• Title/Summary/Keyword: coupling coefficient ratio

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Experimental Verification of the Unified Formula for Electromechanical Coupling Coefficient of Piezoelectric Resonators

  • Kim, Jung-Soon;Kim, Moo-Joon;Ha, Kang-Lyeol;Cao, Wen-Wu
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.3E
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    • pp.110-114
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    • 2006
  • In a previous theoretical paper, we have derived a unified formula by considering 2-D coupled mode vibrations. The unified formula for electromechanical coupling coefficient of piezoelectric resonator was verified experimentally. The capacitance change near the resonant frequency was investigated to estimate the effective coupling coefficient of the resonator instead of the conventional method based on I-D model. The susceptance spectra were measured for the seven samples of piezoelectric resonator with different aspect ratio. Excellent agreement between theoretical and experimental results was obtained.

Extraction Solution for the Coupling Coefficient at the Magnetically Coupled Wireless Power Transmission (자계 결합 무선 전력 전송에서의 결합 계수 추출 방법)

  • Kim, Gun-Young;Lee, Bom-Son
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.9
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    • pp.1073-1078
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    • 2012
  • This paper presented the extraction solution for the coupling coefficient at the magnetically coupled wireless power transmission(WPT) system through the analysis of its equivalent circuit considering the loss. The conventional extraction solution using coupled mode theory is generalized employing the extracted solution considering the load resistance. Consequently, the measuring process of extracting coupling coefficient becomes convenient since the even/odd mode analysis is not necessary. Furthermore, the coupling coefficient obtained from the induced extraction method was in excellent agreement with the coupling coefficient obtained using the ratio of magnetic flux passing through the two loops. The extraction of the accurate coupling coefficient at the magnetically coupled WPT is an essential work to analyze and optimize the WPT system.

Calculation of the coupling coefficient for trapezoidal gratings using the ray optics technique (기하광학 방법을 이용한 사다리꼴 회절격자의 결합계수 계산)

  • 조성찬;김부균
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.7
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    • pp.97-104
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    • 1997
  • Using the ray optics technique, we derive the analytic expressions of TE mode coupling coefficient for five-layer distributed feedback (DFB) structure devices. We compare the coupling coefficient calculated by the ray optics technique with those calulated by the extended additional layer method (EALM) which may be a most accurate method of calculating the coupling coefficient. The difference between the results of the ray optics technique and those of the EALM is small for most cases of grating depth and forms being practically made. In the case of rectangular gratings, the difference increases as the duty cycle of graing deviates from 0.5. In the case of the trapezoidal grating, the difference increases as the ratio of the top to the period of grating deviates from 0.5 and as the length of the top becomes longer than that of the base. The difference of theree-layer DFB structures is smaller than that of five-layer DFB structures.

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A Resonant Circuit Design of the Inverter for Induction Heating by Analysis of the Coupling Coefficient (결합계수 해석에 의한 유도가열용 인버터의 공진회로 설계법)

  • 이광직;김주홍
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.11 no.6
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    • pp.90-95
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    • 1997
  • In designing a resonant circuit of the inverter which puts induction heating with high frequency to the load, an inductance L of the circuit, the coupling coefficient of a transformer transfering the output power to load, and the coupling coefficient of load circuit heating with coil affect to the output power of a resonant circuit, the circuit Q and the frequency. Those characteristics of the circuit are analyzed through Thevenan's equivalent circuit of the coupling coefficient type which is derived from the T-type equivalent circuit of a transformer. On this equivalent circuit, the impedance of a transformer referred to its primary side is not only proportional the square of turn ratio, nZ, but also the square of coupling coefficient, K2 This paper proposed a more accurate fundamental method to design a resonant circuit of the inverter by using the Thevenan's equivalent circuit.

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Electrical Properties and Temperature Stability of resonant Frequency with Zr/Ti ratio in PSN-PMN-PZT Ceramics (PSN-PMN-PZT 세라믹스의 Zr/Ti 비에 따른 전기적 특성과 공진주파수의 온도안정성)

  • 류주현;윤광희;민석규;이명수;서성재
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.13 no.8
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    • pp.675-680
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    • 2000
  • In this study the temperature coefficient of resonant frequency(TC $F_{r}$) dielectric and piezoelectric properties of Pb[(S $b_{1}$2//N $b_{1}$2/)$_{0.065}$)-(Z $r_{x}$, $Ti_{1-x}$ )$_{0.90}$] $O_3$ceramics were investigated with Zr/Ti ratio. The compositions near the morphotropic phase boundary (MPB) appeared when Zr/Ti ratio was 49.5/50.5 The dielectric constant and electromechanical coupling factor( $k_{p}$) also showed the highest values of 1,257, 0.653 respectively when the Zr/Ti ratio was 49.5/50.5 Moreover the mechanical quality factor( $Q_{m}$) showed th lowest value of 713 when the Zr/Ti ratio. The temperature coefficient of resonant frequency(TC $F_{r}$) abruptly change at the morphotropic phase boundary(MPB) which existed between the rhombohedral phase with highly negative TC $F_{r}$ of -106ppm/$^{\circ}C$ and the tetragonal phase with highly positive TC $F_{r}$ of +64pp $m^{\circ}C$ as Zr/Ti ratio varied from 50/50 to 49.5/50.5.50.5..50.5.

