This paper proposes a kind of optimization software for
substation operation mode, which can not only read data on-line from EMS, but also calculate total loss of substations in
parallel operation, split operation or individual operation mode. It can also
select the most optimized way and feed the conclusion back to EMS
to make substations operate in the most optimized way. The software is suitable
for optimization of substation in rural power grid.

Abstract:
A new converter with spherical cap for energy scavenging is proposed. Based on the method of separated variables within the torrid coordinate system, a corresponding analytical model for spherical cap converter is further established so as to obtain the analytic expressions of the topology capacitance and the output voltage. The concept of energy increment factor is specifically defined to denote the improvement of energy storage efficiency. With regard to spherical cap converters of different dimensions, the measured values of energy increment factor coincide well with the theoretical equivalents, indicating an effective verification of the proposed analytical model for the spherical cap converter topology.

A static security assessment approach considering
electro-thermal coupling of transmission lines is proposed in this paper.
Combined with the dynamic thermal rating technology and energy forecasting, the
approach can track both the electrical variables and transmission lines’
temperature varying trajectory under anticipated contingencies. Accordingly, it
identifies the serious contingencies by transmission lines’ temperature
violation rather than its power flow, in this case the time margin of
temperature rising under each serious contingency can be provided to operators
as warning information and some unnecessary security control can also be
avoided. Finally, numerical simulations are carried out to testify the validity
of the proposed approach.

Abstract:
A new gas-liquid-solid circulating fluidized bed photocatalytic reactor (GLSCFBPR) with internally placed multi-layered UV lamps was developed. Micrometer Gd-TiO2 particles and commercial nanometer P25-TiO2 were chosen as the photocatalysts, and the hazardous substance bisphenol A (BPA) was chosen as the model pollutant to investigate the performance of this new photocatalytic system. The results showed that the photocatalytic degradation efficiency of the micrometer Gd-TiO2 particles was similar to that of the nanometer P-25 particles at their respective optimum dosage but the former could be easily separated out by gravity. After investigating the effects of process parameters on the photocatalytic BPA degradation, the response surface method (RSM) was further used for process optimization. The interactions among process parameters, i.e., TiO2 concentration, superficial gas velocity and superficial liquid velocity were discovered and a related analysis was carried out to explore the underlying mechanism. A quadratic mathematic model was established and performed satisfactorily when used for prediction. The optimum conditions for this new process were as follows: TiO2 concentration 4.5 g/L, superficial gas velocity 7.83 × 10-3 m/sec and superficial liquid velocity 8.65 × 10-3 m/sec.

Abstract:
In this paper we develop the continuous averaging method of Treschev to work on the simultaneous Diophantine approximation and apply the result to give a new proof of the Nekhoroshev theorem. We obtain a sharp normal form theorem and an explicit estimate of the stability constants appearing in the Nekhoroshev theorem.

Abstract:
This paper constructs a certain planar four-body problem which exhibits fast energy growth. The system considered is a quasi-periodic perturbation of the Restricted Planar Circular three-body Problem (RPC3BP). Gelfreich-Turaev's and de la Llave's mechanism is employed to obtain the fast energy growth. The diffusion is created by a heteroclinic cycle formed by two Lyapunov periodic orbits surrounding $L_1$ and $L_2$ Lagrangian points and their heteroclinic intersections. Our model is the first known example in celestial mechanics of the a priori chaotic case of Arnold diffusion.

Abstract:
In this paper, we show that there is a Cantor set of initial conditions in a planar four-body problem such that all the four bodies escape to infinity in finite time avoiding collisions. This proves the Painlev\'e conjecture for the four-body case, thus settles the conjecture completely.

Abstract:
In this paper, we show the existence of non contractible periodic orbits in Hamiltonian systems defined on $T^*\T^n$ separating two Lagrangian tori under certain cone assumption. Our result answers a question of Polterovich in \cite{P} in a sharp way. As an application, we find periodic orbits of almost all the homotopy types on a dense set of energy level in Lorentzian type mechanical Hamiltonian systems defined on $T^*\T^2$. This solves a problem of Arnold in \cite{A}.

Abstract:
Through artificial water control in the shed of rain-free, this paper studied the physiological water requirement patterns of 2-3 years old Platycladus orientalis and Robinia pseudoacacia trees during their growth period, and the relationships between their transpiration water consumption and soil water supply. The results showed that the transpiration water consumption of Robinia pseudoacacia was increased with increasing soil water supply within the range of 40%-100% of field water-holding capacity. Its maximum transpiration water consumption was at the early and accelerating growth stages, accounted for 80.5% of total annual water consumption. The transpiration water consumption of Robinia pseudoacacia was 5.13 times as much as that of Platycladus orientalis. Platycladus orientalis had a peak value of transpiration water consumption when the soil moisture content was 40%-100% of field water-holding capacity. Its transpiration water consumption was the maximum at accelerating growth stage, accounted for 46.27% of total annual water consumption, next at later growth stage, and relatively small at early growth stage. The correction functions of transpiration water consumption to soil water supply and the time-soil moisture functions of practical transpiration water consumption under insufficient water supply for two test species were put forward for the first time.

Abstract:
In this paper, we study a model of simplified four-body problem called planar two-center-two-body problem. In the plane, we have two fixed centers $Q_1=(-\chi,0)$, $Q_2=(0,0)$ of masses 1, and two moving bodies $Q_3$ and $Q_4$ of masses $\mu\ll 1$. They interact via Newtonian potential. $Q_3$ is captured by $Q_2$, and $Q_4$ travels back and forth between two centers. Based on a model of Gerver, we prove that there is a Cantor set of initial conditions which lead to solutions of the Hamiltonian system whose velocities are accelerated to infinity within finite time avoiding all early collisions. We consider this model as a simplified model for the planar four-body problem case of the Painlev\'{e} conjecture.