• The Transactions of the Korean Institute of Power Electronics
• /
• v.19 no.3
• /
• pp.233-239
• /
• 2014

This paper proposes that each converter supplies the power using the proposed droop control for the parallel operation of the converters. The proposed method is easy to increase the power as parallel system in DC distribution. By improving conventional droop-control method used in AC grid newly, a droop controller is designed to apply droop control in DC grid. And the control method of the proposed droop controller is explained particularly. In this paper, by applying the proposed control method to DC distribution system, propriety is verified through the simulation and the experiment.

• Communications of Mathematical Education
• /
• v.30 no.4
• /
• pp.469-497
• /
• 2016

In this research, we develop a systematic learning the materials on constructibility of cubic roots. We propose two sets of materials: one is based on concepts of field, vector space, minimal polynomial in abstract algebra, another based on properties of cubic roots in elementary algebra. We assess the validity, applicability, defects and merits of developed materials through prospective teachers, in-service teachers, and professionals. It could be expected that materials be used for advanced secondary students, mathematics majoring college students and mathematics teachers. Furthermore, we may expect the materials be useful for understanding and solving the (un)constructibility problems.

• Journal of Korean Society of Coastal and Ocean Engineers
• /
• v.5 no.3
• /
• pp.204-211
• /
• 1993

Boundary element method is applied to simulate nonlinear water waves using Green's identity formula in a numerical wave flume. A system of linear equations is formulated from the governing equation and free surface boundary conditions in order to calculate velocity potential and water surface elevation at each nodal point. The velocity square terms are included in the dynamic free surface boundary condition. The free surface is treated as a moving boundary. the vertical variation of velocity potential being considered in calculating the time derivative of the velocity potential at the free surface. The present method is applied to simulate solitary wave and Stokes 2nd order wave, and shows excellent agreements with their theoretical values.

• Proceedings of the Korea Water Resources Association Conference
• /
• 2017.05a
• /
• pp.326-326
• /
• 2017

개수로에서 비에너지(specific energy)는 수로바닥을 기준으로 단위무게의 물이 가지는 에너지로 정의되며 흐름의 위치수두와 속도수두의 합으로 표현된다. 비에너지는 수로단면의 변화에 따른 수심의 변화를 해석하기 위하여 사용되는 중요한 개념이다. 사각형 개수로에서의 비에너지 관계식은 3차방정식의 형태이며, 해석적으로 3개의 해(3개의 수심)를 가지나, 물리적인 의미를 가지는 해는 2개이며 나머지 하나의 해는 음수이므로 물리적인 의미를 가지지 않는다. 물리적인 의미를 가지는 2개의 해는 각각 흐름이 상류(subcritical flow)인 경우와 사류(supercritical flow)인 경우에 대한 수심이다. 즉, 일정한 유량이 흐르는 조건에서 동일한 비에너지를 가지는 수심이 상류와 사류에 각각 존재하는데, 이 2개의 수심을 대응수심(alternate depths)이라 정의한다. 이러한 사각형 개수로에 대한 비에너지 관계식은 3차방정식이므로 그 해석해를 구할 수 있어, 수로단면의 변화에 따른 흐름의 변화를 비교적 쉽게 해석할 수 있다. 사각형 개수로가 아닌 경우의 비에너지 관계식을 이론적으로 고찰하는 연구는 찾아보기 힘들다. 이에 본 연구에서는 포물선형 개수로에 대해서 비에너지 관계식을 유도하였다. 유도된 비에너지 관계식은 비선형 음함수의 형태로 해석적으로 해를 구할 수 없다. 유도된 관계식의 해법으로 2차의 정밀도를 가지는 Newton-Raphson방법을 이용하였으며, 계산의 초기치는 상용화된 Excel에서 쉽게 구할 수 있는 회귀식을 이용하여 구하였다. 적용 예를 통해, 단순 회귀식을 이용하는 경우에는 정해와의 상대오차가 2 - 8% 내외였는데, 본 연구에서 제안하는 방법을 사용하는 경우에는 동일한 조건에서 상대오차가 0.25% 내외를 보였다. 즉 본 연구에서 제시하고 있는 양해법을 이용하면, 포물선형 개수로 흐름의 대응수심을 용이하게 그리고 정확도가 매우 높게 산정할 수 있다.

• Journal of the Korean Society of Marine Environment & Safety
• /
• v.23 no.1
• /
• pp.104-111
• /
• 2017

This research focuses on simulation and visualization of flow field characteristics inside a centrifugal pump. The 3D numerical analysis was carried out by using a numerical CFD tool, addressing a Reynolds Average Navier-Stock code with a standard k-${\varepsilon}$ two-equation turbulence model. The simulation accounts for friction head loss due to rough walls at suction, impeller, discharge areas and volumetric head loss at impeller wear ring. A comparison of performance curves between simulation and experimentation is included, and it reveals a same trend of those results with a small difference of maximum 5 %. At best efficiency point, velocity vectors are smooth but it changes significantly under off-design point, a strong recirculation appears at the outlet of impeller passages near tongue area. A relatively uniform preassure distribution was observed around the impeller in despite of the tongue. Within the volute, because of its geometry, spiral vortexes formed, proving that the flow field in this region was relatively turbulent and unsteady.

