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  1. (Electrical Safety Research Institute, Korea Electrical Safety Corporation, Korea.)



Low-Voltage Direct Current, DC Grounding System, Insulation Resistance Estimation, Open-Type Midpoint Grounding System, Protection Device Interconnection

1. ์„œ ๋ก 

๊ต๋ฅ˜ ์ˆ˜์šฉ๊ฐ€์—์„œ ์ง๋ฅ˜ ์ˆ˜์šฉ๊ฐ€๋กœ์˜ ์ „ํ™˜์„ ์œ„ํ•œ ๋งŽ์€ ์—ฐ๊ตฌ๊ฐ€ ์ˆ˜ํ–‰๋˜์—ˆ๊ณ  ํ˜„๋Œ€ ์ผ๋ ‰ํŠธ๋ฆญ์€ ์ง๋ฅ˜ ๋ฐฐ์ „ ๋นŒ๋”ฉ์„ ๊ตญ๋‚ด ์ตœ์ดˆ๋กœ ์ƒ์šฉํ™”ํ•˜์˜€๋‹ค[1-3]. ์ด์ฒ˜๋Ÿผ ์ €์••์ง๋ฅ˜ ์‹œ์Šคํ…œ์€ ์ƒ์šฉํ™” ๋‹จ๊ณ„์— ์ด๋ฅด๋ €์ง€๋งŒ ์•„์ง ํ•ด์†Œ๋˜์ง€ ์•Š์€ ์—ฌ๋Ÿฌ ๊ธฐ์ˆ ์ /์ œ๋„์  ๋ฌธ์ œ๋“ค์ด ์žˆ์–ด ์‚ฐยทํ•™ยท์—ฐ์˜ ๊ฐ์ข… ๋…ธ๋ ฅ์—๋„ ๋ถˆ๊ตฌํ•˜๊ณ  ์ง๋ฅ˜ ๋ฐฐ์ „ ๋ฐ ์ง๋ฅ˜ ์ˆ˜์šฉ๊ฐ€ ํ™•์‚ฐ์— ๊ฑธ๋ฆผ๋Œ์ด ๋˜๊ณ  ์žˆ๋‹ค.

์ ‘์ง€์˜ ๊ฒฝ์šฐ IEC 60364-1์— ๋”ฐ๋ผ ๊ต๋ฅ˜์™€ ๋งˆ์ฐฌ๊ฐ€์ง€๋กœ ์—ฌ๋Ÿฌ ์ ‘์ง€๋ฐฉ์‹์„ ์ ์šฉํ•  ์ˆ˜๋Š” ์žˆ์œผ๋‚˜ ์ธ์ฒด๋ณดํ˜ธ, ์ ‘์ง€๊ทน์˜ ์ „์‹ ๋“ฑ์˜ ์ด์œ ๋กœ ์ €์•• ์ง๋ฅ˜ ์ˆ˜์šฉ๊ฐ€์— ๋Œ€ํ•ด์„œ๋Š” 2์„ ์‹/3์„ ์‹ IT ์‹œ์Šคํ…œ์„ ์ฃผ๋กœ ์—ฐ๊ตฌํ•˜๊ณ  ์ ์šฉํ•˜๊ณ  ์žˆ๋‹ค[4]. ํ•˜์ง€๋งŒ IT ์‹œ์Šคํ…œ์€ ๋Œ€์ง€์™€ ์—ฐ๊ฒฐ๋˜์–ด ์žˆ์ง€ ์•Š๊ฑฐ๋‚˜ ๊ณ ์ €ํ•ญ์„ ํ†ตํ•ด ์—ฐ๊ฒฐ๋˜์–ด 1์„  ์ง€๋ฝ์‚ฌ๊ณ  ์‹œ ๊ณ ์žฅ์ „๋ฅ˜๊ฐ€ ๊ฑฐ์˜ ํ๋ฅด์ง€ ์•Š์•„ ์ด๋ฅผ ๊ฒ€์ถœํ•˜๊ธฐ๊ฐ€ ์–ด๋ ค์›Œ ๊ณ ๊ฐ€์˜ ์ ˆ์—ฐ๊ฐ์‹œ์žฅ์น˜(IMD)๋ฅผ ์ฃผ๋กœ ์‚ฌ์šฉํ•˜๊ณ  ์žˆ๋‹ค[5].

์ด๋Ÿฌํ•œ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•ด 2์„ ์‹/3์„ ์‹ IT ์‹œ์Šคํ…œ์—์„œ ๊ณ ์ €ํ•ญ ์ค‘๊ฐ„์  ์ ‘์ง€๋ฐฉ์‹์ด ์ œ์•ˆ๋˜์—ˆ๋‹ค[6]. ํ•ด๋‹น ๋ฐฉ์‹์€ 380V ์ €์•• ์ง๋ฅ˜ ์‹œ์Šคํ…œ์—์„œ +์ „๋กœ์™€ โ€“์ „๋กœ ์‚ฌ์ด์— 2๊ฐœ์˜ ๊ณ ์ €ํ•ญ์„ ์—ฐ๊ฒฐํ•˜๊ณ  ๊ทธ ์ค‘๊ฐ„์ ‘์„ ์ ‘์ง€ํ•˜๋Š” ๋ฐฉ์‹์ด๋‹ค. ์ง€๋ฝ์‚ฌ๊ณ  ๋ฐœ์ƒ ์‹œ ํ•ด๋‹น ์ „๋กœ์— ์‹œ์„ค๋œ ๋ˆ„์ „์ฐจ๋‹จ๊ธฐ์˜ ์ •๊ฒฉ๊ฐ๋„์ „๋ฅ˜ ์ด์ƒ์œผ๋กœ ๊ณ ์žฅ ์ „๋ฅ˜๊ฐ€ ํ๋ฅด๋„๋ก ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ํฌ๊ธฐ๋ฅผ ์„ค๊ณ„ํ•˜์—ฌ ์‹œ์„คํ•จ์œผ๋กœ์จ ๊ธฐ์กด์˜ 2์„ ์‹/3์„ ์‹ IT ์‹œ์Šคํ…œ์—์„œ ๊ฒ€์ถœ์ด ์–ด๋ ค์› ๋˜ 1์„  ์ง€๋ฝ์‚ฌ๊ณ ๋ฅผ ๋ˆ„์ „์ฐจ๋‹จ๊ธฐ๋ฅผ ํ†ตํ•ด ์ฐจ๋‹จํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ์žฅ์ ์ด ์žˆ๋‹ค. ํ•˜์ง€๋งŒ ์ด์™€ ๊ฐ™์€ ๋ฐฉ์‹์€ ๊ณ ์ €ํ•ญ ์ค‘๊ฐ„์  ์–‘๋‹จ์˜ ์ „์••์ฐจ๋กœ ์ธํ•˜์—ฌ ๊ณ ์ €ํ•ญ์„ ํ†ตํ•ด ์ „๋ฅ˜๊ฐ€ ํ๋ฅด๊ฒŒ ๋˜๊ณ  ์ด๋กœ ์ธํ•˜์—ฌ ์ง€์†์ ์ธ ์†์‹ค์ด ๋ฐœ์ƒํ•˜๋Š” ๋ฌธ์ œ๊ฐ€ ์žˆ๋‹ค. ๋˜ํ•œ +์ „๋กœ์™€ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ ๊ณ„์ธก ์‹œ ์ค‘๊ฐ„์  ๊ณ ์ €ํ•ญ์œผ๋กœ ์ธํ•˜์—ฌ ์ ˆ์—ฐ์ €ํ•ญ์ด ๊ณ ์ €ํ•ญ์˜ ํฌ๊ธฐ ์ดํ•˜๋กœ ์ธก์ •๋˜๋Š” ๋‹จ์ ์ด ์žˆ๋‹ค.

