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  1. School of Electrical Engineering, Myongji University
  2. School of Electrical & Electronics Engineering, Pusan National University
  3. Dept. of Electrical, Electronic and Control Engineering, Kongju National University
  4. Dept. of Mechanical Engineering, Myongji University
  5. Samhwa Capacitor Co., Ltd



PLZT capacitor, DC-link capacitor, Electrical characteristics, Breakdown voltage, Power electronics

1. ์„œ ๋ก 

์ตœ๊ทผ ํƒœ์–‘๊ด‘ ๋ฐœ์ „ ์‹œ์Šคํ…œ์€ ๋ฐœ์ „ ํšจ์œจ ํ–ฅ์ƒ, ํƒ„์†Œ์ค‘๋ฆฝ ์ •์ฑ… ๊ฐ•ํ™”, ๋ถ„์‚ฐํ˜• ์ „์› ํ™•๋Œ€ ๋“ฑ์œผ๋กœ ์ธํ•ด ์ „ ์„ธ๊ณ„์ ์œผ๋กœ ๋ณด๊ธ‰์ด ๋น ๋ฅด๊ฒŒ ์ฆ๊ฐ€ํ•˜๊ณ  ์žˆ๋‹ค [1,2]. ํƒœ์–‘๊ด‘ ์‹œ์Šคํ…œ์€ ๋ชจ๋“ˆ์—์„œ ์ƒ์„ฑ๋œ ์ง๋ฅ˜ (DC) ์ „๋ ฅ์„ ๊ณ„ํ†ต ์—ฐ๊ณ„๋ฅผ ์œ„ํ•ด ๊ต๋ฅ˜ (AC)๋กœ ๋ณ€ํ™˜ํ•˜๋Š” DC/AC ์ธ๋ฒ„ํ„ฐ ๊ตฌ์กฐ๋ฅผ ํฌํ•จํ•˜๋ฉฐ, ์žฅ๊ธฐ๊ฐ„ ์•ˆ์ •์ ์œผ๋กœ ์šด์ „ํ•˜๊ธฐ ์œ„ํ•ด์„œ๋Š” ์ „๋ ฅ ๋ณ€ํ™˜ ์žฅ์น˜ (power conditioning system, PCS)์˜ ๋†’์€ ์‹ ๋ขฐ์„ฑ๊ณผ ํšจ์œจ ์œ ์ง€๊ฐ€ ํ•„์ˆ˜์ ์ด๋‹ค [3,4]. ์ด๋Ÿฌํ•œ PCS์˜ ์„ฑ๋Šฅ์€ ๋‚ด๋ถ€ ์ „๋ ฅ ํšŒ๋กœ๋ฅผ ๊ตฌ์„ฑํ•˜๋Š” ํ•ต์‹ฌ ์ˆ˜๋™์†Œ์ž์˜ ํŠน์„ฑ์— ํฌ๊ฒŒ ์˜์กดํ•˜๋ฉฐ, ๊ทธ ์ค‘ DC-link ํšŒ๋กœ๋Š” ์ „๋ ฅ ๋ณ€ํ™˜ ๊ณผ์ •์—์„œ์˜ ์ „์•• ๋ณ€๋™์„ ์–ต์ œํ•˜๊ณ  ์—๋„ˆ์ง€ ํ๋ฆ„์„ ์•ˆ์ •์ ์œผ๋กœ ์œ ์ง€ํ•˜๋Š” ์†Œ์ž„์„ ์ˆ˜ํ–‰ํ•œ๋‹ค. DC-link ํšŒ๋กœ๋Š” ๋ชจ๋“ˆ๊ณผ ์ธ๋ฒ„ํ„ฐ ์‚ฌ์ด์—์„œ ์—๋„ˆ์ง€๋ฅผ ์ €์žฅยท์™„์ถฉํ•˜๋ฉฐ DC ๋ฒ„์Šค ์ „์••์„ ์•ˆ์ •ํ™”ํ•˜๊ณ , DC-link ์ปคํŒจ์‹œํ„ฐ๋Š” ์ „์•• ๋ฆฌํ”Œ ์–ต์ œ, ์Šค์œ„์นญ ๊ณผ๋„ ์‘๋‹ต ์™„ํ™” ๋ฐ ์ „๋ ฅ ํ’ˆ์งˆ ํ™•๋ณด์— ์ง์ ‘์ ์ธ ์˜ํ–ฅ์„ ๋ฏธ์นœ๋‹ค [5-7]. ๊ทธ๋ฆผ 1์€ ํƒœ์–‘๊ด‘ ๋ฐ ํ’๋ ฅ ๊ธฐ๋ฐ˜ ์ „๋ ฅ ๋ณ€ํ™˜ ์‹œ์Šคํ…œ์—์„œ DC-link ํšŒ๋กœ๋ฅผ ๊ฐœ๋…์ ์œผ๋กœ ๋‚˜ํƒ€๋‚ธ ๊ฒƒ์ด๋‹ค.

๊ทธ๋ฆผ 1 ํƒœ์–‘๊ด‘ ๋ฐ ํ’๋ ฅ ๊ธฐ๋ฐ˜ ์ „๋ ฅ ๋ณ€ํ™˜ ์‹œ์Šคํ…œ์—์„œ DC-link ํšŒ๋กœ๋ฅผ ๊ฐœ๋…์ ์œผ๋กœ ๋‚˜ํƒ€๋‚ธ ๋ชจ์‹๋„

Fig. 1 Schematic illustration of the DC-link circuits in renewable energy power conversion systems

../../Resources/kiee/KIEE.2026.75.10.2437/fig1.png

ํ˜„์žฌ DC-link์šฉ ์ปคํŒจ์‹œํ„ฐ์—๋Š” ์•Œ๋ฃจ๋ฏธ๋Š„ ์ „ํ•ด ์ปคํŒจ์‹œํ„ฐ, ๊ธˆ์†ํ™” ํด๋ฆฌํ”„๋กœํ•„๋ Œ (MPP) ํ•„๋ฆ„ ์ปคํŒจ์‹œํ„ฐ ๋ฐ MLCC (multilayer ceramic capacitor)๊ฐ€ ์ฃผ๋กœ ์‚ฌ์šฉ๋œ๋‹ค [5,8,9]. DC-link ์ปคํŒจ์‹œํ„ฐ๋ฅผ ์„ ์ •ํ•  ๋•Œ๋Š” ์ •์ „ ์šฉ๋Ÿ‰๊ณผ ์ •๊ฒฉ ์ „์••๋ฟ๋งŒ ์•„๋‹ˆ๋ผ ์—๋„ˆ์ง€ ์ €์žฅ ๋Šฅ๋ ฅ, ๋ฆฌํ”Œ ์ „๋ฅ˜ ํ—ˆ์šฉ๋Ÿ‰, ESR (equivalent series resistance) ๋ฐ ESL (equivalent series inductance), ๋™์ž‘ ์ฃผํŒŒ์ˆ˜, ์˜จ๋„ ํŠน์„ฑ๊ณผ ์ˆ˜๋ช…์„ ์ข…ํ•ฉ์ ์œผ๋กœ ๊ณ ๋ คํ•ด์•ผ ํ•œ๋‹ค. ์•Œ๋ฃจ๋ฏธ๋Š„ ์ „ํ•ด ์ปคํŒจ์‹œํ„ฐ๋Š” ํฐ ์ •์ „ ์šฉ๋Ÿ‰๊ณผ ์—๋„ˆ์ง€ ์ €์žฅ ๋Šฅ๋ ฅ ๋ฐ ๋น„์šฉ ์ธก๋ฉด์˜ ์žฅ์ ์„ ๊ฐ€์ง€๋ฏ€๋กœ ์ €์ฃผํŒŒ ๋ฆฌํ”Œ ์™„ํ™”์™€ ๋Œ€์šฉ๋Ÿ‰ ์—๋„ˆ์ง€ ์ €์žฅ์— ๋„๋ฆฌ ์‚ฌ์šฉ๋œ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ์ƒ๋Œ€์ ์œผ๋กœ ๋†’์€ ESR๊ณผ ์ œํ•œ์ ์ธ ๋ฆฌํ”Œ ์ „๋ฅ˜ ํ—ˆ์šฉ๋Ÿ‰์„ ๊ฐ€์ง€๋ฉฐ, ์ „ํ•ด์•ก ์ฆ๋ฐœ์— ๋”ฐ๋ฅธ ์ˆ˜๋ช… ์ œ์•ฝ์ด ์กด์žฌํ•œ๋‹ค [5,9]. MPP ํ•„๋ฆ„ ์ปคํŒจ์‹œํ„ฐ๋Š” ๋‚ฎ์€ ESR, ๋†’์€ ๋ฆฌํ”Œ ์ „๋ฅ˜ ํ—ˆ์šฉ๋Ÿ‰ ๋ฐ self-healing ํŠน์„ฑ์œผ๋กœ ๊ณ ์ „์•• DC-link์— ์ ํ•ฉํ•˜์ง€๋งŒ, ์„ธ๋ผ๋ฏน ์ปคํŒจ์‹œํ„ฐ์™€ ๋น„๊ตํ•˜์—ฌ ์ƒ๋Œ€์ ์œผ๋กœ ํฐ ์‹ค์žฅ ๋ถ€ํ”ผ๊ฐ€ ์š”๊ตฌ๋  ์ˆ˜ ์žˆ๋‹ค [5,9]. MLCC๋Š” ์ž‘์€ ํฌ๊ธฐ์™€ ๋‚ฎ์€ ESR ๋ฐ ESL๋กœ ๊ณ ์ฃผํŒŒ ๋ฆฌํ”Œ ์–ต์ œ์— ์œ ๋ฆฌํ•˜์ง€๋งŒ, DC bias์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰ ๊ฐ์†Œ์™€ ๊ธฐ๊ณ„์  ์‘๋ ฅ์— ์˜ํ•œ ๊ท ์—ด ๊ฐ€๋Šฅ์„ฑ์ด ๋‹จ์ ์œผ๋กœ ์ง€์ ๋œ๋‹ค [9-14]. ๋‹ค๋งŒ ์ด๋Ÿฌํ•œ ํŠน์„ฑ์€ ์ •๊ฒฉ ์ „์••, ์ •์ „ ์šฉ๋Ÿ‰, ํŒจํ‚ค์ง€ ๊ตฌ์กฐ ๋ฐ ๋™์ž‘ ์กฐ๊ฑด์— ๋”ฐ๋ผ ๋‹ฌ๋ผ์ง€๋ฏ€๋กœ, ์„œ๋กœ ๋‹ค๋ฅธ ๋ฌธํ—Œ์ด๋‚˜ ์ƒ์šฉ ์ œํ’ˆ์˜ ์ˆ˜์น˜๋ฅผ ๋™์ผํ•œ ์กฐ๊ฑด์˜ ์„ฑ๋Šฅ ๊ฐ’์œผ๋กœ ์ง์ ‘ ๋น„๊ตํ•˜๊ธฐ์—๋Š” ํ•œ๊ณ„๊ฐ€ ์žˆ๋‹ค.

