• Title/Summary/Keyword: loop space

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ON FACTORIZATIONS OF THE SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES

  • Shi, Yi-Yun;Zhao, Hao
    • Journal of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.1089-1100
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    • 2008
  • For a pointed space X, the subgroups of self-homotopy equivalences $Aut_{\sharp}_N(X)$, $Aut_{\Omega}(X)$, $Aut_*(X)$ and $Aut_{\Sigma}(X)$ are considered, where $Aut_{\sharp}_N(X)$ is the group of all self-homotopy classes f of X such that $f_{\sharp}=id\;:\;{\pi_i}(X){\rightarrow}{\pi_i}(X)$ for all $i{\leq}N{\leq}{\infty}$, $Aut_{\Omega}(X)$ is the group of all the above f such that ${\Omega}f=id;\;Aut_*(X)$ is the group of all self-homotopy classes g of X such that $g_*=id\;:\;H_i(X){\rightarrow}H_i(X)$ for all $i{\leq}{\infty}$, $Aut_{\Sigma}(X)$ is the group of all the above g such that ${\Sigma}g=id$. We will prove that $Aut_{\Omega}(X_1{\times}\cdots{\times}X_n)$ has two factorizations similar to those of $Aut_{\sharp}_N(X_1{\times}\cdots{\times}\;X_n)$ in reference [10], and that $Aut_{\Sigma}(X_1{\vee}\cdots{\vee}X_n)$, $Aut_*(X_1{\vee}\cdots{\vee}X_n)$ also have factorizations being dual to the former two cases respectively.

The Development of Design Formulas for Pipe Loops Used in Large Vessels (I) (대형 선박의 파이프 루프 설계식 개발 (I))

  • Park, Chi-Mo;Yang, Park-Dal-Chi;Lee, Jong-Hoon
    • Journal of Ocean Engineering and Technology
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    • v.22 no.5
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    • pp.132-137
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    • 2008
  • Ship structures are subject to severe environmental loads causing appreciable hull girder bending which in turn affects the piping system attached to the main hull in the form of a displacement load. While this load may cause failure in the pipes, loops have been widely adopted as a means of preventing this failure, with the idea that they may lower the stress level in a pipe by absorbing some portion of the displacement load. But since such loops also have some negative effects, such as causing extra manufacturing cost, deteriorating the function of the pipe, and occupying extra space, the number and dimensions of the loops adopted need to be minimized. This research developed design formulas for pipe loops, modeling them as frames composed of beam elements, where not only bending but also shear deflection is taken into account. The accuracy of the proposed design formulas was verified by comparing two results respectively obtained by the proposed formulas and MSC/NASTRAN. The paper concludes with a sample example showing the efficiency of the proposed formulas.

Linearizing and Control of a Three-phase Photovoltaic System with Feedback Method and Intelligent Control in State-Space

  • Louzazni, Mohamed;Aroudam, Elhassan
    • Transactions on Electrical and Electronic Materials
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    • v.15 no.6
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    • pp.297-304
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    • 2014
  • Due to the nonlinearity and complexity of the three-phase photovoltaic inverter, we propose an intelligent control based on fuzzy logic and the classical proportional-integral-derivative. The feedback linearization method is applied to cancel the nonlinearities, and transform the dynamic system into a simple and linear subsystem. The system is transformed from abc frame to dq0 synchronous frame, to simplify the state feedback linearization law, and make the close-loop dynamics in the equivalent linear model. The controls improve the dynamic response, efficiency and stability of the three-phase photovoltaic grid system, under variable temperature, solar intensity, and load. The intelligent control of the nonlinear characteristic of the photovoltaic automatically varies the coefficients $K_p$, $K_i$, and $K_d$ under variable temperature and irradiation, and eliminates the oscillation. The simulation results show the advantages of the proposed intelligent control in terms of the correctness, stability, and maintenance of its response, which from many aspects is better than that of the PID controller.

