• 제목/요약/키워드: Outer approximation

검색결과 40건 처리시간 0.025초

Fast Mixed-Integer AC Optimal Power Flow Based on the Outer Approximation Method

  • Lee, Sungwoo;Kim, Hyoungtae;Kim, Wook
    • Journal of Electrical Engineering and Technology
    • /
    • 제12권6호
    • /
    • pp.2187-2195
    • /
    • 2017
  • In order to solve the AC optimal power flow (OPF) problem considering the generators' on/off status, it is necessary to model the problem as mixed-integer nonlinear programming (MINLP). Because the computation time to find the optimal solution to the mixed-integer AC OPF problem increases significantly as the system becomes larger, most of the existing solutions simplify the problem either by deciding the on/off status of generators using a separate unit commitment algorithm or by ignoring the minimum output of the generators. Even though this kind of simplification may make the overall computation time tractable, the results can be significantly erroneous. This paper proposes a novel algorithm for the mixed-integer AC OPF problem, which can provide a near-optimal solution quickly and efficiently. The proposed method is based on a combination of the outer approximation method and the relaxed AC OPF theory. The method is applied to a real-scale power system that has 457 generators and 2132 buses, and the result is compared to the branch-and-bound (B&B) method and the genetic algorithm. The results of the proposed method are almost identical to those of the compared methods, but computation time is significantly shorter.

두꺼운 외부도체를 가진 손실이 있는 동축선로의 특성임피던스 근사 (Approximation of the Characteristics Impedance of a Lossy Coaxial Line with a Thick Outer Conductor)

  • 강진섭;김정환
    • 한국전자파학회논문지
    • /
    • 제11권4호
    • /
    • pp.649-656
    • /
    • 2000
  • 본 논문에서는 두꺼운 외부도체를 가진 손실이 있는 동축선로의 해석적인 특성임피선스 표현식 및 근사식을 제안했다. 그리고 제안된 근사식을 동축선로의 동작 주파수대역에서 사용 가능하다는 것을 3.5mm reference air line에 대해 보였다.

  • PDF

NON-GREY RADIATIVE TRANSFER IN THE PHOTOSPHERIC CONVECTION : VALIDITY OF THE EDDINGTON APPROXIMATION

  • BACH, KIEHUNN
    • 천문학회지
    • /
    • 제49권1호
    • /
    • pp.1-8
    • /
    • 2016
  • The aim of this study is to describe the physical processes taking place in the solar photosphere. Based on 3D hydrodynamic simulations including a detailed radiation transfer scheme, we investigate thermodynamic structures and radiation fields in solar surface convection. As a starting model, the initial stratification in the outer envelope calculated using the solar calibrations in the context of the standard stellar theory. When the numerical fluid becomes thermally relaxed, the thermodynamic structure of the steady-state turbulent flow was explicitly collected. Particularly, a non-grey radiative transfer incorporating the opacity distribution function was considered in our calculations. In addition, we evaluate the classical approximations that are usually adopted in the onedimensional stellar structure models. We numerically reconfirm that radiation fields are well represented by the asymptotic characteristics of the Eddington approximation (the diffusion limit and the streaming limit). However, this classical approximation underestimates radiation energy in the shallow layers near the surface, which implies that a reliable treatment of the non-grey line opacities is crucial for the accurate description of the photospheric convection phenomenon.

상사해(相似解) 및 수치해를 이용한 점성원반 붕괴시 원반 구조 이해 (UNDERSTANDING OF DISK STRUCTURE DURING THE COLLAPSE OF THE VISCOUS DISK USING SELF-SIMILAR AND NUMERICAL SOLUTIONS)

  • 유계화
    • 천문학논총
    • /
    • 제20권1호
    • /
    • pp.37-42
    • /
    • 2005
  • The problem for the collapse of isothermal and rotational self-gravitational viscous disk is considered. We derive self-similar solutions for the cases in the inner and outer regions of the self-gravitational viscous disk. We show that surface density depends on ${\sigma}_0/r$ in the outer region of the disk using a slow accretion approximation. The ratio of a modified viscous parameter in the outer region of the disk to that in the inner region is 0.042. We resorted to numerical solutions of governing equations of the self-gravitational disk to find out profiles of ${\sigma}$, u and ${\upsilon}$ in terms of x. Their profiles were rapidly changed around the innermost region of the self-gravitational disk. It indicates that a new object was formed in the most inner region of the disk.

NUMERICAL METHOD FOR SINGULARLY PERTURBED THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS OF REACTION-DIFFUSION TYPE

  • ROJA, J. CHRISTY;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
    • /
    • 제35권3_4호
    • /
    • pp.277-302
    • /
    • 2017
  • In this paper, we have proposed a numerical method for Singularly Perturbed Boundary Value Problems (SPBVPs) of reaction-diffusion type of third order Ordinary Differential Equations (ODEs). The SPBVP is reduced into a weakly coupled system of one first order and one second order ODEs, one without the parameter and the other with the parameter ${\varepsilon}$ multiplying the highest derivative subject to suitable initial and boundary conditions, respectively. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and finite difference scheme. The weakly coupled system is decoupled by replacing one of the unknowns by its zero-order asymptotic expansion. Finally the present numerical method is applied to the decoupled system. In order to get a numerical solution for the derivative of the solution, the domain is divided into three regions namely two inner regions and one outer region. The Shooting method is applied to two inner regions whereas for the outer region, standard finite difference (FD) scheme is applied. Necessary error estimates are derived for the method. Computational efficiency and accuracy are verified through numerical examples. The method is easy to implement and suitable for parallel computing. The main advantage of this method is that due to decoupling the system, the computation time is very much reduced.