PLZT๋Š” ๊ฐ ๋ฌผ์งˆ์˜ ์กฐ์„ฑ๋น„์— ๋”ฐ๋ผ Pโ€“E (polarizationโ€“electric field) ํŠน์„ฑ์ด ๋„“์€ ๋ฒ”์œ„์—์„œ ์กฐ์ ˆํ•  ์ˆ˜ ์žˆ์œผ๋ฉฐ, Haertling์˜ ๋ณด๊ณ ์— ๋”ฐ๋ฅด๋ฉด ๋ฐ˜๊ฐ•์œ ์ „์ฒดโ€“๊ฐ•์œ ์ „์ฒด ์ƒ์ „์ด์™€ relaxor ํŠน์„ฑ์ด ๋™์ž‘ ์ „๊ธฐ์žฅ์— ๋”ฐ๋ผ ๋šœ๋ ทํ•˜๊ฒŒ ๋‚˜ํƒ€๋‚œ๋‹ค [15]. ์ด๋Ÿฌํ•œ ์ƒ์ „์ด ๊ฑฐ๋™์€ ์ด์ค‘ ํžˆ์Šคํ…Œ๋ฆฌ์‹œ์Šค ํ˜•ํƒœ์˜ P-E ์‘๋‹ต์œผ๋กœ ๋‚˜ํƒ€๋‚˜๋ฉฐ, ๋‚ฎ์€ ์ž”๋ฅ˜ ๋ถ„๊ทน [16,17]๊ณผ ๋†’์€ ํšŒ์ˆ˜ ์—๋„ˆ์ง€ ํšจ์œจ [18,19]์„ ํ™•๋ณดํ•˜๊ธฐ์— ์œ ๋ฆฌํ•œ ๊ตฌ์กฐ์  ํŠน์„ฑ์„ ์ œ๊ณตํ•œ๋‹ค.

์ตœ๊ทผ ์—๋„ˆ์ง€ ์ €์žฅ์šฉ ์œ ์ „์ฒด์— ๋Œ€ํ•œ ๊ณ ์ „๊ณ„ ์—ฐ๊ตฌ์—์„œ๋Š” PLZT ๊ธฐ๋ฐ˜ ์„ธ๋ผ๋ฏน ๋ฐ•๋ง‰์ด ๋†’์€ ํ•ญ๋ณต ์ „๊ณ„ [20,21]์™€ ์šฐ์ˆ˜ํ•œ ์˜จ๋„ ์•ˆ์ •์„ฑ์„ ๊ฐ€์ ธ ๊ณ ์—๋„ˆ์ง€ ์ €์žฅ ์†Œ์ž๋กœ์„œ์˜ ๊ฐ€๋Šฅ์„ฑ์„ ๊ฐ–๋Š” ๊ฒƒ์œผ๋กœ ํ‰๊ฐ€๋˜๊ณ  ์žˆ์œผ๋ฉฐ [16,17], PLZT ๋ฐ•๋ง‰ ๊ตฌ์กฐ๊ฐ€ ์ˆ˜์‹ญ $\text{J/cm}^3$ ์ˆ˜์ค€์˜ ์—๋„ˆ์ง€ ๋ฐ€๋„๋ฅผ ๋‹ฌ์„ฑํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ๊ฒฐ๊ณผ๋„ ๋ณด๊ณ ๋˜์—ˆ๋‹ค [22]. ์—๋„ˆ์ง€ ๋ฐ€๋„๋Š” P-E ๊ณก์„ ์„ ์ ๋ถ„ํ•˜์—ฌ ๊ตฌํ•  ์ˆ˜ ์žˆ๋‹ค.

๋˜ํ•œ PLZT๋Š” ๋†’์€ ์œ ์ „ ๊ฐ•๋„ (dielectric strength)๋ฅผ ํ™•๋ณดํ•  ์ˆ˜ ์žˆ์–ด ๊ณ ์ „์•• ์Šคํƒ ๊ตฌ์กฐ์—์„œ $\text{BaTiO}_3$ ๊ธฐ๋ฐ˜ MLCC ๋Œ€๋น„ ์œ ๋ฆฌํ•œ ๋‚ด์ „์•• ํŠน์„ฑ์„ ๊ฐ€์ง„๋‹ค๋Š” ์—ฐ๊ตฌ๋„ ์ œ์‹œ๋˜์–ด ์žˆ๋‹ค [23,24]. ๊ทธ๋ฆผ 2๋Š” ์„ ํ˜• ์œ ์ „์ฒด, ๊ฐ•์œ ์ „์ฒด ๋ฐ ๋ฐ˜๊ฐ•์œ ์ „์ฒด์˜ ์ด์ƒ์  Pโ€“E ํŠน์„ฑ์„ ๋น„๊ตํ•˜์—ฌ PLZT ๊ธฐ๋ฐ˜ ์žฌ๋ฃŒ์˜ ์ „๊ณ„ ์˜์กด์  ์ƒ์ „์ด ํŠน์„ฑ์„ ๊ฐœ๋…์ ์œผ๋กœ ์ œ์‹œํ•œ๋‹ค [25].

๊ทธ๋ฆผ 2 PLZT ๊ธฐ๋ฐ˜ ์žฌ๋ฃŒ์˜ ๋ถ„๊ทน ๊ฑฐ๋™ ์ดํ•ด๋ฅผ ์œ„ํ•œ (a) ์„ ํ˜• ์œ ์ „์ฒด, (b) ๊ฐ•์œ ์ „์ฒด, (c) ๋‚ฎ์€ ์ „๊ธฐ์žฅ ํ•˜์˜ ๋ฐ˜๊ฐ•์œ ์ „์ฒด, (d) ๋†’์€ ์ „๊ธฐ์žฅ ํ•˜์˜ ๋ฐ˜๊ฐ•์œ ์ „์ฒด ๋ชจ์‹๋„ ๋ฐ (e) ์ด๋“ค์˜ ์ด์ƒ์ ์ธ Pโ€“E ํŠน์„ฑ ์ •์„ฑ์  ๋น„๊ต

Fig. 2 Schematic illustrations of (a) linear dielectrics, (b) ferroelectrics, (c) antiferroelectrics under low electric field, and (d) antiferroelectrics under high electric field, along with (e) a qualitative comparison of their ideal Pโ€“E characteristics to understand the polarization behavior of PLZT-based materials

../../Resources/kiee/KIEE.2026.75.10.2437/fig2.png

๊ทธ๋ฆผ 2(a)๋Š” ์„ ํ˜• ์œ ์ „์ฒด์˜ ๋ถ„๊ทน ๊ฑฐ๋™์„ ๋‚˜ํƒ€๋‚ด๋ฉฐ, ์™ธ๋ถ€ ์ „๊ธฐ์žฅ์— ์˜ํ•ด ์œ ๋„๋œ ๋ถ„๊ทน์ด ์ „๊ธฐ์žฅ์— ๋น„๋ก€ํ•˜์—ฌ ์„ ํ˜•์ ์œผ๋กœ ์ฆ๊ฐ€ํ•˜๊ณ  ์ „๊ธฐ์žฅ ์ œ๊ฑฐ ์‹œ ์ž”๋ฅ˜ ๋ถ„๊ทน์ด ์กด์žฌํ•˜์ง€ ์•Š๋Š” ์ด์ƒ์ ์ธ ์‘๋‹ต์„ ๋ณด์—ฌ์ค€๋‹ค [26]. ๊ทธ๋ฆผ 2(b)๋Š” ๊ฐ•์œ ์ „์ฒด์˜ ๋ถ„๊ทน ๊ฑฐ๋™์„ ๋‚˜ํƒ€๋‚ด๋ฉฐ, ์ž๋ฐœ ๋ถ„๊ทน์˜ ์กด์žฌ๋กœ ์ธํ•ด ์ „๊ธฐ์žฅ ๋ณ€ํ™”์— ๋”ฐ๋ผ ๋น„์„ ํ˜•์ ์ธ ๋ถ„๊ทน ์‘๋‹ต๊ณผ ์ž”๋ฅ˜ ๋ถ„๊ทน์ด ๋ฐœ์ƒํ•˜๋Š” ํŠน์„ฑ์„ ๊ฐœ๋žต์ ์œผ๋กœ ํ‘œํ˜„ํ•˜์˜€๋‹ค [26]. ๊ทธ๋ฆผ 2(c)์™€ (d)๋Š” ๋ฐ˜๊ฐ•์œ ์ „์ฒด์˜ ๋ถ„๊ทน ๊ฑฐ๋™์„ ๊ฐ๊ฐ ๋‚ฎ๊ณ  ๋†’์€ ์ „๊ณ„ ์กฐ๊ฑด์—์„œ ๋‚˜ํƒ€๋‚ธ ๊ฒƒ์œผ๋กœ, ๋‚ฎ์€ ์ „๊ณ„์—์„œ๋Š” ์ธ์ ‘ํ•œ ์Œ๊ทน์ž์˜ ๋ฐ˜๋Œ€ ๋ฐฉํ–ฅ ์ •๋ ฌ๋กœ ์ธํ•ด ์ˆœ ๋ถ„๊ทน์ด ์ œํ•œ๋˜๋‚˜, ์ž„๊ณ„ ์ „๊ณ„ ์ด์ƒ์—์„œ๋Š” ์ „๊ณ„ ์œ ๋„ ์ƒ์ „์ด์— ์˜ํ•ด ๋ถ„๊ทน์ด ๊ธ‰๊ฒฉํžˆ ์ฆ๊ฐ€ํ•˜๋Š” ํŠน์„ฑ์„ ๋ณด์—ฌ์ค€๋‹ค [26,27]. ์ด๋Ÿฌํ•œ ๋ฐ˜๊ฐ•์œ ์ „์ฒด์˜ ์ „๊ธฐ์žฅ ์˜์กด์  ์ƒ์ „์ด ๊ฑฐ๋™์€ ๊ทธ๋ฆผ 2(e)์— ๋‚˜ํƒ€๋‚ธ Pโ€“E ๊ณก์„ ์—์„œ ์ด์ค‘ ํžˆ์Šคํ…Œ๋ฆฌ์‹œ์Šค ํ˜•ํƒœ๋กœ ๊ฐœ๋…์ ์œผ๋กœ ํ‘œํ˜„๋˜๋ฉฐ [28], ์ด๋Š” PLZT ๊ธฐ๋ฐ˜ ์žฌ๋ฃŒ๊ฐ€ ์ผ๋ฐ˜์ ์ธ ์„ ํ˜• ์œ ์ „์ฒด ๋ฐ ๊ฐ•์œ ์ „์ฒด์™€ ๊ตฌ๋ณ„๋˜๋Š” ์ „๊ธฐ์  ํŠน์„ฑ์„ ๊ฐ–๋Š” ๋ฐฐ๊ฒฝ์„ ์„ค๋ช…ํ•œ๋‹ค.

