• Title/Summary/Keyword: Polar Coordinates

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The analysis on centrifugal compressor rotating stall (원심압축기의 선회실속 분석)

  • Kim, Ji-Hwan;Kim, Kwang-Ho;Shin, You-Hwan
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.834-839
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    • 2003
  • In the present study, the performance characteristics and the number of stall cells during rotating stall of a centrifugal air compressor were experimentally investigated. If the flow coefficient is lower than 0.150, the static pressure at impeller inlet is higher than that at inlet duct And reverse flow is observed under these flow coefficient region. Maximum adiabatic efficiency is obtained for the tested compressor around flow coefficient 0.128, and it is independent of compressor rotating speed. The number of stall cells and their rotational speeds are distinctive features of the rotating stall phenomenon. The present study is mainly concerned with the number of stall cells and their rotational speeds. The interpretation method of visualization is based on the pressure distribution in the circumference pressure fields while plotting the pressure and its harmonics variations in time in polar coordinates.

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A Test for Spherical Symmetry (구형 대칭성 검정에 대한 연구)

  • Park Cheolyong
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.99-113
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    • 2005
  • In this article, we propose a chi-squared test of spherical symmetry. The advantage of this test is that the test statistic and its asymptotic p-value are easy to compute. The limiting distribution of the test statistic is derived under spherical symmetry and its accuracy, in finite samples, is studied via simulation. Also, a simulation study is conducted in which the power of our test is compared with those of other tests for spherical symmetry in various alternative distributions. Finally, an illustrative example of application to a real data is provided.

In-plane Free Vibration Analysis of Parabolic Arches with Hollow Section (중공단면을 갖는 포물선형 아치의 면내 자유진동 해석)

  • Lee, Tae-Eun;Lee, Byoung-Koo;Lee, Jae-Young;Yoon, Hee-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.2
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    • pp.215-223
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    • 2008
  • The differential equations governing free vibrations of the elastic arches with hollow section are derived in polar coordinates, in which the effect of rotatory inertia is included. Natural frequencies is computed numerically for parabolic arches with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and reference are made to validate theories and numerical methods developed herein. The lowest four natural frequency parameters are reported, with the rotatory inertia, as functions of three non-dimensional system parameters: the breadth ratio, the thickness ratio and the rise to span length ratio.

A sectorial element based on Reissner plate theory

  • Akoz, A. Yalcin;Eratli, Nihal
    • Structural Engineering and Mechanics
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    • v.9 no.6
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    • pp.519-540
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    • 2000
  • In this study, a new functional based on the Reissner theory, for thick plates on a Winkler foundation is obtained. This functional has geometric and dynamic boundary conditions. In deriving the new functional, the $G{\hat{a}}teaux$ differential is used. This functional which is in polar coordinates is also transformable into the classical potential energy equation. Bending and torsional moments, transverse shear forces, rotations and displacements are the basic unknowns of the functional. Two different sectorial elements are developed with $3{\times}8$ degrees of freedom (SEC24) and $4{\times}8$ degrees of freedom (SEC32). The accuracy of the SEC24 and SEC32 elements together are verified by applying the method to some problems taken from literature.

Iris Recognition using MPEG-7 Homogeneous Texture Descriptor (MPEG-7 Homogeneous Texture 기술자를 이용한 홍채인식)

  • 이종민;한일호;김희율
    • Proceedings of the IEEK Conference
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    • 2002.06d
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    • pp.45-48
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    • 2002
  • In this paper, we propose an iris recognition system using Homogeneous Texture descriptor of MPEG-7 standard. The texture of iris is generally used in iris recognition system. We segment the pupil with Hough transform and the boundary of iris with it's gray level difference between the white of the eye. To extract Homogeneous Texture descriptor, this iris image is transformed into polar coordinates. The extracted descriptor is then compared with the reference in DB. If their distance is larger than threshold, they are recognized as different iris. Test results will show that Homogeneous Texture descriptor can be a good measure for iris recognition system.

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Static analysis on Permanent Magnet Synchronous Motors using Transfer Relation Theorem according to Shaft Materials (전자기 전달관계 이론을 이용한 회전자 축 조건별 영구자석 동기 전동기의 정특성 해석)

  • Jang, Seok-Myeong;Park, Yu-Seop;Ko, Kyoung-Jin;Park, Ji-Hoon;Lee, Sung-Ho;Choi, Jang-Yeong
    • Proceedings of the KIEE Conference
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    • 2009.04b
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    • pp.35-37
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    • 2009
  • This paper deals with the static analysis on the permanent magnet synchronous motors(PMSM) using transfer relation theorem according to the shaft materials, and adopts the analytical method to predict the magnetic field distribution and to calculate the electrical parameters by using Transfer Relation Theorem(TRT) in terms of 2-D model in polar coordinates system. In addition, the three types of PMSMS with different types of shafts, which are Iron cored, Air cored, Full-ring permanent magnet type shaft, are suggested in this research, and with those models, not only the analysis on the magnetic field distribution, the estimation of electrical parameters, but also their comparison with Finite Element Analysis(FEA) is processed.