์•ž์„  ์—ฐ๊ตฌ์—์„œ ํ•ด๋‹น ๋‹จ์ ์„ ํ•ด์†Œํ•˜๊ธฐ ์œ„ํ•ด ๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€ ๋ฐฉ์‹์„ ์ œ์•ˆํ•˜์˜€๋‹ค[7]. ํ‰์ƒ์‹œ ์ค‘๊ฐ„์ ์ด ๊ฐœ๋ฐฉ๋˜์–ด ์žˆ์–ด ๊ณ ์ €ํ•ญ์„ ํ†ตํ•œ ์ „๋ฅ˜๊ฐ€ ํ๋ฅด์ง€ ์•Š์•„ ์ง€์†์ ์ธ ์†์‹ค์ด ๋ฐœ์ƒํ•˜์ง€ ์•Š์œผ๋ฉฐ ๊ณ ์ €ํ•ญ ์–‘๋‹จ์˜ ์ „์•• ๊ณ„์ธก์„ ํ†ตํ•ด ํ•œ์ชฝ์— ์ผ์ • ํฌ๊ธฐ ์ด์ƒ์˜ ์ „์••์ด ๊ณ„์ธก๋˜๋ฉด ์Šค์œ„์น˜๋ฅผ ๋‹ซ์Œ์œผ๋กœ์จ ์ •๊ฒฉ๊ฐ๋„ ์ „๋ฅ˜ ์ด์ƒ์˜ ๋ˆ„์„ค์ „๋ฅ˜๊ฐ€ ํ๋ฅด๊ฒŒ ๋˜์–ด ๋ˆ„์ „์ฐจ๋‹จ๊ธฐ๊ฐ€ ๋™์ž‘ํ•˜๋„๋ก ํ•˜์˜€๋‹ค. ํ•˜์ง€๋งŒ ํ•œ์ชฝ ๊ณ ์ €ํ•ญ ์–‘๋‹จ์˜ ์ „์••ํฌ๊ธฐ๊ฐ€ ์ผ์ •๊ฐ’ ์ด์ƒ์ด ๋˜๋”๋ผ๋„ ์ ˆ์—ฐ์ €ํ•ญ์˜ ํฌ๊ธฐ์— ๋”ฐ๋ผ ๋ˆ„์ „์ฐจ๋‹จ๊ธฐ์˜ ์ •๊ฒฉ๊ฐ๋„ ์ „๋ฅ˜ ์ดํ•˜์˜ ์ „๋ฅ˜๊ฐ€ ํ˜๋Ÿฌ ์ฐจ๋‹จ๋™์ž‘์„ ์ˆ˜ํ–‰ํ•˜์ง€ ์•Š์•„ ์Šค์œ„์น˜๊ฐ€ ๋‹ซํžŒ ์ƒํƒœ๋กœ ์œ ์ง€๋˜์–ด ์ง€์†์ ์ธ ์†์‹ค์ด ๋ฐœ์ƒํ•˜๊ฑฐ๋‚˜ ์Šค์œ„์น˜๊ฐ€ ๋‹ซํžˆ๊ฑฐ๋‚˜ ์—ด๋ฆฌ๋Š” ๋™์ž‘์ด ๋ฐ˜๋ณต์ˆ˜ํ–‰๋˜๋Š” ๋ฌธ์ œ๊ฐ€ ์ƒ๊ธธ ์ˆ˜ ์žˆ๋‹ค.

๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€๋ฐฉ์‹์˜ ๋ฌธ์ œ๋ฅผ ๋ณด์™„ํ•˜๊ธฐ ์œ„ํ•˜์—ฌ ์ค‘๊ฐ„์  ์ €ํ•ญ ๊ฐœ๋ฐฉ ์‹œ์˜ ์ค‘๊ฐ„์  ์ €ํ•ญ ์–‘๋‹จ ์ „์••๊ณผ ์Šค์œ„์น˜๊ฐ€ ๋‹ซํ˜”์„ ๊ฒฝ์šฐ์˜ ์ค‘๊ฐ„์  ์ €ํ•ญ ์–‘๋‹จ ์ „์••์„ ์ด์šฉํ•˜์—ฌ +์ „๋กœ์™€ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์„ ์ถ”์ •ํ•˜๋Š” ๋ฐฉ์•ˆ์„ ์ œ์•ˆํ•œ๋‹ค. ์ œ์•ˆ ๋ฐฉ์•ˆ์€ ์‹ค์ œ ์ €์••์ง๋ฅ˜ ์ˆ˜์šฉ๊ฐ€์— ์ ์šฉ์„ ์œ„ํ•ด ์ „์••๊ณ„์ธก ์˜ค์ฐจ๊ฐ€ ์žˆ์„ ๊ฒฝ์šฐ์— ๋Œ€ํ•œ ๋ณด์ •๋„ ํฌํ•จํ•˜๊ณ  ์žˆ๋‹ค. ์ด๋ฅผ ํ†ตํ•ด ํŠน์ • ์ ˆ์—ฐ์ €ํ•ญ์˜ ์–‘๋‹จ์ „์••์ด ์„ค์ •๊ฐ’ ์ด์ƒ์ด ๋˜์–ด ์Šค์œ„์น˜๊ฐ€ ๋‹ซํ˜”์ง€๋งŒ ๋ˆ„์ „์ฐจ๋‹จ๊ธฐ์˜ ์ •๊ฒฉ๊ฐ๋„์ „๋ฅ˜ ์ดํ•˜์˜ ์ „๋ฅ˜๊ฐ€ ํ๋ฅผ ๊ฒฝ์šฐ ์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ •์„ ํ†ตํ•ด ์ด์ƒ๋™์ž‘์„ ๋ฐฉ์ง€ํ•  ์ˆ˜ ์žˆ๋‹ค.

2. ๊ธฐ์กด์˜ ๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€ ๋ฐฉ์‹

2.1 ๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€ ๋ฐฉ์‹์˜ ์ œ์–ด ๋ฐฉ์•ˆ

๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€ ๋ฐฉ์‹์˜ ๊ตฌ์„ฑ๋„๋Š” ๊ทธ๋ฆผ 1๊ณผ ๊ฐ™๋‹ค[7].

๊ทธ๋ฆผ 1. ๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€ ๋ฐฉ์‹ ๊ตฌ์„ฑ

Fig. 1. Configure an open-type midpoint grounding system method

../../Resources/kiee/KIEE.2024.73.11.2091/fig1.png

๊ทธ๋ฆผ 1์—์„œ $V_{s}$๋Š” ์ „์› ์ „์••, $R_{M1}$, $R_{M2}$๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ, $SW_{1}$, $SW_{2}$๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ์— ์—ฐ๊ฒฐ๋œ ์Šค์œ„์น˜, $V_{M1}$ ๋ฐ $V_{M2}$๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ ์–‘๋‹จ์˜ ์ „์••, $R_{l1}$, $L_{l1}$, $R_{l2}$, $L_{l2}$ ์€ ์„ ๋กœ์˜ ์ž„ํ”ผ๋˜์Šค, $R_{ir1}$, $R_{ir2}$๋Š” +์ „๋กœ์™€ โ€“์ „๋กœ์˜ ๋Œ€์ง€๊ฐ„ ์ ˆ์—ฐ์ €ํ•ญ์ด๋‹ค.