๋‹ค๋งŒ ๊ธฐ์กด ์—ฐ๊ตฌ๋Š” ๋Œ€๋ถ€๋ถ„ ์ˆ˜๋ฐฑ kV/cm ์ „๊ณ„ ์ธ๊ฐ€ ํ›„ C-V์™€ ์—๋„ˆ์ง€ ์ €์žฅ ์„ฑ๋Šฅ ํ‰๊ฐ€์— ์ง‘์ค‘๋˜์–ด ์žˆ์œผ๋ฉฐ, ์‹ค์ œ ํƒœ์–‘๊ด‘ ๋ฐœ์ „ ์‹œ์Šคํ…œ์˜ DC-link ํ™˜๊ฒฝ์€ ์žฅ์‹œ๊ฐ„ DC ์ „์••์˜ ๋ฐ˜๋ณต ์šด์ „์ด ์ผ๋ฐ˜์ ์ด๋ฏ€๋กœ ๊ธฐ์กด ์—ฐ๊ตฌ [29,30]๋กœ๋Š” ์‹ค์‚ฌ์šฉ ๊ด€์ ์˜ ์ „๊ธฐ์  ํŠน์„ฑ ํ‰๊ฐ€๊ฐ€ ์ถฉ๋ถ„ํ•˜์ง€ ์•Š๋‹ค.

๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ์ƒ์šฉ $V_R = 500\text{ V}$ PLZT ์ปคํŒจ์‹œํ„ฐ๋ฅผ ๋Œ€์ƒ์œผ๋กœ DC ์ „์•• ๋ฐ ์ฃผํŒŒ์ˆ˜์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰, ์ž„ํ”ผ๋˜์Šค, ESR, ์†์‹ค๋ฅ  ($\tan\delta$)๊ณผ DC ์ ˆ์—ฐ ํŒŒ๊ดด ํŠน์„ฑ์„ ํ‰๊ฐ€ํ•˜์˜€๋‹ค. ์ด๋ฅผ ํ†ตํ•ด PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ „๊ณ„ ๋ฐ ์ฃผํŒŒ์ˆ˜ ์˜์กด์  ์ „๊ธฐ ํŠน์„ฑ์„ ํ™•์ธํ•˜๊ณ , DC-link ์‘์šฉ์—์„œ ๊ณ ๋ ค๋˜๋Š” PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ฃผํŒŒ์ˆ˜ ์‘๋‹ต, ์ „์•• ์˜์กด์  ์ •์ „ ์šฉ๋Ÿ‰, ์†์‹ค ๋ฐ ๊ธฐ์ดˆ์ ์ธ ์ ˆ์—ฐ ํŠน์„ฑ์— ๊ด€ํ•œ ์ „๊ธฐ์  ๋ฐ์ดํ„ฐ๋ฅผ ์ œ์‹œํ•˜๊ณ ์ž ํ•œ๋‹ค. ๋ณธ ์—ฐ๊ตฌ๋Š” ๊ฐœ๋ณ„ ์ปคํŒจ์‹œํ„ฐ์˜ ๊ธฐ์ดˆ ํŠน์„ฑ ํ‰๊ฐ€์— ํ•ด๋‹นํ•˜๋ฉฐ, ์‹ค์ œ ๊ณ ์ „์•• DC-link ์‹œ์Šคํ…œ ์ ์šฉ์„ ์œ„ํ•ด์„œ๋Š” ์งยท๋ณ‘๋ ฌ ๊ตฌ์„ฑ, ์ „์•• ๊ท ๋“ฑํ™”, ์—ด์  ํŠน์„ฑ ๋ฐ ์žฅ๊ธฐ ์‹ ๋ขฐ์„ฑ์— ๋Œ€ํ•œ ์ถ”๊ฐ€ ๊ฒ€์ฆ์ด ํ•„์š”ํ•˜๋‹ค.

2. ๋ณธ ๋ก 

๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” PLZT ๋ฐ˜๊ฐ•์œ ์ „์ฒด ์„ธ๋ผ๋ฏน ์ปคํŒจ์‹œํ„ฐ์˜ ์ฃผํŒŒ์ˆ˜ ์‘๋‹ต ํŠน์„ฑ๊ณผ DC ์ „์••์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰ ๋ณ€ํ™”, DC ํ•ญ๋ณต ์ „์•• ํŠน์„ฑ์„ ์‹œํŽธ์˜ ๋””์—์ด์ง• (de-aging)์„ ์œ„ํ•˜์—ฌ 150 ยฐC์—์„œ 1์‹œ๊ฐ„ ์—ด์ฒ˜๋ฆฌ๋ฅผ ์ˆ˜ํ–‰ํ•œ ํ›„ ์ƒ์˜จ์—์„œ 48์‹œ๊ฐ„ ์•ˆ์ •ํ™” ๊ณผ์ •์„ ๊ฑฐ์นœ ๋’ค ์ธก์ •ํ•˜์˜€๋‹ค. DC ์ „์••์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰ ์ธก์ •์— ๋””์—์ด์ง•์„ ์ˆ˜ํ–‰ํ•œ ์†Œ์ž์™€ ์ˆ˜ํ–‰ํ•˜์ง€ ์•Š๋Š” ์†Œ์ž ๋ชจ๋‘ ์ธก์ •ํ•˜์˜€๋‹ค.

๋ณธ ์—ฐ๊ตฌ์— ์‚ฌ์šฉ๋œ PLZT ์ปคํŒจ์‹œํ„ฐ๋Š” ๋™์ž‘ ์ „์••, $V_{op} = 400\text{ V}$ (operating voltage), ์œ ํšจ ์ •์ „ ์šฉ๋Ÿ‰, $C_{eff,typ} = 150\text{ nF}$ (typical effective capacitance at $V_{op}$, $0.5\text{ V}_{AC}$, 1 kHz, 25ยฐC)์ด๋ฉฐ, ์ •๊ฒฉ ์ „์••, $V_R = 500\text{ V}$ (rated voltage)์ด๋‹ค [31]. ์ผ๋ฐ˜์ ์ธ ์ปคํŒจ์‹œํ„ฐ๋Š” ์ •๊ฒฉ ์ „์••๊ณผ ์ •์ „ ์šฉ๋Ÿ‰์ด ํ•˜๋‚˜์˜ ๊ฐ’์œผ๋กœ ์ •์˜๋˜์ง€๋งŒ, PLZT ์ปคํŒจ์‹œํ„ฐ๋Š” ๋น„์„ ํ˜• ์œ ์ „ ํŠน์„ฑ์œผ๋กœ ์ธํ•ด ์ „์•• ์กฐ๊ฑด์— ๋”ฐ๋ผ ์ •์ „ ์šฉ๋Ÿ‰์ด ๋‹ฌ๋ผ์ง„๋‹ค. PLZT ์ปคํŒจ์‹œํ„ฐ์—์„œ $V_R$์€ ์ ˆ์—ฐ ๋ฐ ์‹ ๋ขฐ์„ฑ ๊ธฐ์ค€์— ๋”ฐ๋ฅธ ์ตœ๋Œ€ ์ „์••์„ ์˜๋ฏธํ•˜๋ฉฐ, ์žฅ๊ธฐ๊ฐ„ ์ „์•• ์ธ๊ฐ€ ์‹œ ์ ˆ์—ฐ ํŒŒ๊ดด ๋ฐ ์—ดํ™”๊ฐ€ ๋ฐœ์ƒํ•˜์ง€ ์•Š๋„๋ก ๋ณด์žฅํ•˜๋Š” ์ „์•• ํ•œ๊ณ„์ด๋‹ค. ์ด๋Š” ๊ธฐ์กด ์ปคํŒจ์‹œํ„ฐ์˜ ์ •๊ฒฉ ์ „์•• ๊ฐœ๋…๊ณผ์˜ ํ˜ธํ™˜์„ฑ์„ ์œ„ํ•ด ์ •์˜๋œ ๊ฐ’์ด๋‹ค. ๋”ฐ๋ผ์„œ ํšŒ๋กœ ์„ค๊ณ„ ์‹œ $V_R$ ์กฐ๊ฑด์—์„œ $C_{eff,typ}$ ๊ฐ’์„ ๊ธฐ์ค€์œผ๋กœ ๋ถ€ํ’ˆ์„ ์„ ์ •ํ•˜๋ฉด ๊ณผ๋Œ€ ์„ค๊ณ„๊ฐ€ ๋  ์ˆ˜ ์žˆ๋‹ค. PLZT ์ปคํŒจ์‹œํ„ฐ์—์„œ๋Š” ์ •๊ฒฉ ์ „์••๋ณด๋‹ค ๋™์ž‘ ์ „์•• $V_{op}$์ด ๋”์šฑ ์ค‘์š”ํ•œ ์„ค๊ณ„ ๊ธฐ์ค€์ด๋‹ค. $V_{op}$๋Š” PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ๋น„์„ ํ˜• ์œ ์ „ ํŠน์„ฑ์„ ๊ณ ๋ คํ•˜์—ฌ ์‹ค์ œ ๋™์ž‘ ์ „๊ณ„๋ฅผ ํ˜•์„ฑํ•˜๋Š” DC ์ „์••์œผ๋กœ, ๋Œ€๋ถ€๋ถ„์˜ ์ „๊ธฐ์  ํŒŒ๋ผ๋ฏธํ„ฐ๊ฐ€ ์ด ์ „์••์—์„œ ์ •์˜๋œ๋‹ค. ์ผ๋ฐ˜์ ์œผ๋กœ $V_{op}$๋Š” $V_R$์˜ ์•ฝ 0.5 โ€“ 0.7 ๋ฐฐ ์ˆ˜์ค€์—์„œ ์„ค์ •๋˜๋ฉฐ, ์„ค๊ณ„ ๋งˆ์ง„์— ๋”ฐ๋ผ ์ฐจ์ด๊ฐ€ ๋ฐœ์ƒํ•  ์ˆ˜ ์žˆ๋‹ค.

PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ •์ „ ์šฉ๋Ÿ‰์€ $C_0$, $C_{eff,typ}$ ๋ฐ $C_{nom,typ}$, ์„ธ ๊ฐ€์ง€๋กœ ๊ตฌ๋ถ„๋œ๋‹ค. $C_0$๋Š” DC ์ „์••์ด ์ธ๊ฐ€๋˜์ง€ ์•Š์€, ์ฆ‰, ํžˆ์Šคํ…Œ๋ฆฌ์‹œ์Šค ๋ฐœ์ƒ ์ „ ์ •์ „ ์šฉ๋Ÿ‰์„ ์˜๋ฏธํ•œ๋‹ค. $C_{eff,typ}$๋Š” ์‹ค์ œ ๋™์ž‘ ์ „์•• ($V_{op}$) ํ•˜์—์„œ์˜ ์œ ํšจ ์ •์ „ ์šฉ๋Ÿ‰์œผ๋กœ, ๋™์ž‘ ์ฃผํŒŒ์ˆ˜ ๋Œ€์—ญ์—์„œ์˜ ๋ฏธ๋ถ„ ์ •์ „ ์šฉ๋Ÿ‰ (differential capacitance)์ด๋‹ค. ์ผ๋ฐ˜์ ์œผ๋กœ ์‹ค์ œ ๋™์ž‘ ์กฐ๊ฑด์—์„œ์˜ AC ์„ฑ๋Šฅ์„ ๊ฐ€์žฅ ์ž˜ ๋ฐ˜์˜ํ•˜๋Š” ๋Œ€ํ‘ฏ๊ฐ’์œผ๋กœ ํ™œ์šฉ๋œ๋‹ค.

์ด์— ๋น„ํ•ด $C_{nom,typ}$ (typical effective nominal capacitance)๋Š” ์ œ์กฐ์‚ฌ๋งˆ๋‹ค ์ •์˜ํ•˜๋Š” ์กฐ๊ฑด์ด ์ƒ์ดํ•  ์ˆ˜ ์žˆ๋‹ค. ์˜ˆ์ปจ๋Œ€ $C_{eff,typ}$๋Š” ์‹ค์ œ AC ์ธก์ •์น˜๋ฅผ ๊ธฐ๋ฐ˜์œผ๋กœ ํ•˜์ง€๋งŒ $C_{nom,typ}$๋Š” ๋งค์šฐ ๋А๋ฆฐ ์ฃผํŒŒ์ˆ˜์ธ quasi-static ์ƒํƒœ์—์„œ์˜ ํ‰๊ท ๊ฐ’์„ ๊ธฐ์ค€์œผ๋กœ ํ•œ๋‹ค. ๋”ฐ๋ผ์„œ $C_{nom,typ}$์€ ์ •๋Ÿ‰์  ํ‘œ๊ธฐ๋˜๋Š” ๋ช…๋ชฉ์ƒ ์ˆ˜์น˜์ด์ž ์ด๋ก ๊ฐ’์— ๊ฐ€๊น๋‹ค. ์‹ค์ œ ์‚ฌ์šฉ ํ™˜๊ฒฝ์„ ๋ฐ˜์˜ํ•˜๊ธฐ๋ณด๋‹ค๋Š” ๊ทœ๊ฒฉ์„œ์ƒ์˜ ํ‘œ๊ธฐ๋‚˜ ์ œ์กฐ์‚ฌ ๊ฐ„ ๋น„๊ต๋ฅผ ์œ„ํ•ด ๊ธฐ์กด ์ปคํŒจ์‹œํ„ฐ์˜ ์ •์ „ ์šฉ๋Ÿ‰ ๊ทœ๊ฒฉ์— ๋Œ€์‘์‹œํ‚จ ๊ฐ’์ด๊ธฐ ๋•Œ๋ฌธ์ด๋‹ค. ๊ฒฐ๋ก ์ ์œผ๋กœ, ์‹ค์ œ AC ๋™์ž‘ ํŠน์„ฑ์„ ๋ถ„์„ํ•  ๋•Œ๋Š” $C_{eff,typ}$๋ฅผ ์ง€ํ‘œ๋กœ ์‚ผ๋Š” ๊ฒƒ์ด ๋” ํ˜„์‹ค์ ์ด๋‹ค. ์ •๋ฆฌํ•˜๋ฉด $C_{nom,typ}$๋Š” ์ˆ˜๋งŽ์€ ๋‹ค๋ฅธ ์ปคํŒจ์‹œํ„ฐ์™€ ์šฉ๋Ÿ‰์„ ๋น„๊ตํ•˜๊ธฐ ์œ„ํ•ด์„œ ์‚ฌ์šฉํ•˜๋ฉฐ ๊ทธ๋ฆฌ๊ณ  ๋ฐ˜๊ฐ•์œ ์ „์ฒด๊ฐ€ ํŠน์ • DC ์ „์••์—์„œ ์œ ์ „ ๋ถ„๊ทน์ด ํญ๋ฐœ์ ์œผ๋กœ ์ผ์–ด๋‚˜๋Š” ๊ตฌ๊ฐ„์—์„œ $dQ/dV$์—์„œ ์–ป์œผ๋ฉฐ, ์ž๋™์ฐจ๋กœ ๋น„์œ ํ•˜๋ฉด $C_{nom,typ}$๋Š” ์ตœ๊ณ  ์†๋„, $C_{eff,typ}$๋Š” ํ‰๊ท  ์†๋„๋ฅผ ์˜๋ฏธํ•œ๋‹ค (์‹ค์ œ ์šดํ–‰ ์‹œ ์œ ํšจ ๋Šฅ๋ ฅ). DC link๋‚˜ snubber ํšŒ๋กœ ์„ค๊ณ„ ์‹œ ์ปคํŒจ์‹œํ„ฐ๊ฐ€ ๊ฐ€์ง€๋Š” ์—๋„ˆ์ง€๋ฅผ ๊ณ„์‚ฐํ•  ๋•Œ $E = 1/2 \cdot C_{eff,typ} V^2$๋กœ ๊ณ„์‚ฐํ•˜๋Š” ๊ฒƒ์ด ํƒ€๋‹นํ•˜๋‹ค.

๋ณธ ์—ฐ๊ตฌ์— ์ด์šฉํ•œ PLZT ์ปคํŒจ์‹œํ„ฐ์˜ $C_{nom,typ}$์€ 250 nF์ด๋‹ค. ๋ชจ๋“  ์‹คํ—˜์€ ์ƒ์˜จ์—์„œ ์ˆ˜ํ–‰๋˜์—ˆ๋‹ค. ์ฃผํŒŒ์ˆ˜์— ๋Œ€ํ•œ LCR ์ธก์ •์€ ๋‘ ์†Œ์ž๋ฅผ ์ด์šฉํ•˜์˜€์œผ๋‚˜, ์œ ์˜๋ฏธํ•œ ์ฐจ์ด๊ฐ€ ์—†์–ด์„œ ํ•œ ์†Œ์ž์˜ ๊ฒฐ๊ณผ๋งŒ ๋„ฃ์—ˆ๊ณ , ์ ˆ์—ฐ ํŒŒ๊ดด ์ธก์ •์€ ํ•œ ์†Œ์ž ๊ฒฐ๊ณผ๋ฅผ ๋„ฃ์—ˆ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์— ์“ฐ์ธ PLZT ์ปคํŒจ์‹œํ„ฐ๋“ค์€ ๊ทธ๋ฆผ 3๊ณผ ๊ฐ™๋‹ค. ์ฃผํŒŒ์ˆ˜์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰, ์ž„ํ”ผ๋˜์Šค, ESR ๋ฐ $\tan\delta$์€ LCR meter (E4980A, Keysight Technologies, Santa Rosa, CA, U.S.A)๋ฅผ ์ด์šฉํ•˜์—ฌ ์ธก์ •ํ•˜์˜€๋‹ค. DC ์ „์••์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰ ๋ณ€ํ™”๋Š” electrometer (B2985B, Keysight Technologies, Santa Rosa, CA, U.S.A)์™€ LCR meter (E4980A, Keysight Technologies, Santa Rosa, CA, U.S.A) ์‚ฌ์ด์— ์™ธ๋ถ€ bias-T๋ฅผ ๊ฒฐํ•ฉํ•˜์—ฌ ์ธก์ •ํ•˜์˜€๋‹ค.

๊ทธ๋ฆผ 3 ๋ณธ ์—ฐ๊ตฌ์— ์ด์šฉ๋œ VR = 500 V, Cnom.typ = 250 nF PLZT ์ปคํŒจ์‹œํ„ฐ

Fig. 3 VR = 500 V, Cnom.typ = 250 nF PLZT capacitors used in this study

../../Resources/kiee/KIEE.2026.75.10.2437/fig3.png

์ธก์ • ํ™˜๊ฒฝ ๋ฐ DC ์ „์•• ์ธ๊ฐ€์— ์˜ํ•ด ์ปคํŒจ์‹œํ„ฐ ์œ ์ „์ฒด์˜ ๊ฒฐ์ • ๊ตฌ์กฐ ๋˜๋Š” ์ƒ (phase)์ด ๋ณ€ํ™”ํ•  ์ˆ˜ ์žˆ์œผ๋ฉฐ, ์ด๋Ÿฌํ•œ ์š”์ธ์€ ๋ฐ˜๋ณต ์ธก์ • ์‹œ ์ธก์ •๊ฐ’ ๋ณ€๋™์˜ ์›์ธ์ด ๋  ์ˆ˜ ์žˆ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ ์ฃผํŒŒ์ˆ˜ ํŠน์„ฑ์€ DC ์ „์••์„ $1\text{ V}_{DC}$๋กœ ์„ค์ •ํ•˜๊ณ  AC ์ „์••์€ $0.5\text{ V}_{rms}$ ์กฐ๊ฑด์—์„œ ์ธก์ •์„ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ์ธก์ • ์ฃผํŒŒ์ˆ˜ ๋ฒ”์œ„๋Š” 20 Hz์—์„œ $2 \times 10^6\text{ Hz}$๊นŒ์ง€๋กœ ์„ค์ •ํ•˜์˜€๋‹ค. ์†Œ์ž ๊ฐ„ ์ •์ „ ์šฉ๋Ÿ‰ ํŽธ์ฐจ๋Š” $C_0$๋ฅผ ๊ธฐ์ค€์œผ๋กœ ยฑ20%์˜€๋‹ค. DC ์ „์••์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰ ๋ณ€ํ™”๋Š” AC ์ „์••์€ $0.5\text{ V}_{rms}$, ์ธก์ • ์ฃผํŒŒ์ˆ˜ 1 kHz์—์„œ DC ์ „์••์„ 0์—์„œ 500 V๊นŒ์ง€ spot (์Šคํ… ์ „์•• = 25 V) ๋ฐ sweep (์Šคํ… ์ „์•• = 10 V) ํ•˜์—ฌ ๋ฐฉ์‹์œผ๋กœ ๊ฐ 1ํšŒ์”ฉ ์ธก์ •ํ•˜์˜€๋‹ค. ๊ทธ๋ฆผ 4๋Š” $1\text{ V}_{DC}$์—์„œ ์—ฌ๋Ÿฌ ์ฃผํŒŒ์ˆ˜์—์„œ ์ธก์ •๋œ ์ปคํŒจ์‹œํ„ด์Šค, ๊ทธ๋ฆผ 5๋Š” $V_{DC}$์— ๋”ฐ๋ฅธ ์ธก์ •๋œ ์ •์ „ ์šฉ๋Ÿ‰ ๋ฐ ๊ทธ๋ฆผ 6์€ ์ธก์ •๋œ ์ž„ํ”ผ๋˜์Šค ๋ฐ ESR, ๊ทธ๋ฆผ 7์€ ์ธก์ •๋œ $\tan\delta$์ด๋‹ค.