The Characteristic Improvement of Inverter Output for Static UPS (UPS용 인버터 출력특성 개선)

  • Kim, D.U.;Kim, Y.P.;Shin, H.J.;Baek, B.S.;Ryu, S.P.;Min, B.G.
    • Proceedings of the KIEE Conference
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    • 1998.07f
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    • pp.2051-2053
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    • 1998
  • In spite of nonlinear or step-changing load and line disturbances, the inverter for the UPS must provide the pure sinusoidal output voltage with low THD(Total Harmonics Distortion). This paper proposes an inverter controller for the UPS which has a good dynamic response characteristic and robustness for applying industrial world directly. The inverter output voltage is controlled instantaneously with a double regulation loop by a TMS320C31 Digital Signal Processor so that it has very good dynamic response for nonlinear or step-changing load and line disturbances. To improve the voltage utilization and response characteristics, the Space Vector Modulation(SVM) technique is adapted for the switching method of this system. The characteristics of the proposed control system were verified by simulations and experiments.

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Fast-Transient Repetitive Control Strategy for a Three-phase LCL Filter-based Shunt Active Power Filter

  • Zeng, Zheng;Yang, Jia-Qiang;Chen, Shi-Lan;Huang, Jin
    • Journal of Power Electronics
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    • v.14 no.2
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    • pp.392-401
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    • 2014
  • A fast-transient repetitive control strategy for a three-phase shunt active power filter is presented in this study to improve dynamic performance without sacrificing steady-state accuracy. The proposed approach requires one-sixth of the fundamental period required by conventional repetitive control methods as the repetitive control time delay in the synchronous reference frames. Therefore, the proposed method allows the system to achieve a fast dynamic response, and the program occupies minimal storage space. A proportional-integral regulator is also added to the current control loop to eliminate arbitrary-order harmonics and ensure system stability under severe harmonic distortion conditions. The design process of the corrector in the fast-transient repetitive controller is also presented in detail. The LCL filter resonance problem is avoided by the appropriately designed corrector, which increases the margin of system stability and maintains the original compensation current tracking accuracy. Finally, experimental results are presented to verify the feasibility of the proposed strategy.

Position Control of Induction Motor using Variable Structure Vector Control (가변구조 벡터제어를 이용한 유도전동기의 위치제어)

  • Lee, Y.J.;Kim, H.J.;Son, Y.D.;Kwon, W.J.
    • Proceedings of the KIEE Conference
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    • 1992.07b
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    • pp.1218-1220
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    • 1992
  • This paper presents the three section sliding mode control algorithm based on variable structure current controller design in a synchronous frame and indirect field oriented control method, and applies it to the position control of induction motor. This control scheme solves the problem of robustness loss during the reaching phase that occurs in a conventional VSC strategy, and ensures the stable sliding mode and robustness enhancement throughout an entire response. As the performance of a VSI fed induction motor drives depends on the characteristics of inner loop current controller, it is desired that the current controller have the fast tracking and robust nature. Therefore, we introduced the voltage mapping table based on the concept of voltage space vector for variable structure current control, and implemented fully digital control system using 16-bit microcontroller with on-chip peripherals without additional processing circuits. Simulation and experimental results confirm the validity of this control scheme for robust AC servo drive system of VSI fed induction motor.

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Optimal Control and Robust Control of Rotating Shaft Using Magnetic Bearings (자기베어링을 이용한 회전축의 최적제어 및 강건제어)

  • Kang, Ho-Shik;Jeong, Namheul;Yoon, Il-Soung;Song, Ohseop
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.12
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    • pp.1330-1337
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    • 2004
  • In this study, the equations of motion of a rigid rotor supported by magnetic bearings are derived via Hamilton's principle, and transformed to a state-space form for control purpose. The optimal motion control of rotor magnetic bearing system based on the LQR(linear quadratic regulator) theory is addressed. New schemes related to the selection of the state weighting matrix Q and the control weighting matrix R involved in the quadratic functional to be minimized are proposed. And the robust control of the system with an LMI(linear matrix inequality) based H$_{\infty}$ theory is dealt with in this paper. Loop shapings of TFM (transfer function matrix) are used to increase the performance of control capability of the system. The control abilities of LQR and H$_{\infty}$ controller are compared by simulation and experimental tests and show that the capability of H$_{\infty}$ controller is superior to that of LQR.