๊ทธ๋ฆผ 1๊ณผ ๊ฐ™์ด ํ‰์ƒ์‹œ์—๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ์— ์—ฐ๊ฒฐ๋œ ์Šค์œ„์น˜๋ฅผ ๊ฐœ๋ฐฉ์ƒํƒœ๋กœ ์œ ์ง€ํ•˜๋‹ค๊ฐ€ ํŠน์ • ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ๊ณ„์ธก ์ „์••์ด ์ผ์ •๊ฐ’ ์ด์ƒ์ด ๋˜๋ฉด $SW_{1}$, $SW_{2}$๋ฅผ ๋ชจ๋‘ ๋‹ซ์Œ์œผ๋กœ์จ ์ค‘๊ฐ„์  ์ €ํ•ญ์„ ํ†ตํ•ด ์ „๋ฅ˜๊ฐ€ ํ๋ฅด๊ฒŒ ๋œ๋‹ค. ๊ทธ๋ ‡๊ฒŒ ๋˜๋ฉด ์ž”๋ฅ˜์ „๋ฅ˜์ฐจ๋‹จ์žฅ์น˜(Residual Current Device, RCD)๊ฐ€ +์ „๋กœ ๋ฐ โ€“์ „๋กœ์˜ ์ „๋ฅ˜๊ฐ’ ์ฐจ์ด์— ์˜ํ•œ ์ „๋ฅ˜๋ฅผ ๊ฐ์ง€ํ•˜๊ฒŒ ๋˜๊ณ  ์ด ๊ฐ’์ด RCD์˜ ์ •๊ฒฉ๊ฐ๋„์ „๋ฅ˜ ์ด์ƒ์ด ๋˜๋ฉด RCD๊ฐ€ ์ฐจ๋‹จ๋™์ž‘์„ ์ˆ˜ํ–‰ํ•˜๊ฒŒ ๋œ๋‹ค.

2.2 ๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€ ๋ฐฉ์‹์˜ ํ•œ๊ณ„

๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€๋ฐฉ์‹์—์„œ ์ค‘๊ฐ„์  ๊ณ ์ €ํ•ญ ์–‘๋‹จ์˜ ์ „์••์€ ์ˆ˜์‹ (1) ๋ฐ (2)๋กœ ๊ณ„์‚ฐ์ด ๊ฐ€๋Šฅํ•˜๋‹ค.

(1)
$V_{M1,\: open}\simeq V_{S}\times\dfrac{R_{ir1}}{R_{ir1}+R_{ir2}}$
(2)
$V_{M2,\: open}\simeq V_{s}\times\dfrac{R_{ir2}}{R_{ir1}+R_{ir2}}$

์ˆ˜์‹ (1) ๋ฐ (2)๋ฅผ ๋ณด๋ฉด ๊ฒฐ๊ตญ ์ค‘๊ฐ„์  ์ €ํ•ญ ์–‘๋‹จ์˜ ์ „์••์€ +์ „๋กœ์™€ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์˜ ๋น„์— ๋”ฐ๋ผ ์ „์›์ „์••์ด ๋ถ„๋ฐฐ๋˜๋Š” ๊ฒƒ์„ ์•Œ ์ˆ˜ ์žˆ๋‹ค.

๋˜ํ•œ, ์ง๋ฅ˜ ์ €์•• ์ „๋กœ์— ์‹œ์„ค๋˜๋Š” ๋ˆ„์ „์ฐจ๋‹จ๊ธฐ์˜ ์ •๊ฒฉ๊ฐ๋„ ์ „๋ฅ˜ ๋ฐ +์ „๋กœ์™€ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์„ ์•Œ๊ณ ์žˆ๊ณ  ์ ˆ์—ฐ์ €ํ•ญ์— ๋น„ํ•ด ํฌ๊ธฐ๊ฐ€ ์ž‘์€ ์„ ๋กœ ์ €ํ•ญ์„ ๋ฌด์‹œํ•˜๋ฉด ์ ˆ์—ฐ์ €ํ•ญ์— ๋”ฐ๋ฅธ ๋ˆ„์„ค์ „๋ฅ˜๋Š” ์ˆ˜์‹ (3)๊ณผ ๊ฐ™์ด ๋‚˜ํƒ€๋‚ผ ์ˆ˜ ์žˆ๋‹ค. ์ค‘๊ฐ„์  ์ €ํ•ญ $R_{M1}$ ๋ฐ $R_{M2}$์€ ์ผ๋ฐ˜์ ์œผ๋กœ ๋™์ผํ•œ ํฌ๊ธฐ๋ฅผ ์“ฐ๋ฏ€๋กœ ์ด๋ฅผ $R_{M}$์œผ๋กœ ํ‘œ๊ธฐํ•˜์—ฌ ์ค‘๊ฐ„์  ์ €ํ•ญ $R_{M}$์— ๋Œ€ํ•ด ์ •๋ฆฌํ•˜๋ฉด ์ˆ˜์‹ (4)์™€ ๊ฐ™์€ 2์ฐจ ๋ฐฉ์ •์‹ ํ˜•ํƒœ๊ฐ€ ๋˜๊ณ , ๊ทผ์˜ ๊ณต์‹์„ ์ด์šฉํ•˜์—ฌ ํ•ด๋ฅผ ๊ตฌํ•œ ํ›„ ๊ทธ ์ค‘ ๋ฌด์กฐ๊ฑด ์Œ์ˆ˜๊ฐ€ ๋‚˜์˜ค๋Š” ์‹์„ ์ œ์™ธํ•˜๋ฉด ์ˆ˜์‹ (5)์™€ ๊ฐ™์ด ์ •๋ฆฌํ•  ์ˆ˜ ์žˆ๋‹ค.

(3)
$I_{l}=\dfrac{V_{S}}{R_{M}+R_{ir2}}-\dfrac{V_{S}}{R_{M}+R_{ir1}}$
(4)
$I_{l}\times R_{M}^{2}+b\times R_{M}+c=0$
(5)
$R_{M}=\dfrac{-b+\sqrt{b^{2}-4\times I_{l}\times c}}{2\times I_{l}}$
(6)
$b=R_{ir1}\times I_{l}+R_{ir2}\times I_{l}$
(7)
$c=R_{ir1}\times R_{ir2}\times I_{l}-V(R_{ir1}-R_{ir2})$

์—ฌ๊ธฐ์„œ, $I_{l}$์€ ๋ˆ„์„ค์ „๋ฅ˜๋‹ค.

