• 한국전기전자재료학회논문지
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• 제21권4호
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• pp.348-353
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• 2008

Most of the high voltage insulation systems, such as the power cable joint having hetero interface, are composed of more than two different insulators to improve insulating performance. The partial discharge(PD) in these hetero interface is expected to affect the total insulation performance. Thus, it is important to study electrical properties on these interfaces. This study described the influence of copper and semiconductive substance defects on $\Phi$-q-n distribution between the interface of the model cable joints to classify PD source. PD was sequentially detected for 600 cycles of the applied voltage. The K-means cluster analysis has been analyzed to investigate the $\Phi$-q-n distribution. The skewness-kurtosis(Sk-Ku) plot from K-means clustering results was defined to quantify cluster distribution and classify distribution patterns. The Sk-Ku plot is composed of skewness and kurtosis along abscissa and ordinate which indicate the asymmetry and the sharpness of distribution. As a result of the Sk-Ku plot, it was confirmed that the data was distributed in 1st 2nd and 3rd quadrant at copper foreign substance defect, but in case of semiconductive foreign substance, the data was distributed in 2nd quadrant only.

• 한국전기전자재료학회논문지
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• 제25권3호
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• pp.229-235
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• 2012

This paper dealt with the fabrication of a partial discharge (PD) analyzer for insulation diagnosis of power facilities like transformers, cables and gas-insulated switchgears. An analytic algorithm for the phase (${\phi}$), the magnitude (q), and the pulse count (n) of PD pulse was designed and a time-frequency (TF) map algorithm was applied in the system to eliminate noises by analyzing the time and the frequency component of signals. All the algorithms were operated by a LabView graphical program. The detection circuit consists of a coupling capacitor, a detection impedance, and a low noise amplifier. A plane-plane and a point-plane electrode system were fabricated to simulate different types of insulation defects. In the experiment, we could easily understand the characteristics of PD pulses using the prototype PD analyzer.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2000년도 하계학술대회 논문집 C
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• pp.1853-1855
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• 2000

An experimental investigation has been performed in order to understand the $\Phi$-q-n characteristics related to the PD taking place from the various size of artificial defects inserted in epoxy insulation. In this purpose, PD has been detected simultaneously by two different methods such as commercialized PD detector(TE571) and our detection system using self designed CT type sensor. Under the presence of void in epoxy insulation, PD has been initiated at the voltages between 16kV and 20kV which are much lower than the dielectric strength of epoxy insulation (130kV/mm$\sim$l50kV/mm). And also it is revealed that $\Phi$-q-n characteristics have been observed to be dependent upon the size of the artificial defects. Throughout this work, the on site applicability of the self designed Sensor has also been proved by comparing the results with those from the commercialized PD detector. And more one, considerable basic data regarding the insulation, diagnosis could be provided to understand the presence of the voids possibly inserted into the epoxy insulation system of the power apparatus.

• Korean Journal of Mathematics
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• 제17권3호
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• pp.283-291
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• 2009

We investigate the existence of multiple solutions (${\xi},{\eta}$) for perturbations of the parabolic system with Dirichlet boundary condition $$(0.1)\;\begin{array}{lcr}{\xi}_t=-L{\xi}+g_1(3{\xi}+{\eta})-s{\phi}_1-h_1(x,t)\;in\;{\Omega}{\times}(0,\;2{\pi}),\\{\eta}_t=-L{\eta}+g_2(3{\xi}+{\eta})-s{\phi}_1-h_2(x,t)\;in\;{\Omega}{\times}(0,\;2{\pi}).\end{array}$$ We show the existence of multiple solutions (${\xi},{\eta}$) for perturbations of the parabolic system when the nonlinearity $g^{\prime}_1,\;g^{\prime}_2$ are bounded and $3g^{\prime}_1(-{\infty})+g^{\prime}_2(-{\infty})<{\lambda}_1,\;{\lambda}_n<3g^{\prime}_1(+{\infty})+g^{\prime}_2(+{\infty})<{\lambda}_{n+1}$.

