A New FEM-BEM Coupling for the 2-D Laplace Problem

peer reviewedA new hybrid finite element method-boundary element method (FEM-BEM) scheme is proposed for the solution of the nonlinear 2-D Laplace problem. The novelty is an original approach of the BEM where the domain integrals are eliminated at the discrete level by using the FEM approximation of the fundamental solution at every node of the related mesh in the linear regions. The implementation of this FEM-Green approach requires less computational burden than the standard BEM. The coupling with FEM is straightforward and appears to be more natural. The validity of the method is examined through numerical examples

Impact of Real Case Transmission Systems Constraints on Wind Power Operation

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Estimating the Photovoltaic Hosting Capacity of a Low Voltage Feeder Using Smart Meters’ Measurements

Maximizing the share of renewable resources in the electric energy supply is a major challenge in the design of the future energy system. Regarding the low voltage (LV) level, the main focus is on the integration of distributed photovoltaic (PV) generation. Nowadays, the lack of monitoring and visibility, combined with the uncoordinated integration of distributed generation, often leads system operators to an impasse. As a matter of fact, the numerous dispersed PV units cause distinct power quality and cost-efficiency problems that restrain the further integration of PV units. The PV hosting capacity is a tool for addressing such power system performance and profitability issues so that the different stakeholders can discuss on a common ground. Photovoltaic hosting capacity of a feeder is the maximum amount of PV generation that can be connected to it without resulting in unacceptable power quality. This chapter demonstrates the usefulness of smart metering (SM) data in determining the maximum PV hosting capacity of an LV distribution feeder. Basically, the chapter introduces a probabilistic tool that estimates PV hosting capacity by using customer-specific energy flow data, recorded by SM devices. The probabilistic evaluation and the use of historical SM data yield a reliable estimation that considers the volatile character of distributed generation and loads as well as technical constraints of the network (voltage magnitude, phase unbalance, congestion risk). As a case study, an existing LV feeder in Belgium is analysed. The feeder is located in an area with high PV penetration and large deployment of SM devices

Parallel MR-BEM using ScaLAPACK

peer reviewedThe multiple reciprocity method is a recent generalisation of the well-known Boundary Element Method. It allows the numerical analysis of Poisson's problem in an efficient and elegant manner since it converts the classical domain integral coming from excitation to a summation of boundary ones. However, the method leads to the computation of higher order kernels so that the assembly of the linear systems is significantly increased. In this paper, it is shown that parallel computing allows a substantial reduction in CPU time. Different data distribution strategies have been implemented and compared using standard ScaLAPACK computational kernel. Tests have been successfully run on a 24-processor Intel Paragon

Application and Comparison of Wind Speed Sampling Methods for Wind Generation in Reliability Studies Using Non Sequential Monte Carlo Simulations

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Simulation of Positive Corona Discharge in Atmospheric-pressure Air by Plasma Hydrodynamic Model

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