RCD๋ฅผ ๋™์ž‘์‹œํ‚ค๊ธฐ ์œ„ํ•œ $I_{l}$์ด 20mA์ด๊ณ  +์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์ด 1Mฮฉ์ผ ๋•Œ, -์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ $R_{ir2}$์— ๋”ฐ๋ฅธ $I_{l}$์ด 20mA๊ฐ€ ํ๋ฅด๊ฒŒ ํ•˜๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ํฌ๊ธฐ $R_{M}$ ๋ฐ ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ๊ฐœ๋ฐฉ์ „์•• $V_{M1,\: open}$์˜ ํฌ๊ธฐ๋Š” ๊ทธ๋ฆผ 2์™€ ๊ฐ™๋‹ค. ๊ทธ๋ฆผ 2๋ฅผ ๋ณด๋ฉด โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์ด 10kฮฉ์ดํ•˜๊ฐ€ ๋˜์–ด์•ผ ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ํฌ๊ธฐ๊ฐ€ ์–‘์˜ ๊ฐ’์„ ๊ฐ€์ง€๊ฒŒ ๋˜๊ณ , ๊ทธ ๋•Œ์˜ ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ๊ฐœ๋ฐฉ์ „์••์€ ์ˆ˜์‹ (1)์— ์˜ํ•ด 380Vร—1Mฮฉ/(1Mฮฉ+10kฮฉ) = 376.2V์ด๋‹ค. ๋งŒ์•ฝ ์ค‘๊ฐ„์  ์ €ํ•ญ์ด 15kฮฉ์ด๋ผ๋ฉด ์ˆ˜์‹ (5)์— ์˜ํ•ด ์ ˆ์—ฐ์ €ํ•ญ์ด 3kฮฉ์ดํ•˜๊ฐ€ ๋˜์–ด์•ผ ๊ฒ€์ถœ์ด ๊ฐ€๋Šฅํ•˜๋ฉฐ ์ด๋•Œ์˜ ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ๊ฐœ๋ฐฉ์ „์••์€ 380Vร—1Mฮฉ/(1Mฮฉ+3kฮฉ) = 378.86V์ด๋‹ค. ์ˆ˜์šฉ๊ฐ€์— ๋”ฐ๋ผ +์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์ด 10Mฮฉ์ด์ƒ์˜ ํฌ๊ธฐ๋ฅผ ๊ฐ€์งˆ ์ˆ˜๊ณ  ์ด๋Ÿฐ ๊ฒฝ์šฐ์—๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ํฌ๊ธฐ๊ฐ€ 15kฮฉ์ผ ๋•Œ, RCD์˜ ์ •๊ฒฉ๊ฐ๋„์ „๋ฅ˜ ์ด์ƒ์˜ ๋ˆ„์„ค์ „๋ฅ˜๊ฐ€ ํ๋ฅด๊ธฐ ์œ„ํ•œ ์ค‘๊ฐ„์  ์ €ํ•ญ์€ 9kฮฉ์ด๊ณ  ์ด๋•Œ์˜ ๊ฐœ๋ฐฉ์ „์••์€ 380Vร—10Mฮฉ/(10Mฮฉ+9kฮฉ) = 379.66V์œผ๋กœ ๊ฑฐ์˜ 380V์— ๊ฐ€๊นŒ์šด ๊ฐ’์ด ๋œ๋‹ค.

๊ทธ๋ฆผ 2. ์ ˆ์—ฐ์ €ํ•ญ ํฌ๊ธฐ์— ๋”ฐ๋ฅธ ์ค‘๊ฐ„์  ์ €ํ•ญ ๋ฐ ์ค‘๊ฐ„์  ์ €ํ•ญ ์–‘๋‹จ ์ „์•• ํฌ๊ธฐ

Fig. 2. Midpoint resistance and voltage magnitude at both terminals of midpoint resistance as a isolation resistance magnitude

../../Resources/kiee/KIEE.2024.73.11.2091/fig2.png

ํ•œ์ชฝ ์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์ด 1Mฮฉ์ด์ƒ์ด๊ณ  ๋‹ค๋ฅธ ์ชฝ ์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์ด ๊ฐ์†Œ ๋˜๋Š” ๊ฒฝ์šฐ๋ฅผ ๊ฒ€์ถœํ•˜๊ธฐ ์œ„ํ•ด์„œ๋Š” ์Šค์œ„์น˜ ํˆฌ์ž… ๋™์ž‘ ์ˆ˜ํ–‰์„ ํ•˜๋Š” ๊ธฐ์ค€๊ฐ’์„ 376V ์ด์ƒ์œผ๋กœ ์„ค์ •ํ•˜์—ฌ์•ผ ํ•˜๋‚˜ ์‹ค์ œ ์ „์•• ๊ณ„์ธก์—๋Š” ์˜ค์ฐจ๊ฐ€ ๋ฐœ์ƒํ•˜๊ฒŒ ๋˜๊ณ  ์ด๋Ÿฌํ•œ ๊ฒฝ์šฐ ์™„์ „์ง€๋ฝ์ด ๋ฐœ์ƒํ•ด๋„ ๊ณ„์ธก์˜ค์ฐจ์— ์˜ํ•ด ์Šค์œ„์น˜๊ฐ€ ํˆฌ์ž…๋™์ž‘์„ ์ˆ˜ํ–‰ํ•˜์ง€ ์•Š๊ฑฐ๋‚˜ ํˆฌ์ž…๋˜์–ด๋„ RCD์˜ ์ •๊ฒฉ๊ฐ๋„์ „๋ฅ˜ ์ด์ƒ์˜ ์ „๋ฅ˜๊ฐ€ ํ๋ฅด์ง€ ์•Š์•„ ์˜ค๋™์ž‘์„ ํ•  ์šฐ๋ ค๊ฐ€ ์žˆ๋‹ค. ๋”ฐ๋ผ์„œ ์ด๋ฅผ ๋ฐฉ์ง€ํ•˜๊ธฐ ์œ„ํ•œ ๋ฐฉ์•ˆ์ด ํ•„์š”ํ•˜๋‹ค.

3. ์ค‘๊ฐ„์  ์ ‘์ง€๋ฐฉ์‹ ๊ธฐ๋ฐ˜์˜ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ๋ฐฉ์•ˆ

3.1 ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ๋ฐฉ์•ˆ

์ œ์•ˆํ•˜๋Š” ๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€ ๋ฐฉ์‹์˜ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ๋ฐฉ์•ˆ์€ ์Šค์œ„์น˜์˜ ํˆฌ์ž…/๊ฐœ๋ฐฉ ๋™์ž‘์— ๋”ฐ๋ผ ๊ณ„์ธก๋˜๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ ๊ฐœ๋ฐฉ ์ „์••์„ ํ™œ์šฉํ•˜์—ฌ +์ „๋กœ ๋ฐ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์„ ์ถ”์ •ํ•˜๋Š” ๋ฐฉ์•ˆ์ด๋‹ค. ๊ธฐ์กด์˜ ๋ฐฉ์‹์—์„œ๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ๊ฐœ๋ฐฉ์ „์••๋งŒ์„ ํ™œ์šฉํ•˜์˜€์ง€๋งŒ ์ค‘๊ฐ„์  ์ €ํ•ญ ์Šค์œ„์น˜๊ฐ€ ํˆฌ์ž…๋˜์—ˆ์„ ๋•Œ์˜ ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ์ „์••๊ณ„์ธก ๊ฐ’์„ ํ™œ์šฉํ•œ๋‹ค๋ฉด ์ ˆ์—ฐ์ €ํ•ญ์˜ ์ถ”์ •์ด ๊ฐ€๋Šฅํ•˜๋‹ค.

๋จผ์ € ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ๊ฐœ๋ฐฉ์ „์••์€ ์•ž์„œ ์–ธ๊ธ‰ํ•œ ๊ฒƒ์ฒ˜๋Ÿผ ์ˆ˜์‹ (1) ๋ฐ (2)์™€ ๊ฐ™์ด ๊ณ„์‚ฐํ•  ์ˆ˜ ์žˆ๋‹ค. ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ์Šค์œ„์น˜ ํˆฌ์ž… ์‹œ์˜ ๋“ฑ๊ฐ€ํšŒ๋กœ๋Š” ๊ทธ๋ฆผ 3๊ณผ ๊ฐ™์ด ๋‚˜ํƒ€๋‚ผ ์ˆ˜ ์žˆ๋‹ค.

๊ทธ๋ฆผ 3. ์Šค์œ„์น˜ ํˆฌ์ž… ์‹œ ์ค‘๊ฐ„์  ์ ‘์ง€ ์‹œ์Šคํ…œ์˜ ๋“ฑ๊ฐ€ํšŒ๋กœ

Fig. 3. The equivalent circuit of the midpoint grounding system in closed state.

