• Title/Summary/Keyword: Energy stability

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Stability and Constant Boundary-Value Problems of f-Harmonic Maps with Potential

  • Kacimi, Bouazza;Cherif, Ahmed Mohammed
    • Kyungpook Mathematical Journal
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    • v.58 no.3
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    • pp.559-571
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    • 2018
  • In this paper, we give some results on the stability of f-harmonic maps with potential from or into spheres and any Riemannian manifold. We study the constant boundary-value problems of such maps defined on a specific Cartan-Hadamard manifolds, and obtain a Liouville-type theorem. It can also be applied to the static Landau-Lifshitz equations. We also prove a Liouville theorem for f-harmonic maps with finite f-energy or slowly divergent f-energy.

Optimal Design of Magnetically Levitated Flywheel Energy Storage System Based on System Stability Using Rigid-Body Model (강체모델 기반 시스템 안정성을 고려한 자기부상 플라이휠 에너지 저장장치의 최적 설계)

  • Kim, Jung-Wan;Yoo, Seong-Yeol;Bae, Yong-Chae;Noh, Myoung-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.3
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    • pp.283-289
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    • 2010
  • Owing to the increasing worldwide interest in green technology and renewable energy sources, flywheel energy storage systems (FESSs) are gaining importance as a viable alternative to traditional battery systems. Since the energy storage capacity of an FESS is proportional to the principal mass-moment of inertia and the square of the running speed, a design that maximizes the principal inertia while operatingrunning at the highest possible speed is important. However, the requirements for the stability of the system may impose a constraint on the optimal design. In this paper, an optimal design of an FESS that not only maximizes the energy capacity but also satisfies the requirements for system stability and reduces the sensitivity to external disturbances is proposed. Cross feedback control in combination with a conventional proportional-derivative (PD) controller is essential to reduce the effect of gyroscopic coupling and to increase the stored energy and the specific energy density.

Optimization Application for Assessment of Total Transfer Capability Using Transient Energy Function in Interconnection Systems (과도에너지 함수를 이용하여 연계계통의 총송전용량 평가를 위한 최적화기법 응용)

  • Kim, Kyu-Ho;Kim, Soo-Nam;Rhee, Sang-Bong;Lee, Sang-Keun;Song, Kyung-Bin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.12
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    • pp.2311-2315
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    • 2009
  • This paper presents a method to apply energy margin for assesment of total transfer capability (TTC). In order to calculate energy margin, two values of the transient energy function have to be computed. The first value is transient energy that is the sum of kinetic and potential energy at the end of fault. The second is critical energy that is potential energy at controlling UEP(Unstable Equilibrium Point). It is seen that TTC level is determined by not only bus voltage magnitudes and line thermal limits but also transient stability. TTC assessment is compared by the repeated power flow(RPF) method and optimization method.

Study on Thermal Stability of Ni-P-Fe and Ni-P-B Layers Electroplated on Alloy 600 (Alloy 600에 전기 도금한 Ni-P-Fe 및 Ni-P-B 층의 열적 안정성 연구)

  • Kim, Myong-Jin;Kim, Joung-Soo;Kim, Dong-Jin;Kim, Hong-Pyo
    • Journal of the Korean institute of surface engineering
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    • v.43 no.2
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    • pp.57-63
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    • 2010
  • In this study, thermal stability of the mechanical properties of Ni-P-B and Ni-P-Fe layers electroplated on Alloy 600 material was evaluated by measuring their microhardness, tensile strength, and elongation after heat treatment at $325^{\circ}C$ and $400^{\circ}C$. According to the results, there was no noticeable change in microhardness of the two electrodeposits before and after heat treatment at the temperatures for 30 days. In the case of a Ni-P-B electrodeposit, ultimate tensile strength (UTS) slightly increases with heat treatment time, while its elongation decreases, showing good thermal stability in the mechanical properties at high temperature. On the other hand, UTS and elongation of Ni-P-Fe decrease with heat treatment time, which is very unusual observation. This result was attributed to the bad microstructure of Ni-P-Fe having many defects in the deposit formed early stage of an electroplating process and their redistribution to link to become large ones during heat treatment.

Mesoporous SiO2 Mediated Polybenzimidazole Composite Membranes for HT-PEMFC Application (고온 PEMFC 응용을 위한 다공성 SiO2 기반 폴리벤즈이미다졸 복합막)

  • HAN, DAEUN;YOO, DONG JIN
    • Transactions of the Korean hydrogen and new energy society
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    • v.30 no.2
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    • pp.128-135
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    • 2019
  • In this study, the mesoporous $SiO_2$ (5, 10, or 15 wt%) was incorporated into the polybenzimidazole matrix in order to improve the proton conduction as well as physiochemical properties of composite membrane. The chemical structure of mesoporous $SiO_2$ and crystallinity of as-prepared membranes were analyzed by Fourier-transform infrared (FT-IR) spectroscopy and X-ray diffraction (XRD) analysis, respectively. The thermal stability of the pristine $X_1Y_9$ and composite membranes were evaluated by thermogravimetric analyzer (TGA). On other side, the physical and chemical properties of the pristine $X_1Y_9$ and composite membranes were also determined by acid uptake and oxidative stability tests, respectively. With the incorporation of 15 wt% $SiO_2$, the composite membrane exhibits the higher proton conductivity that may be applicable for non-humidified high temperature fuel cell applications.

Generation Rescheduling Priority using Transient Energy Margin Sensitivity (과도에너지 마진의 감도를 이용한 발전력 재배분의 Priority)

  • Kim, Kyu-Ho;Kim, Soo-Nam;Rhee, Sang-Bong;Song, Kyung-Bin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.6
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    • pp.1086-1090
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    • 2011
  • This paper presents a method to evaluate generation rescheduling priority using transient energy margin sensitivity for power system operation. A change in any of the functional parameters obviously causes a change in the energy margin. Especially the energy margin sensitivity is evaluated for change with respect to generation. For a given contingency, the energy margin is computed and the respective sensitivities are also computed. It is possible to rank the sensitivities and thereby determine the generators which will affect the energy margin most and hence affect the stability (instability) of the system. The sign of the sensitivity indicates the direction of change in generation for a given change in energy margin.

A Study on The Available Transfer Capability(ATC) with Transient Stability Constraints (과도 안정도를 고려한 가용송전용량(ATC) 계산에 관한 연구)

  • Kim, Yang-Il;Jeong, Sung-Won;Gim, Jae-Hyeon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.3
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    • pp.437-443
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    • 2009
  • In recent years, electric power systems have been experiencing a rapid change due to the increasing electricity market. For the effective use of power system under the deregulated environment, it is important to make a fast and accurate calculation of the maximum available transfer capability (ATC) from a supply point to a demand point. In this paper, the purpose of this research is to calculate ATC fast and accurately for securing the stability of system and raising the efficiency as a result of anticipating transmission congestion according to transmission open access progressed in the future under the regulated environment of electricity market. In this paper, a study utilized a relation of the potential energy and energy function by which calculated CCT and then utilized a relation of PEBS for transient stability ATC calculation. In this paper, ATC was calculated as RPF and Energy Function method and calculation results of each method was compared. Contingence ranking method decided the weak bus by the Eigenvalues of Jacobian matrix and overloading branches by PI-index. As a result, a study proved the fast and accurate ATC calculation method considering transient stability suggested in this paper. Through the case study using New England 39 bus system, it is confirmed that the proposed method can be used for real time operation and the planning of electric market.