• Korean Journal of Mathematics
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• 제16권4호
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• pp.553-564
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• 2008

We have a concern with the existence of solutions (${\xi},{\eta}$) for perturbations of the parabolic system with Dirichlet boundary condition $$(0.1)\;\begin{array}{lcr}{\xi}_t=-L{\xi}+{\mu}g(3{\xi}+{\eta})-s{\phi}_1-h_1(x,t)\;in\;{\Omega}{\times}(0,2{\pi}),\\{\eta}_t=-L{\eta}+{\nu}g(3{\xi}+{\eta})-s{\phi}_1-h_2(x,t)\;in\;{\Omega}{\times}(0,2{\pi})\end{array}.$$ We prove the uniqueness theorem when the nonlinearity does not cross eigenvalues. We also investigate multiple solutions (${\xi}(x,t),\;{\eta}(x,t)$) for perturbations of the parabolic system with Dirichlet boundary condition when the nonlinearity f' is bounded and $f^{\prime}(-{\infty})<{\lambda}_1,{\lambda}_n<(3{\mu}+{\nu})f^{\prime}(+{\infty})<{\lambda}_{n+1}$.

• Journal of applied mathematics & informatics
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• 제27권5_6호
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• pp.1211-1220
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• 2009

In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian $({\phi}_p(u'))'$(t)+q(t)f(t,u(t),u'(t))=0, t $\in$ (0, 1), subject to the boundary conditions: $u(0)=\sum\limits_{i=1}^{n-2}{\alpha}_iu({\xi}_i),\;u(1)=\sum\limits_{i=1}^{n-2}{\beta}_iu({\xi}_i)$ where $\phi_p$(s) = $|s|^{n-2}s$, p > 1, $\xi_i$ $\in$ (0, 1) with 0 < $\xi_1$ < $\xi_2$ < $\cdots$ < $\xi{n-2}$ < 1 and ${\alpha}_i,\beta_i{\in}[0,1)$, 0< $\sum{\array}{{n=2}\\{i=1}}{\alpha}_i,\sum{\array}{{n=2}\\{i=1}}{\beta}_i$<1. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative.

• 대한수학회지
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• 제31권3호
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• pp.401-416
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• 1994

We study the existence of an intermediate solution of nonlinear elliptic boundary value problems (BVP) of the form $$ (BVP) {\Delta u = f(x,u,\Delta u), in \Omega {Bu(x) = \phi(x), on \partial\Omega, $$ where $\Omega$ is a smooth bounded domain in $R^n, n \geq 1, and \partial\Omega \in C^{2,\alpha}, (0 < \alpha < 1), \Delta$ is the Laplacian operator, $\nabla u = (D_1u, D_2u, \cdots, D_nu)$ denotes the gradient of u and $$ Bu(x) = p(x)u(x) + q(x)\frac{d\nu}{du} (x), $$ where $\frac{d\nu}{du} denotes the outward normal derivative of u on $\partial\Omega$.

• 대한전기학회논문지:전기물성ㆍ응용부문C
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• 제49권1호
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• pp.19-23
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• 2000

Partial discharges(PD)in air insulated electric power apparatus often lead to deterioration of solid insulation by electron bombardments and electrochemical reaction. The PD caused to reduce the life time of power apparatus and to increase power losses. Thus understanding and classification of PD patterns in air are very important to discern sources of PD. In this paper, PD in air by using statistical methods was investigated. We classified air discharges, corona, surface discharges and cavity discharges by Kohonen network. For classification of PD patterns, we used statistical operators and parameters such as skewness$(S^+,\; S^-),\; kurtosis(K^+, K^-),\; mean phase(AP^+, AP^-)$, cross-correlation factor(CC) and asymmetry derived from the mean pulse-height phase distribution$(H_{avg}(\phi))$, the max pulse-height phase distribution $(H_{qmax}(\phi))$, the pulse count phase distribution $(H_n(\phi))$ and the pulse height vs. Repetition rate $(H_q(n))$.