../../Resources/kiee/KIEE.2024.73.11.2091/fig3.png

๊ทธ๋ฆผ 3์„ ๋ณด๋ฉด ์ค‘๊ฐ„์  ์ €ํ•ญ ์–‘๋‹จ์— ๊ฑธ๋ฆฌ๋Š” ์ „์••์€ ์ค‘๊ฐ„์  ์ €ํ•ญ๊ณผ ์ ˆ์—ฐ์ €ํ•ญ์˜ ํ•ฉ์„ฑ์ €ํ•ญ ๋น„์— ๋”ฐ๋ผ ๋ถ„๋ฐฐ๋˜๊ฒŒ ๋œ๋‹ค. ๋”ฐ๋ผ์„œ ์Šค์œ„์น˜ ํˆฌ์ž…์‹œ์˜ ์ค‘๊ฐ„์  ์–‘๋‹จ์˜ ์ „์••์€ ์ˆ˜์‹ (8)~(11)์„ ํ†ตํ•ด ๊ณ„์‚ฐ ํ•  ์ˆ˜ ์žˆ๋‹ค.

(8)
$V_{M1,\: close}=\dfrac{R_{par1}}{R_{par1}+R_{par2}}\times V_{S}$
(9)
$V_{M2,\: close}=\dfrac{R_{par2}}{R_{par1}+R_{par2}}\times V_{S}$
(10)
$R_{par1}=\dfrac{R_{M1}\times R_{ir1}}{R_{M1}+R_{ir1}}$
(11)
$R_{par2}=\dfrac{R_{M2}\times R_{ir2}}{R_{M2}+R_{ir2}}$

์ˆ˜์‹ (1), (2), (8)~(11)์—์„œ ์‹œ์Šคํ…œ ์ „์•• $V_{S}$๋Š” 380V์œผ๋กœ ์ผ์ •ํ•˜๋‹ค๊ณ  ๊ฐ€์ •ํ•˜๊ณ , ์ „์••์˜ ๊ฒฝ์šฐ ๊ณ„์ธก์„ ํ†ตํ•ด ์•Œ ์ˆ˜ ์žˆ์œผ๋ฉฐ ์ค‘๊ฐ„์  ์ €ํ•ญ ๋˜ํ•œ ์ฒ˜์Œ ์„ค์น˜ ์‹œ ๊ณ ์ •๋œ ๊ฐ’์ด๋ฏ€๋กœ ์•Œ ์ˆ˜ ์—†๋Š” ๊ฐ’์€ +์ „๋กœ์™€ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ $R_{ir1}$, $R_{ir2}$ ์ด๋‹ค. ์ˆ˜์‹ (1), (2), (8), (9)๋ฅผ $R_{ir1}$, $R_{ir2}$์— ๋Œ€ํ•ด ์ •๋ฆฌํ•˜๋ฉด ๋‹ค์Œ๊ณผ ๊ฐ™์ด ๋‚˜ํƒ€๋‚ผ ์ˆ˜ ์žˆ๋‹ค.

(12)
$R_{ir1}=-\dfrac{R_{M}\times(b_{1}-c_{1})}{2\times b_{1}+c_{1}-b_{1}\times c_{1}-2}$
(13)
$R_{ir2}=-\dfrac{R_{M}\times b_{2}-R_{M}\times c_{2}}{2\times b_{2}+c_{2}-b_{2}\times c_{2}-2}$
(14)
$b_{1}=\dfrac{V_{S}}{V_{M1,\: open}}$
(15)
$c_{1}=\dfrac{V_{S}}{V_{M1,\: close}}$
(16)
$b_{2}=\dfrac{V_{S}}{V_{M2,\: open}}$
(17)
$c_{2}=\dfrac{V_{S}}{V_{M2,\: close}}$

3.2 ์‹œ๋ฎฌ๋ ˆ์ด์…˜์„ ํ†ตํ•œ ๊ฒ€์ฆ

์ œ์•ˆ๋ฐฉ์‹์„ ํ™œ์šฉํ•˜์—ฌ ์ ˆ์—ฐ์ €ํ•ญ์˜ ์ถ”์ •์ด ๊ฐ€๋Šฅํ•œ์ง€ ๊ฒ€์ฆํ•˜๊ธฐ ์œ„ํ•ด MATLAB/SIMULINK ํ™˜๊ฒฝ์—์„œ ์‹œ๋ฎฌ๋ ˆ์ด์…˜์„ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ์‹œ๋ฎฌ๋ ˆ์ด์…˜์€ ๊ทธ๋ฆผ 4๊ณผ ๊ฐ™์€ ์ €์••์ง๋ฅ˜ ์‹œ์Šคํ…œ์„ SIMULINK์ƒ์— ๊ตฌํ˜„ํ•˜๊ณ  ํ•ด๋‹น ์‹œ์Šคํ…œ์—์„œ ์ ˆ์—ฐ์ €ํ•ญ์˜ ์ฐธ๊ฐ’๊ณผ ์ถ”์ •๊ฐ’์˜ ๋น„๊ต๋ฅผ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค.

๊ทธ๋ฆผ 4. SIMULINK์— ๊ตฌํ˜„ํ•œ ํ…Œ์ŠคํŠธ ์‹œ์Šคํ…œ

Fig. 4. Test system implemented in SIMULINK

../../Resources/kiee/KIEE.2024.73.11.2091/fig4.png

์‹œ๋ฎฌ๋ ˆ์ด์…˜์—์„œ๋Š” ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ์Šค์œ„์น˜๋ฅผ ๋‹ซ๋Š” ๊ธฐ์ค€๊ฐ’์„ 300V๋กœ ๊ฐ€์ •ํ•˜์—ฌ ๊ฐ ๊ฐ’๋“ค์„ ์„ค์ •ํ•˜์˜€๋‹ค. $V_{S}$๋Š” 380V, ์ค‘๊ฐ„์  ์ €ํ•ญ $R_{M1}$, $R_{M2}$๋Š” 15kฮฉ, ์„ ๋กœ ์ €ํ•ญ $R_{l1}$, $R_{l2}$๋Š” 0.1ฮฉ, ๋ถ€ํ•˜์ €ํ•ญ $R_{load}$๋Š” 380ฮฉ์œผ๋กœ ์„ค์ •ํ•˜์˜€๋‹ค. +์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ $R_{ir1}$์€ 1Mฮฉ์œผ๋กœ ๊ณ ์ •ํ•˜๊ณ  โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ $R_{ir2}$์˜ ๊ฒฝ์šฐ ์ค‘๊ฐ„์  ์ €ํ•ญ $R_{M1}$์˜ ๊ฐœ๋ฐฉ์ „์••์ด 300V์ด์ƒ์ด ๋˜๋Š” $R_{ir2}$๊ฐ€ ์•ฝ 266kฮฉ์ด๋ฏ€๋กœ 300kฮฉ์—์„œ๋ถ€ํ„ฐ 0ฮฉ๊นŒ์ง€ ๊ฐ์†Œ์‹œํ‚ค๋ฉฐ ๋น„๊ต๋ฅผ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๊ฒฐ๊ณผ๋Š” ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ์„ค์ •๊ฐ’๊ณผ ์ถ”์ •๊ฐ’ ํฌ๊ธฐ ๋น„๊ต ๋ฐ ์ถ”์ •๊ฐ’์˜ ์˜ค์ฐจ์œจ(Percentage Error)์„ ๋น„๊ตํ•˜์˜€๋‹ค. ์˜ค์ฐจ์œจ์€ ์ฐธ๊ฐ’๊ณผ ์ถ”์ •๊ฐ’์˜ ํŽธ์ฐจ๋ฅผ ์ฐธ๊ฐ’์œผ๋กœ ๋‚˜๋ˆˆ ํ›„ 100์„ ๊ณฑํ•œ ๊ฐ’์œผ๋กœ ์ˆ˜์‹ (18)๊ณผ ๊ฐ™์ด ๊ณ„์‚ฐ์ด ๊ฐ€๋Šฅํ•˜๋‹ค.