๊ทธ๋ฆผ 5์˜ ์†Œ์ž 1๊ณผ 2์˜ ์ฐจ์ด๋Š” PLZT ์ปคํŒจ์‹œํ„ฐ ์ธก์ • ์ „ 150 ยฐC์—์„œ ์—ด์ฒ˜๋ฆฌ ๊ณต์ •์˜ ์œ ๋ฌด์ด๋‹ค. ์„ธ๋ผ๋ฏน ์ปคํŒจ์‹œํ„ฐ๋Š” ์ผ๋ฐ˜ ์‹ค๋ฆฌ์ฝ˜ ๋ฐ˜๋„์ฒด์™€ ๋‹ฌ๋ฆฌ ๊ณต์žฅ์—์„œ ์ œ์ž‘ ํ›„ ์‚ฌ์šฉ์ž์—๊ฒŒ ์ „๋‹ฌ๊นŒ์ง€ ๊ฑธ๋ฆฌ๋Š” ์‹œ๊ฐ„์œผ๋กœ ์ธํ•ด ์ „๊ธฐ์  ํŠน์„ฑ์ด ๋ณ€ํ•˜๋Š” time aging์ด ์žˆ๋‹ค. ์ด๋Š” ์‹œ๊ฐ„์— ๋”ฐ๋ผ ์„ธ๋ผ๋ฏน ๊ตฌ์กฐ์˜ phase๊ฐ€ ๋ณ€ํ•˜๋Š” ์ด์œ ๋กœ ๋ฐœ์ƒํ•˜๋ฉฐ, ์ด๋ฅผ ์žฌ์„ค์ •ํ•˜๊ธฐ ์œ„ํ•ด์„œ ์ธก์ • ์ „ ์—ด์„ ์ธ๊ฐ€ํ•˜๋Š” ๊ณต์ •์„ ์ˆ˜ํ–‰ํ•œ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ time aging์˜ ๊ฒฐ๊ณผ ์˜ํ–ฅ์„ ์–ต์ œํ•˜๊ธฐ ์œ„ํ•ด ์ธก์ • ์ „ 150 ยฐC์—์„œ ์—ด์ฒ˜๋ฆฌํ•˜๊ณ  ์ƒ์˜จ์—์„œ ๋ณด๊ด€ ๋’ค ์ธก์ •์„ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ PLZT ์ปคํŒจ์‹œํ„ฐ์˜ time aging์„ ์ฒด๊ณ„์ ์œผ๋กœ ์—ฐ๊ตฌํ•˜๋ ค๋ฉด ๋‹ค์ˆ˜ ์†Œ์ž์— ๋‹ค์–‘ํ•œ ์—ด์ฒ˜๋ฆฌ ์กฐ๊ฑด์œผ๋กœ ์‹œํ—˜์ด ํ•„์š”ํ•˜๋‹ค.

์ธก์ • ์‹œ์Šคํ…œ์˜ ๊ธฐ์ƒ ์„ฑ๋ถ„์ด AC ์ธก์ •์—์„œ ์ธก์ •ํ•œ ์ „๊ธฐ์  ํŠน์„ฑ์— ํฐ ์˜ํ–ฅ์„ ๋ฏธ์น˜๋ฏ€๋กœ ๊ธฐ์ƒ ์„ฑ๋ถ„์„ ์ค„์ธ test fixture (16043E, Keysight Technologies, CA, U.S.A) [32]๋ฅผ ์ด์šฉํ•˜์—ฌ ์ˆ˜ํ–‰๋˜์—ˆ๋‹ค. ๋˜ํ•œ class II MLCC์˜ ์œ ์ „ํก์ˆ˜ (dielectric absorption) ํ˜„์ƒ [33]์€ ํŠน์ • ์ฃผํŒŒ์ˆ˜์—์„œ ์ปคํŒจ์‹œํ„ฐ ํŠน์„ฑ์ด ๋ถˆ์—ฐ์†์ ์œผ๋กœ ์ธก์ •๋˜๋Š” ํ˜•ํƒœ๋กœ ๊ด€์ฐฐ๋˜๊ธฐ๋„ ํ•œ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ๋ณธ ์—ฐ๊ตฌ์—์„œ ์ธก์ •ํ•œ PLZT ์ปคํŒจ์‹œํ„ฐ์—์„œ๋Š” ์ด๋Ÿฌํ•œ ํ˜„์ƒ์ด ๊ด€์ฐฐ๋˜์ง€ ์•Š์•˜๋‹ค. ์ด๋Š” PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์œ ์ „์ฒด ๊ตฌ์กฐ๊ฐ€ class II MLCC์™€ ๋‹ค๋ฅด๊ธฐ ๋•Œ๋ฌธ์ด๋‹ค. ์ฆ‰, ์œ ์ „์ฒด ๋‚ด๋ถ€์˜ RC ๊ฒฝ๋กœ๊ฐ€ ๋‹ค๋ฅด๊ฑฐ๋‚˜ ์œ ์ „ํก์ˆ˜๊ฐ€ ๋ฐœ์ƒํ•˜๋Š” ์ฃผํŒŒ์ˆ˜๊ฐ€ ๋ณธ ์—ฐ๊ตฌ์—์„œ ์ธก์ •ํ•œ ์ตœ๋Œ€ ์ฃผํŒŒ์ˆ˜์ธ 2 MHz๋ณด๋‹ค ๋†’์€ ์˜์—ญ์— ์กด์žฌํ•  ๊ฐ€๋Šฅ์„ฑ์ด ์žˆ๋‹ค. ์ด๋ฅผ ํ™•์ธํ•˜๊ธฐ ์œ„ํ•ด์„œ๋Š” 2 MHz ์ด์ƒ์˜ ์ฃผํŒŒ์ˆ˜ ์˜์—ญ์—์„œ ์ถ”๊ฐ€์ ์ธ ์ •์ „ ์šฉ๋Ÿ‰ ์ธก์ •์ด ํ•„์š”ํ•˜๋‹ค. ์œ ์ „ํก์ˆ˜๊ฐ€ ์ „๋ ฅ ์ „์ž ์‹œ์Šคํ…œ์—์„œ ์ผ๋ฐ˜์ ์œผ๋กœ ์‚ฌ์šฉ๋˜๋Š” ์ฃผํŒŒ์ˆ˜๋ณด๋‹ค ๋†’์€ ์˜์—ญ์—์„œ ๋ฐœ์ƒํ•  ๊ฐ€๋Šฅ์„ฑ์ด ์žˆ๋‹ค๋Š” ์ ์€ ์‘์šฉ ์ธก๋ฉด์—์„œ ๊ธ์ •์ ์œผ๋กœ ํ•ด์„๋  ์ˆ˜ ์žˆ๋‹ค.

LCR ๋ฏธํ„ฐ๋ฅผ ์ด์šฉํ•œ ์ปคํŒจ์‹œํ„ฐ ์ธก์ •์—์„œ๋Š” auto level control (ALC) ๊ธฐ๋Šฅ์˜ ์‚ฌ์šฉ์ด ์ค‘์š”ํ•˜๋‹ค [32]. ALC๋Š” ์ธก์ • ์žฅ๋น„๊ฐ€ ์„ค์ •๋œ ์ „์••์ด ์‹ค์ œ ์ปคํŒจ์‹œํ„ฐ ์–‘๋‹จ์— ์ •ํ™•ํžˆ ์ธ๊ฐ€๋˜๋„๋ก ์ž๋™์œผ๋กœ ์ œ์–ดํ•˜๋Š” ๊ธฐ๋Šฅ์ด๋‹ค. ์ธก์ • ์žฅ๋น„๋Š” ๋‚ด๋ถ€ ์ถœ๋ ฅ ์ž„ํ”ผ๋˜์Šค๋ฅผ ๊ฐ€์ง€๋ฏ€๋กœ ์ปคํŒจ์‹œํ„ฐ ์ž„ํ”ผ๋˜์Šค๊ฐ€ ๋‚ฎ์€ ๊ฒฝ์šฐ ์ „์•• ๋ถ„๋ฐฐ ํšจ๊ณผ๋กœ ์ธํ•ด ์‹ค์ œ ์ธ๊ฐ€์ „์••์ด ๊ฐ์†Œํ•  ์ˆ˜ ์žˆ๋‹ค. ํŠนํžˆ ์„ธ๋ผ๋ฏน ์ปคํŒจ์‹œํ„ฐ๋Š” ์ „์••์— ๋”ฐ๋ผ ์ •์ „ ์šฉ๋Ÿ‰์ด ๋ณ€ํ™”ํ•˜๋ฏ€๋กœ ์ด๋Ÿฌํ•œ ์ „์•• ๊ฐ์†Œ๋Š” ์ธก์ • ๊ฒฐ๊ณผ์— ์˜ํ–ฅ์„ ์ค„ ์ˆ˜ ์žˆ๋‹ค. ALC ๊ธฐ๋Šฅ์„ ํ™œ์„ฑํ™”ํ•˜๋ฉด ์žฅ๋น„๊ฐ€ ์ปคํŒจ์‹œํ„ฐ ์–‘๋‹จ ์ „์••์„ ๋ชจ๋‹ˆํ„ฐ๋งํ•˜๊ณ  ์ถœ๋ ฅ ์‹ ํ˜ธ๋ฅผ ๋ณด์ •ํ•˜์—ฌ ์„ค์ •๋œ ์ „์••์ด ์œ ์ง€๋˜๋„๋ก ์ œ์–ดํ•œ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ALC ์˜ต์…˜์˜ ํ™œ์„ฑํ™” ์—ฌ๋ถ€์— ๋”ฐ๋ฅธ ํŠน์„ฑ ๋ณ€ํ™”๋ฅผ ๋น„๊ตํ•˜์˜€๋‹ค. $V_R = 500\text{ V}$, $C_{nom,typ} = 250\text{ nF}$ PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ •์ „ ์šฉ๋Ÿ‰, ์ž„ํ”ผ๋˜์Šค ๋ฐ $\tan\delta$ ์ธก์ • ๊ฒฐ๊ณผ์—์„œ ALC ์ ์šฉ ์—ฌ๋ถ€์— ๋”ฐ๋ฅธ ํฐ ์ฐจ์ด๋Š” ๋‚˜ํƒ€๋‚˜์ง€ ์•Š์•˜๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ์ผ๋ฐ˜์ ์œผ๋กœ ์„ธ๋ผ๋ฏน ์ปคํŒจ์‹œํ„ฐ ์ธก์ •์—์„œ๋Š” ์ธก์ • ์ •ํ™•๋„๋ฅผ ํ™•๋ณดํ•˜๊ธฐ ์œ„ํ•ด ALC ๊ธฐ๋Šฅ์„ ํ™œ์„ฑํ™”ํ•˜๋Š” ๊ฒƒ์ด ๊ถŒ์žฅ๋œ๋‹ค.

PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ €์ฃผํŒŒ ์˜์—ญ์—์„œ ์ •์ „ ์šฉ๋Ÿ‰์€ ์ผ์ •ํ•˜๊ฒŒ ์œ ์ง€๋˜์—ˆ๋‹ค. ํŠนํžˆ ์ˆ˜์‹ญ kHz ์ด์ƒ ์˜์—ญ์—์„œ๋„ ์ •์ „ ์šฉ๋Ÿ‰ ๋ณ€ํ™”๊ฐ€ ๊ธ‰๊ฒฉํ•˜์ง€ ์•Š๋‹ค๋Š” ์ ์€ ์•ˆ์ •์ ์ธ ์—๋„ˆ์ง€ ์ €์žฅ ๋ฐ ๋ฐฉ์ „ ํŠน์„ฑ์„ ์‹œ์‚ฌํ•œ๋‹ค. ๋”ฐ๋ผ์„œ PLZT ์ปคํŒจ์‹œํ„ฐ๋Š” ๊ณ ์† ์Šค์œ„์นญ ํ™˜๊ฒฝ์—์„œ๋„ ์ผ๊ด€๋œ ์ •์ „ ์šฉ๋Ÿ‰ ์œ ์ง€๊ฐ€ ํ•„์š”ํ•œ ์ „๋ ฅ ๋ณ€ํ™˜ ์‘์šฉ ๋ถ„์•ผ์— ์ ํ•ฉํ•  ๊ฒƒ์œผ๋กœ ํŒ๋‹จ๋œ๋‹ค.

๊ทธ๋ฆผ 4 ์ธก์ •๋œ VR = 500 V, Cnom.typ = 250 nF PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ๋‹ค์–‘ํ•œ ์ฃผํŒŒ์ˆ˜์—์„œ ์ •์ „ ์šฉ๋Ÿ‰ (VDC = 1 V, VAC = 0.5 V, 20 Hz โ€“ 2 MHz)

Fig. 4 Measured capacitance of VR = 500 V, Cnom.typ = 250 nF PLZT capacitor at various frequencies (VDC = 1 V, VAC = 0.5 V, 20 Hz โ€“ 2 MHz)

../../Resources/kiee/KIEE.2026.75.10.2437/fig4.png

$\text{BaTiO}_3$ ๊ธฐ๋ฐ˜ class II MLCC์˜ ์ •์ „ ์šฉ๋Ÿ‰์€ ์ธ๊ฐ€๋˜๋Š” DC ์ „์••์— ๋”ฐ๋ผ ๋ณ€ํ™”ํ•˜๋Š” ํ˜„์ €ํ•œ ์ „์•• ์˜์กด์„ฑ (DC-bias dependency)์„ ๊ฐ€์ง„๋‹ค. ์ด๋Š” ๊ฐ•์œ ์ „์ฒด ํŠน์œ ์˜ ๋„๋ฉ”์ธ ๋ฒฝ ๊ณ ์ • (domain wall pinning) ๋ฐ ๋ถ„๊ทน ํฌํ™” ํ˜„์ƒ์— ๊ธฐ์ธํ•˜๋ฉฐ, ๋™์ž‘ ์ „์••์ด ๋†’์•„์ง์— ๋”ฐ๋ผ ์œ ํšจ ์ •์ „ ์šฉ๋Ÿ‰์ด ๊ฐ์†Œํ•˜๋Š” ๊ฒฝํ–ฅ์„ ๋ณด์ธ๋‹ค. ๋ฐ˜๋ฉด, ๋ฐ˜๊ฐ•์œ ์ „์ฒด ํŠน์„ฑ์„ ๊ฐ–๋Š” PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ •์ „ ์šฉ๋Ÿ‰์€ DC ์ „์••์ด ์ฆ๊ฐ€ํ•˜๋ฉด ์ ์ง„์ ์œผ๋กœ ์ฆ๊ฐ€ํ•˜๋‹ค $V_{op}$ ๊ตฌ๊ฐ„์— ๋„๋‹ฌํ•˜์—ฌ ์ •์ „ ์šฉ๋Ÿ‰์ด ๊ธ‰๊ฒฉํžˆ ์ฆ๊ฐ€ํ•˜์—ฌ ์ตœ๋Œ“๊ฐ’์„ ๋‚˜ํƒ€๋‚ธ๋‹ค. ์ฆ‰, ์ธ๊ฐ€์ „์••์— ๋”ฐ๋ผ ๋น„์„ ํ˜•์ ์ธ ์ „์•• ์˜์กด์„ฑ์„ ๋‚˜ํƒ€๋‚ธ๋‹ค. ์ด๋Ÿฌํ•œ ๋น„์„ ํ˜• Cโ€“V ๊ฑฐ๋™์€ ๋ฌธํ—Œ์— ๋ณด๊ณ ๋œ ๋ฐ˜๊ฐ•์œ ์ „์ฒด PLZT์˜ ์ „๊ณ„ ์˜์กด์  ์œ ์ „ ์‘๋‹ต๊ณผ ์ผ์น˜ํ•œ๋‹ค [26,27].

๊ทธ๋ฆผ 5 ์ธก์ •๋œ VR = 500 V, Cnom.typ = 250 nF PLZT ์ปคํŒจ์‹œํ„ฐ์˜ DC ์ „์••์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰ (VDC = 0 โ€“ 500 V, VAC = 0.5 V, 1 kHz)

Fig. 5 Measured capacitance of VR = 500 V, Cnom.typ = 250 nF PLZT capacitor (VDC = 0 โ€“ 500 V, VAC = 0.5 V, 1 kHz)

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์ž„ํ”ผ๋˜์Šค์˜ ๊ฒฝ์šฐ, ์ €์ฃผํŒŒ ๋Œ€์—ญ์—์„œ๋Š” $1/2\pi fC$์˜ ๊ด€๊ณ„๋ฅผ ๋”ฐ๋ฅด๋Š” ์ด์ƒ์ ์ธ ์ปคํŒจ์‹œํ„ฐ ๊ฑฐ๋™์„ ๋ณด์ด๋ฉฐ ์ฃผํŒŒ์ˆ˜์— ๋ฐ˜๋น„๋ก€ํ•˜์—ฌ ๊ฐ์†Œํ•œ๋‹ค. ESR์€ ์ €์ฃผํŒŒ ๋Œ€์—ญ์—์„œ ์œ ์ „ ์†์‹ค์˜ ์˜ํ–ฅ์œผ๋กœ ๊ฐ์†Œํ•˜๋‹ค๊ฐ€ (์œ ์ „ ์†์‹ค์€ ์ฃผํŒŒ์ˆ˜์— ๋ฐ˜๋น„๋ก€ํ•จ), ํŠน์ • ์ฃผํŒŒ์ˆ˜ ์ด์ƒ๋ถ€ํ„ฐ๋Š” ๋‚ด๋ถ€ ์ „๊ทน์˜ ํ‘œํ”ผ ํšจ๊ณผ (skin effect) ๋ฐ ์œ ์ „์ฒด ๋ถ„์‚ฐ ํŠน์„ฑ์— ์˜ํ•ด ์ ์ง„์ ์œผ๋กœ ์ƒ์Šนํ•˜๋Š” ๊ฑฐ๋™์„ ๋ณด์ธ๋‹ค. ํŠนํžˆ ์ „๋ ฅ ์ „์ž ์‹œ์Šคํ…œ์˜ ์ฃผ์š” ๋™์ž‘ ๋Œ€์—ญ์—์„œ์˜ ESR ์ตœ์†Ÿ๊ฐ’์ด ๋‚ฎ๊ฒŒ ํ˜•์„ฑ๋˜๊ณ  ์ƒ์Šน ํญ์ด ์™„๋งŒํ•˜๋‹ค๋Š” ์ ์€ ๊ณ ์ฃผํŒŒ ์Šค์œ„์นญ ํ™˜๊ฒฝ์—์„œ ์—ด ๋ฐœ์ƒ์„ ์–ต์ œํ•˜๊ณ  ์ „๋ ฅ ๋ณ€ํ™˜ ํšจ์œจ์„ ๋†’์ผ ์ˆ˜ ์žˆ๋Š” ํ•ต์‹ฌ์ ์ธ ์žฅ์ ์ด ๋œ๋‹ค.