• Journal for History of Mathematics
• /
• v.32 no.4
• /
• pp.159-173
• /
• 2019

In this paper, we examine the brief history of the ring of four almonds regarding Mesopotamian mathematics, and present reasons why the Omar Khayyam's triangle, a special right triangle in a ring of four almonds, was essential for artisans due to its unique pattern. We presume that the ring of four almonds originated from a point symmetry figure given two concentric squares used in the proto-Sumerian Jemdet Nasr period (approximately 3000 B.C.) and a square halfway between two given concentric squares used during the time of the Old Akkadian period (2340-2200 B.C.) and the Old Babylonian age (2000-1600 B.C.). Artisans tried to create a new intricate pattern as almonds and 6-pointed stars by subdividing right triangles in the pattern of the popular altered Old Akkadian square band at the time. Therefore, artisans needed the Omar Khayyam's triangle, whose hypotenuse equals the sum of the short side and the perpendicular to the hypotenuse. We presume that artisans asked mathematicians how to construct the Omar Khayyam's triangle at a meeting between artisans and mathematicians in Isfahan. The construction of Omar Khayyam's triangle requires solving an irreducible cubic polynomial. Omar Khayyam was the first to classify equations of integer polynomials of degree up to three and then proceeded to solve all types of cubic equations by means of intersections of conic sections. Omar Khayyam's triangle gave practical meaning to the type of cubic equation $x^3+bx=cx^2+a$. The work of Omar Khayyam was completed by Descartes in the 17th century.

• School Mathematics
• /
• v.10 no.2
• /
• pp.297-317
• /
• 2008

This study was designed to gain insight to adopt CAS into secondary level algebra education in Korea. Most inactive usage of calculators in math and most negative effects of calculators on their achievements of Korean students were shown in International studies such as TIMSS-R. A comparative study was carried out with consideration of mathematical backgrounds and technological environments. 8 Korean students and 26 US students in Grade 11 were participated in this study. Subjects' Problem solving process and their strategies of CAS usage in classical Box-problem with CAS were analyzed. CAS helped modeling by providing symbolic manipulation commands and graphs with students' mathematical knowledge. Results indicates that CAS requires shifts focus in algebraic contents: recognition of decimal & algebraic presentations of numbers; linking various presentations, etc. The extent of instrumentation effects on the selection of problem solving strategies among Korea and US students. Instrumentation

• Journal of the Korea institute for structural maintenance and inspection
• /
• v.10 no.3
• /
• pp.165-175
• /
• 2006

To analyze the deformation and failure of slopes, generally, two types of model, Polynomial model and Growth model, are applied. These two models are focused on the behavior of the slope by time. Therefore, this research is more focused on predicting of slope failure than analyzing the slope behavior by time. Generally, Growth model is used to analyze the soil slope, to the contrary, Polynomial model is used for rock slope. However, 3-degree polynomial($y=ax^3+bx^2+cx+d$) is suggested to combine two models in this research. The main trait of this model is having an asymptote. The fields to adopt this model are Gosujae Danyang(soil slope) and Youngduk slope(rock slope), which are the cut-slope near national road. Data from Gosujae are shown the failure traits of soil slope, to the contrary, those of Youngduk slope are shown the traits of rock slope. From the real-time monitoring data of the slope, 3-degree polynomial is proved as excellent system to analyze the failure and behavior of slope. In case of Polynomial model, even if the order of polynomials is increased, the $R^2$ value and shape of the curve-fitted graph is almost the same.

• Korean Journal of Agricultural and Forest Meteorology
• /
• v.19 no.3
• /
• pp.110-119
• /
• 2017

The agroclimatic indices are produced by statistical analysis based on primary climate data (e.g., temperature, precipitation, and solar irradiance) or driving agronomic models. This study was carried out to evaluate how selection of daily temperature for a climate normal (1983-2012) affected the precision of the agroclimatic indices. As a first step, averaged daily 0600 and 1500 LST temperature for a climate normal were produced by geospatial schemes based on topo-climatology ($365days{\times}1$ set, EST normal year). For comparison, 30 years daily temperature data were generated by applying the same process ($365days{\times}30sets$), and calculated mean of daily temperature (OBS normal year). The flowering date of apple 'Fuji' cultivar, the last frost date, and the risk of late frost were estimated based on EST normal year data and compared with the results from OBS normal year. The results on flowering date showed 2.9 days of error on average. The last frost date was of 11.4 days of error on average, which was relatively large. Additionally, the risk of the late frost was determined by the difference between the flowering and the last frost date. When it was determined based on the temperature of EST normal year, Akyang was classified as a risk area because the results showed that the last frost date would be the same or later than the flowering date in the 12.5% of area. However, the temperature of OBS normal year indicated that the area did not have the risk of a late frost. The results of this study implied that it would be necessary to reduce the error by replacing the EST method with the OBS method in the future.