(18)
$Percentage Error=\left |\dfrac{R_{i}-E_{i}}{R_{i}}\right |\times 100$

์—ฌ๊ธฐ์„œ, $R_{i}$๋Š” ์ฐธ๊ฐ’, $E_{i}$๋Š” ์ถ”์ •๊ฐ’์ด๋‹ค.

๋จผ์ € ๊ทธ๋ฆผ 5 ๋ฐ 6์„ ๋ณด๋ฉด +์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ๊ณผ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์„ ์ถ”์ •ํ•œ ๊ฒฐ๊ณผ๋ฅผ ํ™•์ธ ํ•  ์ˆ˜ ์žˆ๋‹ค. ๊ทธ๋ฆผ 5 ๋ฐ 6์—์„œ $R_{ir1}$ Estimated Value๋Š” +์ „๋กœ ์ ˆ์—ฐ์ €ํ•ญ์˜ ์ถ”์ •๊ฐ’, $R_{ir1}$ True Value๋Š” +์ „๋กœ ์ ˆ์—ฐ์ €ํ•ญ์˜ ์ฐธ๊ฐ’, $R_{ir2}$ Estimated Value๋Š” โ€“์ „๋กœ ์ ˆ์—ฐ์ €ํ•ญ์˜ ์ถ”์ •๊ฐ’, $R_{ir2}$ True Value๋Š” โ€“์ „๋กœ ์ ˆ์—ฐ์ €ํ•ญ์˜ ์ฐธ๊ฐ’์ด๋‹ค. $R_{ir1}$์˜ ๊ฒฝ์šฐ, ๋Œ€๋ถ€๋ถ„์˜ ๊ตฌ๊ฐ„์—์„œ ์ ˆ์—ฐ์ €ํ•ญ์„ ๊ฑฐ์˜ ์ •ํ™•ํ•˜๊ฒŒ ์ถ”์ •ํ•˜์˜€์œผ๋‚˜, $R_{ir2}$๊ฐ€ $R_{ir1}$์— ๋น„ํ•ด ํฌ๊ฒŒ ์ž‘์•„์ง€๋ฉด ์˜ค์ฐจ๊ฐ€ ์ปค์ง€๋Š” ๊ฒƒ์„ ํ™•์ธํ•˜์˜€๋‹ค. ๊ทธ๋ฆผ 6์€ $R_{ir1}$ ๋ฐ $R_{ir2}$์˜ ์˜ค์ฐจ์œจ์„ ๋น„๊ตํ•œ ๊ทธ๋ž˜ํ”„์ด๋‹ค. $R_{ir2}$์˜ ๊ฒฝ์šฐ $R_{ir1}$์— ๋น„ํ•ด ๋ชจ๋“  ๊ตฌ๊ฐ„์—์„œ ๊ฑฐ์˜ ์ •ํ™•ํ•˜๊ฒŒ ์ ˆ์—ฐ์ €ํ•ญ์„ ์ถ”์ •ํ•˜์˜€์œผ๋ฉฐ ์ตœ๋Œ€ ์˜ค์ฐจ์œจ์ด 0.04%์ดํ•˜์˜€๋‹ค.

๊ทธ๋ฆผ 5. ์ „์•• ๊ณ„์ธก ์˜ค์ฐจ๊ฐ€ ์—†์„ ๊ฒฝ์šฐ์˜ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ๊ฒฐ๊ณผ (a) $R_{ir1}$ ์ฐธ๊ฐ’ ๋ฐ ์ถ”์ •๊ฐ’, (b) $R_{ir2}$ ์ฐธ๊ฐ’ ๋ฐ ์ถ”์ •๊ฐ’

Fig. 5. Insulation resistance estimation results without voltage measurement error (a) True and estimated values of a $R_{ir1}$, (b) True and estimated values of a $R_{ir2}$

../../Resources/kiee/KIEE.2024.73.11.2091/fig5.png

๊ทธ๋ฆผ 6. ์ „์•• ๊ณ„์ธก์˜ค์ฐจ๊ฐ€ ์—†์„ ๊ฒฝ์šฐ์˜ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ์˜ค์ฐจ์œจ (a) $R_{ir1}$ ์˜ ์˜ค์ฐจ์œจ, (b) $R_{ir2}$์˜ ์˜ค์ฐจ์œจ

Fig. 6. Percentage error for insulation resistance estimation without voltage measurement error (a) percentage error of $R_{ir1}$, (b) percentage error of $R_{ir2}$

../../Resources/kiee/KIEE.2024.73.11.2091/fig6.png

๊ทธ๋ฆผ 5์™€ 6์˜ ๊ฒฐ๊ณผ๋Š” ์ „์•• ๊ณ„์ธก์˜ ์˜ค์ฐจ๊ฐ€ ์—†๋Š” ๊ฒฝ์šฐ๋ฅผ ๊ฐ€์ •ํ•œ ๊ฒฐ๊ณผ์ด๋‹ค. ์˜ค์ฐจ๋ฅผ ๊ณ ๋ คํ•œ ์‹œ๋ฎฌ๋ ˆ์ด์…˜์„ ์ˆ˜ํ–‰ํ•˜๊ธฐ ์œ„ํ•ด์„œ๋Š” ์•ž์„œ ์ˆ˜์‹์— ์‚ฌ์šฉ๋˜๋Š” $V_{M1,\: open}$, $V_{M2,\: open}$, $V_{M1,\: close}$ ๋ฐ $V_{M2,\: close}$์˜ ์ˆ˜์ •์ด ํ•„์š”ํ•˜๋‹ค. ํ•ด๋‹น ์ˆ˜์‹์€ $V_{M1,\: open}$๊ณผ $V_{M2,\: open}$์˜ ํ•ฉ, $V_{M1,\: close}$ ๋ฐ $V_{M2,\: close}$์˜ ํ•ฉ์ด ์ •ํ™•ํžˆ $V_{S}$์™€ ์ผ์น˜ํ•œ๋‹ค๋Š” ๊ฐ€์ •์œผ๋กœ ์ˆ˜๋ฆฝ๋œ ์ˆ˜์‹์ด๋ฏ€๋กœ ์ˆ˜์‹ (19) ~ (22)์™€ ๊ฐ™์ด ๋ณด์ •์„ ์ˆ˜ํ–‰ํ•˜๋ฉด ์ „์•• ๊ณ„์ธก ์˜ค์ฐจ๋ฅผ ๊ณ ๋ คํ•œ ์ ˆ์—ฐ์ €ํ•ญ ๊ฐ’ ์ถ”์ •์ด ๊ฐ€๋Šฅํ•˜๋‹ค.

(19)
$V_{M1,\: open}'=\dfrac{V_{S}}{V_{M1,\: open}+V_{M2,\: open}}\times V_{M1,\: open}$
(20)
$V_{M2,\: open}'=\dfrac{V_{S}}{V_{M1,\: open}+V_{M2,\: open}}\times V_{M2,\: open}$
(21)
$V_{M1,\: close}'=\dfrac{V_{S}}{V_{M1,\: close}+V_{M2,\: close}}\times V_{M1,\: close}$
(22)
$V_{M2,\: close}'=\dfrac{V_{S}}{V_{M1,\: close}+V_{M2,\: close}}\times V_{M2,\: close}$

๊ณ„์ธก๊ฐ’์˜ ๋ณด์ •์„ ํ†ตํ•ด ์ „์••๊ณ„์ธก์˜ ์˜ค์ฐจ๊ฐ€ 0.5%์ผ ๋•Œ์˜ ์‹œ๋ฎฌ๋ ˆ์ด์…˜์„ ์ˆ˜ํ–‰ํ•˜์˜€๊ณ  ๊ทธ ๊ฒฐ๊ณผ๋Š” ๊ทธ๋ฆผ 7, 8๊ณผ ๊ฐ™๋‹ค. ๊ทธ๋ž˜ํ”„๋ฅผ ๋ณด๋ฉด ์ „์••๊ณ„์ธก ์˜ค์ฐจ๋กœ ์ธํ•˜์—ฌ ๊ทธ๋ฆผ 5, 6์— ๋น„ํ•ด ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ์˜ค์ฐจ๊ฐ€ ๋ณด๋‹ค ํฌ๊ฒŒ ๋ฐœ์ƒํ•˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ์œผ๋‚˜ ์˜ค์ฐจ์œจ์„ ๋ณด๋ฉด ๋Œ€๋ถ€๋ถ„ 10%์ดํ•˜์ด๊ณ  $R_{ir2}$์ด ์ž‘์•„์งˆ์ˆ˜๋ก ๋ณด๋‹ค ์ •ํ™•ํ•˜๊ฒŒ ์ถ”์ •ํ•˜๋Š” ๊ฒƒ์„ ๋ณผ ์ˆ˜ ์žˆ๋‹ค.