• 디지털산업정보학회논문지
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• 제14권4호
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• pp.9-16
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• 2018

This study described partial discharge(PD) distribution analysis between the XLPE(Cross-Linked PolyEthylene)and EPDM(Ethylene Propylene Diene Monomer) interface with unsupervised classification. The ${\phi}-q-n$ patterns were analyzed using phase resolved partial discharge(PRPD). K-means cluster analysis forms a cluster based on similarities and distances among scattered individuals, and analyzes the characteristics of the formed clusters, dividing the multivariate data into several groups according to the similarity of each characteristic, Is a statistical analysis that makes it easier to navigate. It was confirmed that the phase angle of the cluster with the maximum discharge charge was concentrated around $0^{\circ}$ and $180^{\circ}$ at 30 kV after the initial phase distribution localized around $90^{\circ}$ and $300^{\circ}$ expanded to the whole phase angle according to the voltage rise. The Euclidean distance between the center of gravity and the discharge charge in the ${\Phi}-q$ cluster increased with increasing applied voltage.

• 한국수산과학회지
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• 제8권2호
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• pp.47-60
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• 1975

자원해석은 일반적으로 시계열적 견지에 입각하고 있으나, 본 연구에서는 단면적인 견지에서, 2년간의 자원변동을 극수적인 관계에서 파악하여 자원해석을 하였으며, 이것으로 각년의 가입량을 추정하는 방법 시도하였다. 이를 요약하면 다음과 같다. 1. 단일 population에 있어서 t 시기(년 또는 어기)와 t+1 시기와의 초기자원량(미수)의 관계는 $N_{0,\;t+1}=N_{0,\;t}(1-m_t)-C_t+R_{t+1}$ 단, $N_0$ : 초기자원량 (미수), C : 어획미수, R : 가입미수, m : 자연사망률 이다. 위의 식에서 다음의 관계가 성립된다. $\phi_{t+1}=\frac{(1-\varrho^{-z}{t+1})Z_t}{(1-\varrho^{-z}t)Z_{t+1}}-\frac{1-\varrho^{-z}t+1}{Z_{t+1}}\phi_t-a'\frac{1-\varrho^{-z}t+1}{Z_{t+1}}C_t+a'\frac{1-\varrho^{-z}t+1}{Z_{t+1}}R_{t+1}$ 단, $\phi$ : 밀도지수, M : 자연사망계수, Z : 감소계수, a' : 평균자원량에 대한 밀도지수 이 식에서 $\phi$ 및 $C_t$를 독립변수, $\phi_{t+1}$를 종속변수라해서 중회귀분석하여 $\phi_t$ 및 $C_t$ 의 각 계수를 구하고, 이 각 계수로서 저연사망계수 M, 단위노력당 어획계수 a'을 구하여 t+1연의 가입량추정치 $\hat{R}_{t+1}$를 구할 수 있다. 중회귀분석하는 데 있어서는 $R_{t+1}$이 거의, 같으며 $X_{t+1}$에 심한 차이가 없는 시기를 선정하여 취급할 수 있다. 2. 각 시기의 추정된 가입량은 가입량의 상대치로서 인정하는 것이 안전하다. 3. 밀도지수 대신으로 자원량지수를 사용하여도 같은 추정방법으로 가입량이 추정된다. 단, 어장면적을 고려해야 한다. 4. 변동관계를 미수로서 취급할 때는 이론적으로 가입량의 절대치를 구할 수 있으나, 중량으로 취급할 때는 이론적으로 가입량의 상대치를 구하게 된다. 그러나 어느 경우나 같은 추정방법이 적용된다. 5. 인도양의 bigeye tuna에 대하여 수전(1970)의 자료를 이용하여 본 추정방법에 적용시켜 보았다. 수전(1970)가 구한 M,q(단위노력당 어획계수)로서 계산된 각년의 가입량의 변화와 본연구에서 구한 각년의 가입량의 변화와는 극히 비례적이었다(Table 2, Fig.2). 6. 한국동안의 꽁치에 있어서 해황어황 주간예보 ($1964.3\~1974.8$ : 국립수산진흥원 포항지원)의 자료를 이용하여 어느 해의 춘하기의 밀도지수와 그해의 추동기의 밀도지수와의 관계에서 각년의 추기의 가입량을 추정하고 어느 해의 추동기의 밀도지수와 다음해의 춘하기의 밀도지수와의 관계에서 각년의 춘하기의 가입량을 추정하였다(Table4, Fig.5, Fig.7). 그 결과, 년금의 폭이 좁은 이 꽁치 군단에 있어서 각년의 밀도지수와 가입량이 상당히 비례적이었다.