동축-원추-방사형 선로변환에 의한 마이크로파 전력분할/합성기의 광대역 설계 (Design of a Broadband Microwave Power Divider/Combiner using Coaxial-Conical-Radial Transmission Line Conversion)

  • 최영규
    • 전기학회논문지
    • /
    • 제60권7호
    • /
    • pp.1385-1390
    • /
    • 2011
  • A coaxial-conical-radial transmission line conversion circuits have been investigated to realize a low loss high performance microwave power divider/combiner. In order to optimize the characteristics of the device, the power divider/combiner was designed separately with two parts-the inner part and the outer part. Utilizing the rectangular approximation of the outer part, we can design the low loss device which is not affected by the partition number N of the outer part. The small return loss which is lower than 20dB was obtained on the frequency range of 5.15GHz(7.45~12.60GHz). A conical connector was employed for smooth connection between the central coaxial line and the outer radial line. Making use of the $47^{\circ}$ and $90^{\circ}$ 2-stage conical connector, the return loss lower than 30dB was obtained on the operating frequency range of 5GHz. The total return loss of the designed divider/combiner was lower than 20dB on the frequency range of 5GHz for the partition number N=11, N=12 and N=16.

복사열과 부분열림이 자연대류에 미치는 영향에 관한 연구 (Natural Convection Coupled with Thermal Radiation within Partially Open Enclosure)

  • 노승균;김광선;이재효
    • 대한기계학회논문집
    • /
    • 제18권11호
    • /
    • pp.2999-3007
    • /
    • 1994
  • The unsteady numerical simulations have been presented for the laminar natural convection in a partially open compartment. Computations were performed within the domain of the compartment in order to show the thermal radiation and the partially opening effects on the flow fields and heat transfer characteristics. The results were shown for different Planck numbers(0.05~5) and opening ratios(0.25~0.75) being fixed with Ra=$10^5$ and Pr=0.71. Considering the flow which is buoyancy driven from the heated wall, and the buoyancy is not much affected by the further outside region from the opening, the numerical computations have been performed without an outer region by the particular boundary treatments on the flow velocity and temperature at the different partial openings. The confined numerical domain reduced the CPU time and the memory of computer. P-1 approximation of radiative transfer equation was employed with Marshak type boundary conditions along with the pseudo-black body approximation at the partial openings. The numerical results clearly show that the natural convective flow and heat transfer are much affected by increase of thermal radiation particularly from the initial state. When thermal radiation is not much affecting the flow ($PL{\le}1$), it was found that thermal radiation effects are almost negligible.

방사성 폐기물 처분장내 충전물질에서의 핵종 이동 모델의 원주좌표계와 평면좌표계에서 결과 비교 (Comparison of the Cylindrical Geometry and the Planar Geometry for the Near-Field Radionuclides Transport Model)

  • Kang, Chul-Hyung;Han, Kyong-Won;Park, Hun-Hwee
    • Nuclear Engineering and Technology
    • /
    • 제23권1호
    • /
    • pp.41-48
    • /
    • 1991
  • 처분장에서의 방사성 핵종 이동 연구에서 많은 학자들이 일차원 모델이나 평면좌표 모델을 가정하여 사용하고 있다. 이러한 시도들은 정당한 가정이라는 것을 보여야 할 것이다. 본 논문에서는 충전물질에서의 핵종이동에서 사용한 가정, 즉 원주좌표계를 평면좌표계로 단순화하였던 가정을 검증하고자 한다. 본 연구 결과, 충전물질층의 외경과 폐기물 고화체의 직경의 비가 1에 가까울수록 평면좌표계의 가정은 원주좌표계의 결과와 잘 일치함을 알 수 있으며 그 비가 커져도 두 좌표계의 오차는 상대적으로 적음을 알 수 있다. 또한 평면좌표계의 가정이 보수적인 결과를 준다.

  • PDF

세탁기용 유도모터의 냉각에 관한 수치적 연구 (Numerical Study on the Cooling of Induction Motor In a Washing Machine)

  • 홍상욱;전시문
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2003년도 추계학술대회
    • /
    • pp.266-271
    • /
    • 2003
  • The numerical study was carried out to effectively cool Induction motor applied to a washing machine. The outer rotor made of steel periodically spins up and down. The stator consists of the thin layered iron plates and copper coil. The effective cooling system is necessary to solve the reliability problem caused by the electric losses at the coil and the iron plate. Because the heat transfer rate of the natural convection in partially open space is generally low, thus it is necessary to enhance the heat transfer using rotating perforated plate. The flow phenomena around the motor are very complex due to the motor geometry and the outer rotor motion. The mixed convection takes place due to the slow rotation speed. The three dimensional flow simulation was performed using rotating reference frame technique and Boussinesq approximation but the radiation effect was neglected. It was found that the angle and direction of the cooling blades play an important role in the stator temperature.

  • PDF

Frequency-Domain Balanced Stochastic Truncation for Continuous and Discrete Time Systems

  • Shaker, Hamid Reza
    • International Journal of Control, Automation, and Systems
    • /
    • 제6권2호
    • /
    • pp.180-185
    • /
    • 2008
  • A new method for relative error continuous and discrete time model order reduction is proposed. The reduction technique is based on two recently developed methods, namely frequency domain balanced truncation within a frequency bound and inner-outer factorization techniques. The proposed method is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency. Numerical results show the accuracy and efficiency enhancement of the method.