๊ทธ๋ฆผ 7. ์ „์•• ๊ณ„์ธก์˜ค์ฐจ๊ฐ€ ์žˆ์„ ๊ฒฝ์šฐ์˜ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ๊ฒฐ๊ณผ(a) $R_{ir1}$ ์ฐธ๊ฐ’ ๋ฐ ์ถ”์ •๊ฐ’, (b) $R_{ir2}$ ์ฐธ๊ฐ’ ๋ฐ ์ถ”์ •๊ฐ’

Fig. 7. Insulation resistance estimation results with voltage measurement error (a) True and estimated values of a $R_{ir1}$, (b) True and estimated values of a $R_{ir2}$

../../Resources/kiee/KIEE.2024.73.11.2091/fig7.png

4. ์‹คํ—˜์„ ํ†ตํ•œ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ๋ฐฉ์•ˆ ๊ฒ€์ฆ

4.1 ์‹คํ—˜ํ™˜๊ฒฝ ๊ตฌ์„ฑ

์‹คํ—˜ํ™˜๊ฒฝ์€ ๊ทธ๋ฆผ 9์™€ ๊ฐ™์ด Y-Y 3์ƒ 4์„ ์‹ ๋ณ€์••๊ธฐ, DC ํŒŒ์›Œ์„œํ”Œ๋ผ์ด, DC/DC ์ปจ๋ฒ„ํ„ฐ, ์ ‘์ง€ ์‹œ๋ฎฌ๋ ˆ์ดํ„ฐ, ์ ˆ์—ฐ๊ณ ์žฅ ์‹œ๋ฎฌ๋ ˆ์ดํ„ฐ, DC ๋ถ€ํ•˜๋กœ ๊ตฌ์„ฑํ•˜์˜€๋‹ค. DC ํŒŒ์›Œ์„œํ”Œ๋ผ์ด๋Š” 3์ƒ ๊ต๋ฅ˜ ์ „์›์„ ์ž…๋ ฅ ๋ฐ›์•„ ์ง๋ฅ˜์ „์›์„ ๊ณต๊ธ‰ํ•˜๋Š” ์žฅ์น˜๋กœ DC ํŒŒ์›Œ์„œํ”Œ๋ผ์ด๋ฅผ ํ†ตํ•ด 750Vdc๋ฅผ ๊ณต๊ธ‰ํ•˜์˜€๋‹ค. DC/DC ์ปจ๋ฒ„ํ„ฐ๋Š” Dual Active Bridge ํ† ํด๋กœ์ง€๋กœ ๊ตฌ์„ฑ๋œ ์ ˆ์—ฐํ˜• ์ปจ๋ฒ„ํ„ฐ๋กœ ํ•ด๋‹น ์ปจ๋ฒ„ํ„ฐ๋ฅผ ํ†ตํ•ด DC ํŒŒ์›Œ์„œํ”Œ๋ผ์ด์—์„œ ๊ณต๊ธ‰๋œ 750Vdc๋ฅผ 380Vdc๋กœ ๋ณ€ํ™˜ํ•˜์—ฌ ๋ถ€ํ•˜์— ๊ณต๊ธ‰ํ•˜๋„๋ก ํ•˜์˜€๋‹ค. ์ ‘์ง€ ์‹œ๋ฎฌ๋ ˆ์ดํ„ฐ๋Š” ์Šค์œ„์น˜ ์ œ์–ด๋ฅผ ํ†ตํ•ด ์ ‘์ง€์‹œ์Šคํ…œ์„ TT, TN, IT ๋“ฑ์˜ ์ ‘์ง€์‹œ์Šคํ…œ์œผ๋กœ ๋ณ€ํ™˜์ด ๊ฐ€๋Šฅํ•˜๋ฉฐ ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ํฌ๊ธฐ๋ฅผ ๋ณ€๊ฒฝ์‹œํ‚ฌ ์ˆ˜ ์žˆ๋Š”

๊ทธ๋ฆผ 8. ์ „์•• ๊ณ„์ธก์˜ค์ฐจ๊ฐ€ ์žˆ์„ ๊ฒฝ์šฐ์˜ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ์˜ค์ฐจ์œจ (a) $R_{ir1}$ ์˜ ์˜ค์ฐจ์œจ, (b) $R_{ir2}$์˜ ์˜ค์ฐจ์œจ

Fig. 8. Percentage error for estimating insulation resistance with voltage measurement error(a) percentage error of $R_{ir1}$, (b) percentage error of $R_{ir2}$

../../Resources/kiee/KIEE.2024.73.11.2091/fig8.png

์žฅ์น˜๋กœ ํ•ด๋‹น ์‹คํ—˜์—์„œ๋Š” IT ์ค‘๊ฐ„์  ์ ‘์ง€๋ฐฉ์‹์œผ๋กœ ๊ตฌ์„ฑํ•˜๋„๋ก ํ•˜๊ณ  ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ํฌ๊ธฐ๋ฅผ 15kฮฉ์œผ๋กœ ์„ค์ •ํ•˜์˜€๋‹ค. ์ ˆ์—ฐ๊ณ ์žฅ ์‹œ๋ฎฌ๋ ˆ์ดํ„ฐ๋Š” +์ „๋กœ์™€ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์˜ ํฌ๊ธฐ๋ฅผ ๋ณ€๊ฒฝ์‹œํ‚ฌ ์ˆ˜ ์žˆ๋Š” ์žฅ์น˜๋กœ +์ „๋กœ์™€ โ€“์ „๋กœ์˜ ํฌ๊ธฐ๋ฅผ ํ‘œ 1๊ณผ ๊ฐ™์ด ๋ณ€๊ฒฝํ•˜๋Š”๋ฐ ์‚ฌ์šฉํ•˜์˜€๋‹ค. DC ๋ถ€ํ•˜๋Š” ์ €ํ•ญ์„ฑ ๋ถ€ํ•˜๋กœ 380Vdc์˜ ์ „์••์—์„œ 0.5A์—์„œ๋ถ€ํ„ฐ ์ตœ๋Œ€ 50A๊นŒ์ง€์˜ ๋ถ€ํ•˜์ „๋ฅ˜๋ฅผ ๋ชจ์˜ํ•  ์ˆ˜ ์žˆ๋Š” ์žฅ์น˜๋กœ ํ•ด๋‹น ์‹คํ—˜์—์„œ๋Š” 380Vdc์—์„œ 1A๊ฐ€ ํ๋ฅด๋„๋ก ์„ค์ •ํ•˜์˜€๋‹ค.