๊ทธ๋ฆผ 6 ์ธก์ •๋œ VR = 500 V, Cnom.typ = 250 nF PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ž„ํ”ผ๋˜์Šค ๋ฐ ESR (VDC = 1 V, VAC = 0.5 V, 20 Hz โ€“ 2 MHz)

Fig. 6 Measured impedance and ESR of VR = 500 V, Cnom.typ = 250 nF PLZT capacitor (VDC = 1 V, VAC = 0.5 V, 20 Hz โ€“ 2 MHz)

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PLZT ์ปคํŒจ์‹œํ„ฐ์˜ $\tan\delta$์€ ์ €์ฃผํŒŒ ์˜์—ญ์—์„œ ๋‚ฎ์€ ์ˆ˜์ค€์„ ์œ ์ง€ํ•˜๋ฉฐ, ์ฃผํŒŒ์ˆ˜ ์ฆ๊ฐ€์— ๋”ฐ๋ผ ์ ์ง„์ ์œผ๋กœ ์ฆ๊ฐ€ํ•˜๋Š” ๊ฒฝํ–ฅ์„ ๋ณด์ธ๋‹ค. ์ด๋Ÿฌํ•œ ์ฆ๊ฐ€๋Š” ๊ณ ์ฃผํŒŒ ๋Œ€์—ญ์—์„œ ๋ฐœ์ƒํ•˜๋Š” ์œ ์ „์ฒด ๋ถ„๊ทน์˜ ์™„ํ™” (dielectric relaxation)์™€ ๋‚ด๋ถ€ ์ „๊ทน์˜ ๊ธฐ์ƒ ์ €ํ•ญ ์„ฑ๋ถ„ (parasitic resistance)์˜ ์˜ํ–ฅ์ด ๋ณตํ•ฉ์ ์œผ๋กœ ์ž‘์šฉํ•œ ๊ฒฐ๊ณผ์ผ ๊ฐ€๋Šฅ์„ฑ์ด ์žˆ๋‹ค. ๋‹ค๋งŒ ๋ณธ ์ธก์ • ๋ฒ”์œ„์—์„œ๋Š” ์ž๊ธฐ ๊ณต์ง„ (self-resonance) ์ฃผํŒŒ์ˆ˜๊ฐ€ ๋ช…ํ™•ํ•˜๊ฒŒ ํ™•์ธํ•˜์ง€ ์•Š์•˜์œผ๋ฏ€๋กœ, ์ž๊ธฐ๊ณต์ง„ ์ฃผํŒŒ์ˆ˜ ์ „๊นŒ์ง€ ์•ˆ์ •์ ์ธ ํŠน์„ฑ์„ ์œ ์ง€ํ•œ๋‹ค๊ณ  ๋‹จ์ •ํ•˜๊ธฐ๋Š” ์–ด๋ ต๋‹ค. ๋”ฐ๋ผ์„œ ๋ณธ ๊ฒฐ๊ณผ๋Š” ์ธก์ • ์ฃผํŒŒ์ˆ˜ ๋ฒ”์œ„ ๋‚ด์—์„œ ์ •์ „ ์šฉ๋Ÿ‰๊ณผ ์œ ์ „ ์†์‹ค์˜ ๋ณ€ํ™”๊ฐ€ ์™„๋งŒํ•˜์˜€์Œ์„ ์˜๋ฏธํ•œ๋‹ค.

๊ทธ๋ฆผ 7 ์ธก์ •๋œ VR = 500 V, Cnom.typ = 250 nF PLZT ์ปคํŒจ์‹œํ„ฐ์˜ tanฮด(VDC = 1 V, VAC = 0.5 V, 20 Hz โ€“ 2 MHz)

Fig. 7 Measured tanฮด of VR = 500 V, Cnom.typ = 250 nF PLZT capacitor (VDC = 1 V, VAC = 0.5 V, 20 Hz โ€“ 2 MHz)

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๊ทธ๋ฆผ 8์€ ๋ณธ ์—ฐ๊ตฌ์—์„œ ์‚ฌ์šฉํ•œ high power system source meter (2657A, Keithley Instruments, Solon, OH, USA)์ด๋‹ค. ์ด ์‹œ์Šคํ…œ์€ ์ปคํŒจ์‹œํ„ฐ์— DC ์ „์••์„ ์ธ๊ฐ€ ํ•˜๋ฉด ์ •๋ฐ€ํ•œ ์ „๋ฅ˜๋ฅผ ์ธก์ •ํ•  ์ˆ˜ ์žˆ์œผ๋ฉฐ, DC 3 kV๊นŒ์ง€ ์ธ๊ฐ€ ๊ฐ€๋Šฅํ•˜๋‹ค [34].

๊ทธ๋ฆผ 8 ๋ณธ ์—ฐ๊ตฌ์— ์ด์šฉ๋œ high power system source meter

Fig. 8 High power system source meter used in this study

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๊ทธ๋ฆผ 9๋Š” ์ธก์ •๋œ $V_R = 500\text{ V}$, $C_{nom,typ} = 250\text{ nF}$ PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ƒ์˜จ์—์„œ์˜ DC ํ•ญ๋ณต ์ „์••์˜ ํ•œ ๊ฒฐ๊ณผ์ด๋‹ค. ์ธ๊ฐ€๋œ DC ์ „์••์ด ์ฆ๊ฐ€ํ•จ์— ๋”ฐ๋ผ ๋ˆ„์„ค ์ „๋ฅ˜๋Š” ๋‚ฎ์€ ์ˆ˜์ค€์„ ์œ ์ง€ํ•˜๋‹ค๊ฐ€ ์•ฝ 1.16 kV์—์„œ ๊ธ‰๊ฒฉํžˆ ์ฆ๊ฐ€ํ•˜๋ฉฐ ํ•ญ๋ณต์ด ๋ฐœ์ƒํ•˜์˜€๋‹ค. ์ด๋Š” ๋†’์€ ์ „๊ณ„์— ์˜ํ•ด ์œ ์ „์ฒด ๋‚ด๋ถ€์— ์ „๋„ ๊ฒฝ๋กœ๊ฐ€ ํ˜•์„ฑ๋˜๋ฉด์„œ ์ ˆ์—ฐ ํŠน์„ฑ์ด ๊ธ‰๊ฒฉํžˆ ์ €ํ•˜๋œ ๊ฒฐ๊ณผ๋กœ ํ•ด์„๋œ๋‹ค. ๋‹จ์ผ ์†Œ์ž์—์„œ ์ธก์ •๋œ ์ ˆ์—ฐ ํŒŒ๊ดด ์ „์••์€ $V_R$ ๋Œ€๋น„ ์•ฝ 2๋ฐฐ ์ด์ƒ์˜ ์ „์•• ๋งˆ์ง„์„ ๊ฐ€์ง€๋Š” ๊ฒƒ์œผ๋กœ ํ™•์ธ๋˜์—ˆ๋‹ค.

๊ทธ๋ฆผ 9 ์ธก์ •๋œ VR = 500 V, Cnom.typ = 250 nF PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ƒ์˜จ DC ํ•ญ๋ณต ์ „์••

Fig. 9 Measured room-temperature breakdown voltage of VR = 500 V, Cnom.typ = 250 nF PLZT capacitor

../../Resources/kiee/KIEE.2026.75.10.2437/fig9.png

๊ทธ๋ฆผ 10 DC ํ•ญ๋ณต์ด ๋ฐœ์ƒํ•˜์—ฌ ceramic body๊ฐ€ ์†์ƒ๋œ VR = 500 V, Cnom.typ = 250 nF PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ด๋ฏธ์ง€

Fig. 10 Measured image of VR = 500 V, Cnom.typ = 250 nF PLZT capacitor with ceramic body damage caused by DC breakdown

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ํƒœ์–‘๊ด‘ ์ „๋ ฅ ๋ณ€ํ™˜ ์‹œ์Šคํ…œ๊ณผ ๊ฐ™์ด ์ฃผ๋กœ 1200 V๊ธ‰ ์ „์••์ด ์š”๊ตฌ๋˜๋Š” ์‘์šฉ์—์„œ๋Š” ํ•ด๋‹น ์ „์•• ์กฐ๊ฑด์„ ๋งŒ์กฑํ•˜๊ธฐ ์œ„ํ•ด ๋” ๋†’์€ $V_R$์„ ๊ฐ–๋Š” PLZT ์ปคํŒจ์‹œํ„ฐ๊ฐ€ ์š”๊ตฌ๋  ์ˆ˜ ์žˆ๋‹ค. ๊ทธ๋ฆผ 10์€ $V_R = 500\text{ V}$, $C_{nom,typ} = 250\text{ nF}$ PLZT ์ปคํŒจ์‹œํ„ฐ์˜ DC ํ•ญ๋ณต์ด ๋ฐœ์ƒํ•˜์—ฌ ๋ฌผ๋ฆฌ์ ์œผ๋กœ ceramic body๊ฐ€ ์†์ƒ๋œ ์ด๋ฏธ์ง€์ด๋‹ค.