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Adaptive Sliding Mode Control for Nonholonomic Mobile Robots with Model Uncertainty and External Disturbance (모델 불확실성과 외란이 있는 이동 로봇을 위한 적응 슬라이딩 모드 제어)

  • Park, Bong-Seok;Choi, Yoon-Ho;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1644-1645
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    • 2007
  • This paper proposes an adaptive sliding mode control method for trajectory tracking of nonholonomic mobile robots with model uncertainties and external disturbances. The kinematic model represented by polar coordinates are considered to design a robust control system. Wavelet neural networks (WNNs) are employed to approximate arbitrary model uncertainties in dynamics of the mobile robot. From the Lyapunov stability theory, we derive tuning algorithms for all weights of WNNs and prove that all signals of an adaptive closed-loop system are uniformly ultimately bounded.

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Mapping of the Equilibrium Shoreline Equation of parabolic type into Polar Coordinates for Comprehensive Application (포물선형 평형 해안선 식의 범용적 사용을 위한 극좌표계로의 매핑)

  • Kim, Dong Hee;Lee, Jung Lyul
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.202-206
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    • 2015
  • 해안선은 길게 뻗어 있지만 직선적이지 않고 원호와 같은 곡선을 보인다. 그러나 대부분의 평형 해안선식은 직선적 해안이라고 가정하고 수립되어 그 효용성이 큼에도 불구하고 실 해안에 적용되는 경우 잘 재현하지 못하는 경우가 범용적으로 이용되는 데 큰 걸림돌이 되었다. 특히 해안선의 포괄 원호의 반경이 작을수록 문제가 크다는 점에 착안하여 해안선을 포괄하는 극좌표계에 포물선형 평형 해안선 식을 매핑하는 방법을 적용하였다. 그 결과 control point의 개연성을 극복하였고 대부분의 동해, 서해든 국내 해안에 적용한 결과 만족할 만한 결과를 제공하였다. Matlab GUI로 개발되어 실무자들이 항만이나 어항 등 연안해역 개발에 따른 침식 문제의 근본 해결 방안을 사전에 수립하는 데 큰 도움이 되리라 기대한다.

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Development of magnetic field measurement system for AMS cyclotron

  • Ho Namgoong;Hyojeong Choi;Mitra Ghergherehchi;Donghyup Ha;Mustafa Mumyapan;Jong-Seo Chai;Jongchul Lee;Hoseung Song
    • Nuclear Engineering and Technology
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    • v.55 no.8
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    • pp.3114-3120
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    • 2023
  • A high-accuracy magnetic field measurement device based on a cyclotron is being developed for accelerator mass spectrometry (AMS). In this study, a magnetic field measurement device consisting of a Hall probe sensor, piezo-motor, and step motor was developed to measure the magnetic field of the AMS cyclotron magnet. The Hall probe sensor was calibrated to achieve positional accuracy by using polar coordinates. The measurement results between the ratchet gear and piezo-motor, which are the instruments used for driving the measurement device, were analyzed. The measurement result of the device with a piezo-motor exhibits a difference of 5 Gauss (0.04%) as compared with the simulation result.

Cell Edge SINR of Multi-cell MIMO Downlink Channel (다중 셀 MIMO 하향채널의 셀 에지 SINR)

  • Park, Ju-Yong;Kim, Ki-Jung;Kim, Jeong-Su;Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.4
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    • pp.105-117
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    • 2015
  • In this paper, we consider 19 cells with the two tiers for polar-rectangular coordinates (PRCs) and provide the cell edge performance of cellular networks based on distance from cell center i.e., BS (base station). When FFR is applied(or adopted) to cell edge, it is expected that BS cooperation, or a coordinated multipoint (CoMP) multiple access strategy will further improve the system performance. We proposed a new method to evaluate the sum rate capacity of the MIMO DC of multicell system. We improve the performance of cell edge users for intercell interference cancelation in cooperative downlink multicell systems. Simulation results show that the proposed scheme outperforms the reference schemes, in terms of cell edge SINR (signal-to-interference-noise ratio) with a minimal impact on the network path loss exponent. We show 13 dB improvements in cell-edge SINR by using reuse of three relative to reuse of one. BS cooperation has been proposed to mitigate the cell edge effect.