Effect of Fabric Properties used for the Loop Type Decorative Elements on the 3-dimensional Shape

  • Ko, Youngmin;Kim, Jongjun
    • Journal of Fashion Business
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    • v.17 no.3
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    • pp.30-47
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    • 2013
  • In the modern fashion industry, efficiency has been increasing thanks to development of computer graphics, IT technology, and digitalization. Unlike the past when fashion design heavily depended on handwork, digitalization of fashion industry makes fabrication time shorter and enables designers to adopt comprehensive expression, generating high value-added product. The Apparel CAD, an example of the digitalized fashion industry, has been developed from 2D system into a system providing 3D simulation. Digital clothing can be determined as an activity of designers using the tool in order to fabricate pattern and simulate its designed clothes in the virtual space of computer. In this study, physical properties of eight materials, which can be utilized on a par with current fashion trend, have been specified. For more sophisticated investigation, external appearance of the material was investigated by 3D scanning. In order to examine the physical properties of fabric specimens, KES(Kawabata Evaluation System) measurements and other physical property measurements were made. With the results, virtual material and clothes were simulated via CLO 3D, one of 3D apparel CAD systems. Then, virtual fabrics and clothes of similar types were generated and analyzed.

A Speed Sensorless Induction Motor Control System using Direct Torque Control for Torque Ripple Reduction (직접 토크제어의 토크맥동 저감을 위한 속도검출기 없는 유도전동기 제어 시스템)

  • Kim, Nam-Hun;Kim, Min-Ho;Kim, Min-Huei;Kim, Dong-Hee;Hwang, Don-Ha
    • Proceedings of the KIEE Conference
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    • 2001.07b
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    • pp.986-988
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    • 2001
  • This paper presents a digitally speed sensorless control system for induction motor with direct torque control (DTC). Some drawbacks of the classical DTC are the relatively large torque ripple in a low speed range and notable current pulsation during steady state. They are reflected speed response and increased acoustical noise. In this paper, the DTC quick response are preserved at transient state, while better qualify steady state performance is produced by space vector modulation (SVM). The system are closed loop stator flux and torque observer for wide speed range that inputs are currents and voltages sensing of motor terminal, model reference adaptive control (MRAC) with rotor flux linkages for the speed fuming signal at low speed range, two hysteresis controllers and optimal switching look-up table. Simulation results of the suggest system for the 2.2 [kW] general purposed induction motor are presented and discussed.

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Capacitor Voltage Boosting and Balancing using a TLBC for Three-Level NPC Inverter Fed RDC-less PMSM Drives

  • Halder, Sukanta;Kotturu, Janardhana;Agarwal, Pramod;Srivastava, Satya Prakash
    • Journal of Power Electronics
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    • v.18 no.2
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    • pp.432-444
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    • 2018
  • This paper presents a capacitor voltage balancing topology using a three-level boost converter (TLBC) for a neutral point clamped (NPC) three-level inverter fed surface permanent magnet synchronous motor drive (SPMSM). It enhanced the performance of the drive in terms of its voltage THD and torque pulsation. The main attracting feature of the proposed control is the boosting of the input voltage and at the same time the balancing of the capacitor voltages. This control also reduces the computational complexity. For the purpose of close loop vector control, a software based cost effective resolver to digital converter RDC-less estimation is implemented to calculate the speed and position. The proposed drive is simulated in the MATLAB/SIMULINK environment and an experimental investigation using dSPACE DS1104 validates the proposed drive system at different operating condition.