most widely used industrial device to monitoring and controlling processes. There are numerous methods for estimating the controller parameters, in general, resolving particular cases. Current trends in parameter estimation minimize an integral performance criterion. Therefore, the calcul...
The Proportional Integral Derivative (PID) controller is the most widely used industrial device to monitoring and controlling processes. There are numerous methods for estimating the controller parameters, in general, resolving particular cases. Current trends in parameter estimation minimize an integral performance criterion. Therefore, the calcul...
The Proportional Integral Derivative controller is the most widely used industrial device for monitoring and controlling processes. Although there are alternatives to the traditional rules of tuning, there is not yet a study showing that the use of heuristic algorithms it is indeed better than using the classic methods of optimal tuning. Current tr...
Photovoltaic panels have become an important option for supplying electric energy demand, as they transform the energy coming from the sun into electric energy. One of the main goals of this kind of systems is to extract the maximum power from the panel. In this paper it is proposed to use the P&O algorithm working together with a PID controller; t...
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