9,951 research outputs found
Orthogonal learning particle swarm optimization
Particle swarm optimization (PSO) relies on its
learning strategy to guide its search direction. Traditionally,
each particle utilizes its historical best experience and its neighborhood’s
best experience through linear summation. Such a
learning strategy is easy to use, but is inefficient when searching
in complex problem spaces. Hence, designing learning strategies
that can utilize previous search information (experience) more
efficiently has become one of the most salient and active PSO
research topics. In this paper, we proposes an orthogonal learning
(OL) strategy for PSO to discover more useful information that
lies in the above two experiences via orthogonal experimental
design. We name this PSO as orthogonal learning particle swarm
optimization (OLPSO). The OL strategy can guide particles to
fly in better directions by constructing a much promising and
efficient exemplar. The OL strategy can be applied to PSO with
any topological structure. In this paper, it is applied to both global
and local versions of PSO, yielding the OLPSO-G and OLPSOL
algorithms, respectively. This new learning strategy and the
new algorithms are tested on a set of 16 benchmark functions, and
are compared with other PSO algorithms and some state of the
art evolutionary algorithms. The experimental results illustrate
the effectiveness and efficiency of the proposed learning strategy
and algorithms. The comparisons show that OLPSO significantly
improves the performance of PSO, offering faster global convergence,
higher solution quality, and stronger robustness
Perfect State Transfer in Laplacian Quantum Walk
For a graph and a related symmetric matrix , the continuous-time
quantum walk on relative to is defined as the unitary matrix , where varies over the reals. Perfect state transfer occurs
between vertices and at time if the -entry of
has unit magnitude. This paper studies quantum walks relative to graph
Laplacians. Some main observations include the following closure properties for
perfect state transfer:
(1) If a -vertex graph has perfect state transfer at time relative
to the Laplacian, then so does its complement if is an integer multiple
of . As a corollary, the double cone over any -vertex graph has
perfect state transfer relative to the Laplacian if and only if . This was previously known for a double cone over a clique (S. Bose,
A. Casaccino, S. Mancini, S. Severini, Int. J. Quant. Inf., 7:11, 2009).
(2) If a graph has perfect state transfer at time relative to the
normalized Laplacian, then so does the weak product if for any
normalized Laplacian eigenvalues of and of , we have
is an integer multiple of . As a corollary, a weak
product of with an even clique or an odd cube has perfect state
transfer relative to the normalized Laplacian. It was known earlier that a weak
product of a circulant with odd integer eigenvalues and an even cube or a
Cartesian power of has perfect state transfer relative to the adjacency
matrix.
As for negative results, no path with four vertices or more has antipodal
perfect state transfer relative to the normalized Laplacian. This almost
matches the state of affairs under the adjacency matrix (C. Godsil, Discrete
Math., 312:1, 2011).Comment: 26 pages, 5 figures, 1 tabl
Comprehensive control of proton exchange membrane fuel cell as backup power supply for UPS
To improve the performance of a proton exchange membrane fuel cell (PEMFC) stack, it is important to avoid the hydrogen and oxygen/air starvation of electrochemical reaction, prevent the dehydration and drying of the membrane, and track the output power. This paper conducts research in a comprehensive control strategy of the operation parameters of an uninterruptible power system (UPS) with backup PEMFC and battery power sources, such as the thermal management and control of operating temperature, pressures and mass flows of hydrogen and air for the PEMFC stack, switch of the power supply between PEMFC and battery for UPS, and the output power tracking of PEMFC. Based on the dynamic model of the anode and cathode flow system, the models of manifold and the performance curve, a detail model analysis is presented. A comprehensive control method is proposed and applied to the PEMFC system employed for the power source of UPS. The experimental results show that the comprehensive control method can effectively keep constant pressures of the inlet hydrogen and air, automatically switch the power supply between PEMFC and battery, reasonably improve the performance of the PEMFC through thermal management and control of operating temperature, and track the real-time changes of the output power and the distribution of the mass flows of hydrogen and oxygen/air
- …