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Dielectric, Piezoelectric Properties and Temperature Stability of Resonant Frequency in PSN-PMN-PZT Ceramics (PSN-PMN-PZT 세라믹스의 유전 및 압전 특성과 공진 주파수의 온도안정성)

  • 윤광희;류주현;민석규;이명수;서성재
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.07a
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    • pp.391-395
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    • 2000
  • In this study, the temperature coefficient of resonant frequency(TC $F_{r}$), dielectric and piezoelectric properties of Pb[(S $b_{1}$2/N $b_{1}$2/)$_{0.0035}$-(M $n_{1}$3/N $b_{2}$3/)$_{0.0065}$-(Z $r_{x}$ $Ti_{1-x}$ )$_{0.90}$] $O_3$ceramics is investigated with Zr/Ti ratio. The dielectric constant and electromechanical coupling factor( $k_{p}$) showed the highest values of 1257, 0.562 respectively when the Zr/Ti ratio is 49.5/50.5. The mechanical quality factor( $Q_{m}$) is the lowest value of 713 when the Zr/Ti ratio is 49.5/50.5, and increased with the decrease of the Zr/Ti ratio. The temperature coefficient of resonant frequency(TC $F_{r}$) change abruptly at the morphotropic phase boundary(MPB), which is between the rhombohedral phase with highly negative TC $F_{r}$ of -106ppm/$^{\circ}C$ and the tetragonal phase with highly positive TC $F_{r}$ of +64pp $m^{\circ}C$ as Zr/Ti ratio changes from 50/50 to 49.5/50.5.50.5..5.50.5.5.

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A Study on the Characteristics of Directional Coupler by BPM (BPM에 의한 방향성 결합기의 특성 연구)

  • 장지호;최태일;최병하
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.7
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    • pp.951-958
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    • 1993
  • The coupling length is very important factor for the study of directional coupler and other intergrated-optic devices. And the calculation of coupling length is the fundamental process of studing various types of intergrated optical devices. But the calculation of coupling length, requires coupling coefficient n. and the evaluation of coupling coefficient f is very tedious because it requires the calculation of overlap intergral of the two modes. Because of above reason, we suggest the use of beam propagation method, We suggest the basic configuration of directional coupler, which has three different types of longitudinal to vertical ratio, and calculate the coupling length of sugested configuration by both coupled mode thery and beam propagation method and compare the results of each method.

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A Proposal of Measuring Method for Coupling Coefficient between Coils (코일간의 결합계수 측정법의 시안)

  • 김주홍;이용구;최우승;이원일
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.8 no.2
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    • pp.63-68
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    • 1994
  • With the expression inducted from equivalent circuit of transformer using coupling coefficient K, measuring terminal voltage, a calculation of coil coefficient with reapect to turn ratio is proposed. By that methcxi of measuring K, compared with values theorically, this paper confirmed its propriety. With that methcxi of measuring coil coefficient K, having several couple of coil set, we have clarified the characteristic of K according to changing coil's position, programming regression of least square methcxi, and then the expression for function of K is formulated.

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Coupling Efficiency of Optical Couplers considering Reflection Coefficient (반사계수를 고려한 광 결합기의 결합효율)

  • 호광춘;윤인국;박재서;김영권
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.966-969
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    • 1999
  • Using modal transmission-line theory (MTLT), we evaluate the power coupling of optical directional coupler composed by two parallel guiding slabs. The numerical results reveal that maximum power transfer occurs at a novel wavelength λ$_{opt}$, in which the excitation ratio of supermodes at input boundary is equal to each other, and it is generally different from minimum gap λ$_{min}$.in/.

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A Study on the Electrical properties of PSN-PMN-PZI system ceramics modified With $Y_2O_3$and $Fe_2O_3$ ($Y_2O_3$$Fe_2O_3$ 첨가에 따른 PSN-PMN-PZT 세라믹스의 전기적 특성에 따른 연구)

  • 민석규;황상모;이용우;류주현;김종선
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1999.11a
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    • pp.269-272
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    • 1999
  • In this study, electrical properties and TCFr of Pb(Sb$_{1}$2/Nb$_{1}$2/)O$_3$-Pb(Mn $_{1}$3/Nb$_{2}$3/)O$_3$-Pb(zr, Ti)O$_3$ composition ceramics were investigated wish the Zr/Ti ratio and the additions of Y2O3. and Fe$_2$O$_3$ Electromechanical coupling factor(Kp) showed the highest value of 0.555 in the Zr/Ti=0.50/0.50 ratio ,however, dielectric constant showed the highest value of 1,217 in the Zr/Ti = 0.49/0.51 ratio. Excellent TCFr vague of 421ppm/$^{\circ}C$] at-30~9O$^{\circ}C$ was appeared in the Zr/Ti=0.50/0.50 ratio and electro-mechanical coupling factor(Kp) , mechanical quility factor(Qm) and dielectric constant was 0.496, 1,286 and 1,085 ,respectively ,in the composition ceramics of lwt%Y$_2$O$_3$ and 0.3wt%Fe$_2$O$_3$.

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