169 research outputs found
Monte Carlo simulations of the classical two-dimensional discrete frustrated model
The classical two-dimensional discrete frustrated model is studied
by Monte Carlo simulations. The correlation function is obtained for two values
of a parameter that determines the frustration in the model. The ground
state is a ferro-phase for and a commensurate phase with period N=6
for . Mean field predicts that at higher temperature the system enters
a para-phase via an incommensurate state, in both cases. Monte Carlo data for
show two phase transitions with a floating-incommensurate phase
between them. The phase transition at higher temperature is of the
Kosterlitz-Thouless type. Analysis of the data for shows only a
single phase transition between the floating-fluid phase and the ferro-phase
within the numerical error.Comment: 5 figures, submitted to the European Physical Journal
Mixed integer nonlinear programming for Joint Coordination of Plug-in Electrical Vehicles Charging and Smart Grid Operations
The problem of joint coordination of plug-in electric vehicles (PEVs)
charging and grid power control is to minimize both PEVs charging cost and
energy generation cost while meeting both residential and PEVs' power demands
and suppressing the potential impact of PEVs integration. A bang-bang PEV
charging strategy is adopted to exploit its simple online implementation, which
requires computation of a mixed integer nonlinear programming problem (MINP) in
binary variables of the PEV charging strategy and continuous variables of the
grid voltages. A new solver for this MINP is proposed. Its efficiency is shown
by numerical simulations.Comment: arXiv admin note: substantial text overlap with arXiv:1802.0445
Correlated adatom trimer on metal surface: A continuous time quantum Monte Carlo study
The problem of three interacting Kondo impurities is solved within a
numerically exact continuous time quantum Monte Carlo scheme. A suppression of
the Kondo resonance by interatomic exchange interactions for different cluster
geometries is investigated. It is shown that a drastic difference between the
Heisenberg and Ising cases appears for antiferromagnetically coupled adatoms.
The effects of magnetic frustrations in the adatom trimer are investigated, and
possible connections with available experimental data are discussed.Comment: 4 pages, 4 figure
Model Predictive Control for Smart Grids with Multiple Electric-Vehicle Charging Stations
Next-generation power grids will likely enable concurrent service for
residences and plug-in electric vehicles (PEVs). While the residence power
demand profile is known and thus can be considered inelastic, the PEVs' power
demand is only known after random PEVs' arrivals. PEV charging scheduling aims
at minimizing the potential impact of the massive integration of PEVs into
power grids to save service costs to customers while power control aims at
minimizing the cost of power generation subject to operating constraints and
meeting demand. The present paper develops a model predictive control (MPC)-
based approach to address the joint PEV charging scheduling and power control
to minimize both PEV charging cost and energy generation cost in meeting both
residence and PEV power demands. Unlike in related works, no assumptions are
made about the probability distribution of PEVs' arrivals, the known PEVs'
future demand, or the unlimited charging capacity of PEVs. The proposed
approach is shown to achieve a globally optimal solution. Numerical results for
IEEE benchmark power grids serving Tesla Model S PEVs show the merit of this
approach
Continuous Time Quantum Monte Carlo method for fermions
We present numerically exact continuous-time Quantum Monte Carlo algorithm
for fermions with a general non-local in space-time interaction. The new
determinantal grand-canonical scheme is based on a stochastic series expansion
for the partition function in the interaction representation. The method is
particularly applicable for multi-band time-dependent correlations since it
does not invoke the Hubbard-Stratonovich transformation. The test calculations
for exactly solvable models as well results for the Green function and for the
time-dependent susceptibility of the multi-band super-symmetric model with a
spin-flip interaction are discussed.Comment: 10 pages, 7 Figure
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