PLZT ์ปคํŒจ์‹œํ„ฐ๋Š” ๋†’์€ ์œ ์ „ ์•ˆ์ •์„ฑ๊ณผ ๊ณ ์ „์•• ํ™˜๊ฒฝ์—์„œ์˜ ์šฐ์ˆ˜ํ•œ ์„ฑ๋Šฅ์„ ์ œ๊ณตํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ์žฅ์ ์ด ์žˆ์œผ๋‚˜, ์œ ์ „์ฒด ์กฐ์„ฑ์— ๋‚ฉ (Pb)์„ ํฌํ•จํ•˜๊ณ  ์žˆ๋‹ค๋Š” ์ ์—์„œ ํ™˜๊ฒฝ ๊ทœ์ œ์™€ ๊ด€๋ จ๋œ ํ•œ๊ณ„๋ฅผ ๊ฐ€์งˆ ์ˆ˜ ์žˆ๋‹ค. ํŠนํžˆ ์ „๊ธฐยท์ „์ž ์ œํ’ˆ์—์„œ ์œ ํ•ด ๋ฌผ์งˆ ์‚ฌ์šฉ์„ ์ œํ•œํ•˜๋Š” RoHS (restriction of hazardous substances) ๊ทœ์ œ์™€์˜ ๊ด€๊ณ„๊ฐ€ ์ค‘์š”ํ•œ ๊ณ ๋ ค ์š”์†Œ๊ฐ€ ๋  ์ˆ˜ ์žˆ๋‹ค. ๋‚ฉ์„ ํฌํ•จํ•˜๋Š” ์ผ๋ถ€ ์„ธ๋ผ๋ฏน ์ „์ž ๋ถ€ํ’ˆ์˜ ๊ฒฝ์šฐ ๊ธฐ๋Šฅ์  ํŠน์„ฑ์œผ๋กœ ์ธํ•ด RoHS ์˜ˆ์™ธ ์กฐํ•ญ์ด ์ ์šฉ๋  ๊ฐ€๋Šฅ์„ฑ์ด ์žˆ์œผ๋‚˜, ์ด๋Ÿฌํ•œ ์˜ˆ์™ธ ์ ์šฉ ์—ฌ๋ถ€๋Š” ํ™˜๊ฒฝ ๊ทœ์ œ ์š”๊ตฌ์‚ฌํ•ญ๊ณผ ์‹ค์ œ ์‘์šฉ ํ™˜๊ฒฝ์„ ์ข…ํ•ฉ์ ์œผ๋กœ ๊ณ ๋ คํ•˜์—ฌ ํŒ๋‹จ๋  ํ•„์š”๊ฐ€ ์žˆ๋‹ค. ๋”ฐ๋ผ์„œ RoHS ๊ทœ์ œ์™€ ์™„์ „ํžˆ ํ˜ธํ™˜๋˜๋Š” $\text{BaTiO}_3$ ๊ธฐ๋ฐ˜ MLCC์™€ ๋น„๊ตํ•  ๋•Œ, PLZT ๊ธฐ๋ฐ˜ ์ปคํŒจ์‹œํ„ฐ๋Š” ์šฐ์ˆ˜ํ•œ ์œ ์ „ ํŠน์„ฑ์„ ์ œ๊ณตํ•˜์ง€๋งŒ, ๊ทœ์ œ ์ˆ˜์šฉ์„ฑ ๋ฐ ํ™˜๊ฒฝ์  ์ธก๋ฉด์—์„œ ์ƒ๋Œ€์ ์ธ ์ œ์•ฝ์ด ์žˆ์„ ์ˆ˜ ์žˆ๋‹ค. ํ•œํŽธ, ๋ณธ ์—ฐ๊ตฌ๋Š” ์ƒ์˜จ์—์„œ ์ˆ˜ํ–‰ํ•œ ์ฃผํŒŒ์ˆ˜ ์‘๋‹ต, DC ๋ฐ”์ด์–ด์Šค์— ๋”ฐ๋ฅธ ์ •์ „ ์šฉ๋Ÿ‰ ๋ฐ DC ์ ˆ์—ฐํŒŒ๊ดด ํŠน์„ฑ ํ‰๊ฐ€์— ํ•œ์ •๋˜์–ด ์žˆ์œผ๋ฉฐ, ๋™์ž‘ ์˜จ๋„ ๋ณ€ํ™”์™€ ์žฅ์‹œ๊ฐ„์˜ ์ „์•• ๋ฐ ๋ฆฌํ”Œ ์ „๋ฅ˜ ์ŠคํŠธ๋ ˆ์Šค์— ๋”ฐ๋ฅธ ์ „๊ธฐ์  ํŠน์„ฑ ๋ณ€ํ™”๋Š” ํ‰๊ฐ€ํ•˜์ง€ ๋ชปํ•˜์˜€๋‹ค. ์ปคํŒจ์‹œํ„ฐ์˜ ์ •์ „ ์šฉ๋Ÿ‰, ESR ๋ฐ ์†์‹ค ํŠน์„ฑ๊ณผ ์ˆ˜๋ช…์€ ์˜จ๋„, ์ „์•• ์ŠคํŠธ๋ ˆ์Šค, ๋ฆฌํ”Œ ์ „๋ฅ˜ ๋ฐ ๋™์ž‘ ์‹œ๊ฐ„์˜ ์˜ํ–ฅ์„ ๋ฐ›์„ ์ˆ˜ ์žˆ์œผ๋ฏ€๋กœ [5], ๋ณธ ์—ฐ๊ตฌ ๊ฒฐ๊ณผ๋งŒ์œผ๋กœ PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์žฅ๊ธฐ ๋™์ž‘ ์•ˆ์ •์„ฑ์ด๋‚˜ ์ˆ˜๋ช…์„ ํŒ๋‹จํ•˜๊ธฐ์—๋Š” ํ•œ๊ณ„๊ฐ€ ์žˆ๋‹ค. ํ–ฅํ›„์—๋Š” ๋‹ค์ˆ˜ ์‹œ๋ฃŒ๋ฅผ ๋Œ€์ƒ์œผ๋กœ ์˜จ๋„๋ณ„ ์ „๊ธฐ์  ํŠน์„ฑ ์ธก์ •๊ณผ ๊ณ ์˜จ DC ์ŠคํŠธ๋ ˆ์Šค ๋ฐ ๋ฆฌํ”Œ ์ „๋ฅ˜ ์‹œํ—˜, ๊ฐ€์† ์ˆ˜๋ช… ์‹œํ—˜์„ ์ˆ˜ํ–‰ํ•˜์—ฌ ์ •์ „ ์šฉ๋Ÿ‰, ESR, $\tan\delta$ ๋ฐ ์ ˆ์—ฐ ์ €ํ•ญ์˜ ์‚ฌ์šฉ ์‹œ๊ฐ„์— ๋”ฐ๋ฅธ ๋ณ€ํ™”์™€ ์žฅ๊ธฐ ์‹ ๋ขฐ์„ฑ์„ ํ‰๊ฐ€ํ•  ํ•„์š”๊ฐ€ ์žˆ๋‹ค.

3. ๊ฒฐ ๋ก 

๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” $V_R = 500\text{ V}$, $C_{nom,typ} = 250\text{ nF}$ PLZT ์ปคํŒจ์‹œํ„ฐ์˜ ์ „์••, ์ฃผํŒŒ์ˆ˜ ์˜์กด ์ •์ „ ์šฉ๋Ÿ‰, ์ž„ํ”ผ๋˜์Šค, ESR, $\tan\delta$๊ณผ DC ์ ˆ์—ฐ ํŒŒ๊ดด ํŠน์„ฑ์„ ์ธก์ •ํ•˜์˜€๋‹ค. ์ธก์ • ์ฃผํŒŒ์ˆ˜ ๋ฒ”์œ„์—์„œ ์ •์ „ ์šฉ๋Ÿ‰๊ณผ $\tan\delta$๋Š” ์™„๋งŒํ•œ ๋ณ€ํ™”๋ฅผ ๋‚˜ํƒ€๋ƒˆ์œผ๋‚˜, ์ž๊ธฐ ๊ณต์ง„ ์ฃผํŒŒ์ˆ˜๊ฐ€ ๋ช…ํ™•ํ•˜๊ฒŒ ํ™•์ธ๋˜์ง€ ์•Š์•˜์œผ๋ฏ€๋กœ ์•ˆ์ •์ ์ธ ๋™์ž‘ ์ฃผํŒŒ์ˆ˜ ๋ฒ”์œ„๋ฅผ ๋‹จ์ •ํ•˜๊ธฐ์—๋Š” ํ•œ๊ณ„๊ฐ€ ์žˆ๋‹ค. ๋‘ ์‹œ๋ฃŒ์˜ spot ๋ฐ sweep ์ธก์ • ๊ฒฐ๊ณผ์—์„œ๋Š” DC ๋ฐ”์ด์–ด์Šค ์ฆ๊ฐ€์— ๋”ฐ๋ผ ์ •์ „ ์šฉ๋Ÿ‰์ด ๋น„์„ ํ˜•์ ์œผ๋กœ ์ฆ๊ฐ€ํ•˜๋Š” ๊ฒฝํ–ฅ์ด ๋‚˜ํƒ€๋‚ฌ์œผ๋ฉฐ, ์ด๋Ÿฌํ•œ ๊ฑฐ๋™์€ ๋ฌธํ—Œ์— ๋ณด๊ณ ๋œ ๋ฐ˜๊ฐ•์œ ์ „์ฒด PLZT์˜ ์ „๊ณ„ ์˜์กด์  ์œ ์ „ ์‘๋‹ต๊ณผ ์ผ์น˜ํ•˜์˜€๋‹ค. ๋‹จ์ผ ์†Œ์ž์— ๋Œ€ํ•œ DC ์ ˆ์—ฐ ํŒŒ๊ดด ์‹œํ—˜์—์„œ๋Š” 1.16 kV์—์„œ ์ ˆ์—ฐ ํŒŒ๊ดด๊ฐ€ ๋ฐœ์ƒํ•˜์˜€์œผ๋ฉฐ, ์ด๋Š” $V_R$ ๋Œ€๋น„ 2๋ฐฐ ์ด์ƒ์— ํ•ด๋‹นํ•˜๋Š” ์ธก์ •๊ฐ’์ด๋‹ค. ์ œํ•œ๋œ ์‹œ๋ฃŒ ์ˆ˜์™€ ์ธก์ • ํšŸ์ˆ˜๋กœ ์ธํ•ด ์ด๋ฅผ ํ•ด๋‹น ์ œํ’ˆ๊ตฐ์˜ ๋Œ€ํ‘œ ํŠน์„ฑ์œผ๋กœ ์ผ๋ฐ˜ํ™”ํ•˜๊ธฐ์—๋Š” ํ•œ๊ณ„๊ฐ€ ์žˆ๋‹ค. ๋ณธ ๊ฒฐ๊ณผ๋Š” PLZT ์ปคํŒจ์‹œํ„ฐ์˜ DC-link ์‘์šฉ ๊ฐ€๋Šฅ์„ฑ์„ ๊ฒ€ํ† ํ•˜๊ธฐ ์œ„ํ•œ ๊ธฐ์ดˆ ์ „๊ธฐ์  ์ž๋ฃŒ์— ํ•ด๋‹นํ•˜๋ฉฐ, ์‹ค์ œ ์‹œ์Šคํ…œ ์ ์šฉ์„ ์œ„ํ•ด์„œ๋Š” ๋‹ค์ˆ˜ ์‹œ๋ฃŒ์— ๋Œ€ํ•œ ๋ฐ˜๋ณต ์‹œํ—˜, ๋ฆฌํ”Œ ์ „๋ฅ˜ ์‹œํ—˜, ์—ด์  ํŠน์„ฑ ๋ฐ ์žฅ๊ธฐ ์‹ ๋ขฐ์„ฑ์— ๊ด€ํ•œ ์ถ”๊ฐ€ ๊ฒ€์ฆ์ด ํ•„์š”ํ•˜๋‹ค.

Acknowledgements

This research was supported by the Gyeonggi ANCHOR Program (Project No. 2026-ANCHOR-09-A15, Project Title: Optimization of Magnetics Design for a 50 kW Bidirectional Power Converter in ESS (Energy Storage System) Applications).

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์ €์ž์†Œ๊ฐœ

๊น€ํ˜„์ง„ (Hyun Jin Kim)
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B.S. in Electrical Engineering, Myongji University in 2025
M.S. student in Electrical Engineering, Myongji University Since 2025
E-mail: rlaguswls369@mju.ac.kr

์„์˜ค๊ท  (Ogyun Seok)
../../Resources/kiee/KIEE.2026.75.10.2437/au2.png

Ph.D. in Electrical Engineering, Seoul National University in 2013
Associate Professor in the School of Electrical & Electronics Engineering, Pusan National University
E-mail: ogseok@pusan.ac.kr

๊น€๋ฏผ๊ธฐ (Minki Kim)
../../Resources/kiee/KIEE.2026.75.10.2437/au3.png

Ph.D. in Department of Electrical and Computer Engineering, University of Minnesota, Twin Cities in 2024
Assistant Professor in the Department of Electrical, Electronic, Control Engineering, Kongju National University
E-mail: mkk@kongju.ac.kr

๊น€๋ฏผ์žฌ (Minjae Kim)
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Ph.D. in Mechanical Engineering, Seoul National University in 2010
Professor in Department of Mechanical Engineering, Myongji University
E-mail: minjk@mju.ac.kr

์œค์ค‘๋ฝ (Jung-Rag Yoon)
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Ph.D. in Electrical Engineering, Myongji University in 1999
Executive Director of the Research and Development Center at Samhwa Capacitor Co., Ltd
E-mail: yoonjungrag@samwha.com

ํ•˜๋ฏผ์šฐ (Min-Woo Ha)
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Ph.D. in Electrical Engineering, Seoul National University in 2007
Professor in the Department of Electrical Engineering, Myongji University
E-mail: isobar@mju.ac.kr