• 제목/요약/키워드: analytical expression

검색결과 367건 처리시간 0.023초

An Analytical Expression for Current Gain of an IGBT

  • Moon, Jin-Woo;Chung, Sang-Koo
    • Journal of Electrical Engineering and Technology
    • /
    • 제4권3호
    • /
    • pp.401-404
    • /
    • 2009
  • A simple analytical expression for a current gain of IGBT is derived in terms of the device parameters as well as a gate length dependent parameter, which allows for the determination of the current components of the device as a function of its gate length. The analytical results are compared with those from simulation results. A good agreement is found.

An analytical expression for the dynamic active thrust from c-φ soil backfill on retaining walls with wall friction and adhesion

  • Shukla, Sanjay K.;Bathurst, Richard J.
    • Geomechanics and Engineering
    • /
    • 제4권3호
    • /
    • pp.209-218
    • /
    • 2012
  • This paper presents the derivation of an analytical expression for the dynamic active thrust from c-${\phi}$ (c = cohesion, ${\phi}$ = angle of shearing resistance) soil backfill on rigid retaining walls with wall friction and adhesion. The derivation uses the pseudo-static approach considering tension cracks in the backfill, a uniform surcharge on the backfill, and horizontal and vertical seismic loadings. The development of an explicit analytical expression for the critical inclination of the failure plane within the soil backfill is described. It is shown that the analytical expression gives the same results for simpler special cases previously reported in the literature.

동축 원통형 코로나 방전 플라즈마의 해석적 모델 (An Analytical Model of Corona Discharge Plasmas in Coaxial Cylindrical Reactor)

  • 고욱희
    • 대한전기학회논문지:전기물성ㆍ응용부문C
    • /
    • 제53권3호
    • /
    • pp.157-161
    • /
    • 2004
  • We present a simple analytical expression of plasma density by making use of the electron density equation to study the dynamic behavior of the corona discharge plasma. It assumes that a specified voltage profile is fed through the inner conductor of the reactor chamber consisting of two coaxial conducting cylinders. The analytical description is based on the electron continuity equation with ionization and attachment by electrons. It is found that the electron density profile calculated between two coaxial cylindrical electrodes depends very sensitively on the Profile of applied voltage. The analytical expression of plasma density and its generation will provide important scaling laws in the corona discharge plasma.

Analytical solution for natural frequency of monopile supported wind turbine towers

  • Rong, Xue-Ning;Xu, Ri-Qing;Wang, Heng-Yu;Feng, Su-Yang
    • Wind and Structures
    • /
    • 제25권5호
    • /
    • pp.459-474
    • /
    • 2017
  • In this study an analytical expression is derived for the natural frequency of the wind turbine towers supported on flexible foundation. The derivation is based on a Euler-Bernoulli beam model where the foundation is represented by a stiffness matrix. Previously the natural frequency of such a model is obtained from numerical or empirical method. The new expression is based on pure physical parameters and thus can be used for a quick assessment of the natural frequencies of both the real turbines and the small-scale models. Furthermore, a relationship between the diagonal and non-diagonal element in the stiffness matrix is introduced, so that the foundation stiffness can be obtained from either the p-y analysis or the loading test. The results of the proposed expression are compared with the measured frequencies of six real or model turbines reported in the literature. The comparison shows that the proposed analytical expression predicts the natural frequency with reasonable accuracy. For two of the model turbines, some errors were observed which might be attributed to the difference between the dynamic and static modulus of saturated soils. The proposed analytical solution is quite simple to use, and it is shown to be more reasonable than the analytical and the empirical formulas available in the literature.

Noncentral F-Distribution for an M-ary Phase Shift Keying Wedge-Shaped Region

  • Kim, Jung-Su;Chong, Jong-Wha
    • ETRI Journal
    • /
    • 제31권3호
    • /
    • pp.345-347
    • /
    • 2009
  • This letter presents an alternative analytical expression for computing the probability of an M-ary phase shift keying (MPSK) wedge-shaped region in an additive white Gaussian noise channel. The expression is represented by the cumulative distribution function of known noncentral F-distribution. Computer simulation results demonstrate the validity of our analytical expression for the exact computation of the symbol error probability of an MPSK system with phase error.

  • PDF

유압시스템 롤-오프 청정도의 이론적 고찰 및 트랙터에의 응용 (A Theoretical Investigation of Roll-Off Cleanliness for Hydraulic System and Application to a Tractor)

  • 이재천
    • 한국자동차공학회논문집
    • /
    • 제8권5호
    • /
    • pp.207-215
    • /
    • 2000
  • This study theoretically investigated the roll-off cleanliness operation to eliminate the built-in contaminants which are primarily the result of manufacturing and assembly procedures first. A rigorous analytical examination of the cleaning process associated with hydraulic systems was performed by developing the general filtration process equations. The sloughing process by which built-in contaminant is entrained in the system fluid was examined during the development of a general analytical expression for sloughing rate. This sloughing rate expression in conjunction with the filtration process equations have lead to a relationship rate expression in conjunction with the filtration process equations have lead to a relationship which describes the flushing and clean-up operation for the hydraulic systems. The effects of the primary roll-off cleanliness factors was discussed and illustrated on the figures. Then, the analytical results was shown to be usefully applied into the design of roll-off flushing equipment for the hydraulic system of a tractor.

  • PDF