4.2 ์‹คํ—˜์ˆ˜ํ–‰ ๊ฒฐ๊ณผ

์‹คํ—˜์€ $R_{ir1}$์„1Mฮฉ์œผ๋กœ ๊ณ ์ •์‹œํ‚จ ์ƒํƒœ์—์„œ $R_{ir2}$๋ฅผ 300kฮฉ์—์„œ 100kฮฉ๊นŒ์ง€ 100kฮฉ์”ฉ ๊ฐ์†Œ์‹œ์ผœ ๊ฐ€๋ฉฐ ์‹คํ—˜์„ ์ˆ˜ํ–‰ํ•˜์˜€๋‹ค. ์‹คํ—˜์„ ์ˆ˜ํ–‰ํ•˜๋ฉด์„œ ๋ฉ€ํ‹ฐ๋ฏธํ„ฐ๋ฅผ ์ด์šฉํ•˜์—ฌ $V_{S}$, $V_{M1,\: open}$, $V_{M2,\: open}$, $V_{M1,\: close}$ ๋ฐ $V_{M1,\: close}$๋ฅผ ๊ณ„์ธกํ•˜์˜€๋‹ค. ์‹คํ—˜ ๊ฒฐ๊ณผ๋Š” ํ‘œ 1 ๋ฐ ํ‘œ 2์™€ ๊ฐ™๋‹ค.

ํ‘œ 1์—์„œ $R_{ir1,\: e}$ ๋ฐ $R_{ir2,\: e}$๋Š” ์‹คํ—˜ ์ˆ˜ํ–‰ ์ค‘์— ๊ณ„์ธกํ•œ ์ „์••๊ฐ’๋“ค์„ ์ด์šฉํ•˜์—ฌ +์ „๋กœ ๋ฐ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์„ ์ธก์ •ํ•œ ๊ฐ’์ด๋‹ค. ์ถ”์ • ๊ฒฐ๊ณผ๋ฅผ ๋ณด๋ฉด ์‹ค์ œ ๊ฐ’๊ณผ ๊ฑฐ์˜ ์œ ์‚ฌํ•˜๊ฒŒ ์ธก์ •ํ•œ ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ์—ˆ๋‹ค. ํ‘œ 2๋Š” ์ ˆ์—ฐ์ €ํ•ญ์˜ ์ถ”์ •๊ฐ’๊ณผ ์„ค์ •๊ฐ’์˜ ์˜ค์ฐจ์œจ์„ ๋‚˜ํƒ€๋‚ธ ํ‘œ๋กœ $R_{ir1}$ ๋ฐ $R_{ir2}$ ๋ชจ๋‘ ์˜ค์ฐจ์œจ์ด 2% ๋ฏธ๋งŒ์ธ ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ์—ˆ์œผ๋ฉฐ ์ƒ๋Œ€์ ์œผ๋กœ ์ ˆ์—ฐ์ €ํ•ญ์˜ ํฌ๊ธฐ๊ฐ€ ์ž‘์€ $R_{ir2}$๋ฅผ ๋” ์ •ํ™•ํ•˜๊ฒŒ ์ถ”์ •ํ•˜๋Š” ๊ฒƒ์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ๋‹ค.

5. ๊ฒฐ ๋ก 

๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ๊ฐœ๋ฐฉํ˜• ์ค‘๊ฐ„์  ์ ‘์ง€๋ฐฉ์‹์˜ ํ•œ๊ณ„๋ฅผ ๊ทน๋ณตํ•˜๊ธฐ ์œ„ํ•ด ์ค‘๊ฐ„์  ์ €ํ•ญ์˜ ์Šค์œ„์น˜์˜ ๊ฐœ๋ฐฉ/ํˆฌ์ž… ์‹œ ์ „์•• ๊ณ„์ธก์„ ํ†ตํ•ด+์ „๋กœ์™€ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ์„ ์ถ”์ •ํ•˜๋Š” ๋ฐฉ์•ˆ์„ ์ œ์•ˆํ•˜์˜€๋‹ค. ๋˜ํ•œ ์ œ์•ˆํ•œ ๋ฐฉ์‹์€ ์ „์•• ๊ณ„์ธก ์˜ค์ฐจ๋ฅผ ๊ณ ๋ คํ•˜๊ธฐ ์œ„ํ•œ ๋ณด์ •๋ฐฉ์•ˆ์„ ํ†ตํ•ด ์ „์••๊ณ„์ธก ์˜ค์ฐจ๊ฐ€ ์กด์žฌํ•˜๋”๋ผ๋„ ์ ˆ์—ฐ์ €ํ•ญ์„ ๋†’์€ ์ •ํ™•๋„๋กœ ์ถ”์ •ํ•จ์„ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋ฐ ์‹คํ—˜์„ ํ†ตํ•ด ๊ฒ€์ฆํ•˜์˜€๋‹ค.

ํ‘œ 1 ์ ˆ์—ฐ์ €ํ•ญ ์„ค์ •๊ฐ’, ์ถ”์ •๊ฐ’ ๋ฐ ์ „์•• ๊ณ„์ธก ๊ฐ’

Table 1 Insulation resistance set values, estimates, and voltage measurement values

Case

$R _{ir1}$

[ฮฉ]

$R _{ir2}$

[ฮฉ]

$V _{M1,open}$

[V]

$V _{M2,open}$

[V]

$V _{M1,close}$

[V]

$V _{M2,close}$

[V]

$V _{S}$

[V]

$R _{ir1,e}$

[ฮฉ]

$R _{ir2,e}$

[ฮฉ]

1

1Mฮฉ

300kฮฉ

285.0V

85.7V

192.8V

186.3V

379.3V

983.5kฮฉ

295.7kฮฉ

2

1Mฮฉ

200kฮฉ

310.6V

62.4V

195.0V

184.1V

379.3V

991.3kฮฉ

199.2kฮฉ

3

1Mฮฉ

100kฮฉ

341.4V

34.47V

201.3V

177.8V

379.3V

994.2kฮฉ

100.4kฮฉ

๊ทธ๋ฆผ 9. ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ์‹คํ—˜ ๊ตฌ์„ฑ

Fig. 9. Configure an Insulation Resistance Estimation Experiment

../../Resources/kiee/KIEE.2024.73.11.2091/fig9.png

ํ‘œ 2 ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ • ์˜ค์ฐจ์œจ

Table 2 Insulation resistance estimation percentage error

Case

$R _{ir1,e}$  percentage error [%]

$R _{ir2,e}$  percentage error [%]

1

1.65

1.42

2

0.86

0.42

3

0.58

0.38

์ œ์•ˆํ•œ ๋ฐฉ์‹์„ ํ†ตํ•ด ์ค‘๊ฐ„์  ์ €ํ•ญ ์–‘๋‹จ์ „์••์ด ํŠน์ •๊ฐ’ ์ด์ƒ์ด ๋˜์–ด ์Šค์œ„์น˜๊ฐ€ ํˆฌ์ž…๋™์ž‘์„ ์ˆ˜ํ–‰ํ–ˆ์„ ๋•Œ, RCD๋“ฑ์˜ ์ •๊ฒฉ๊ฐ๋„์ „๋ฅ˜ ์ด์ƒ์˜ ์ „๋ฅ˜๊ฐ€ ํ๋ฅด์ง€ ์•Š์•„๋„ ์ „์•• ๊ณ„์ธก๊ฐ’์„ ํ†ตํ•ด +์ „๋กœ ๋ฐ โ€“์ „๋กœ์˜ ์ ˆ์—ฐ์ €ํ•ญ ํฌ๊ธฐ๋ฅผ ์ถ”์ •ํ•˜์—ฌ ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ •์น˜๋ฅผ ๊ธฐ๋ฐ˜์œผ๋กœ ์ ์ • ๋™์ž‘์˜ ์ˆ˜ํ–‰์ด ๊ฐ€๋Šฅํ•˜๋‹ค.

์ œ์•ˆํ•œ ๋ฐฉ์‹์€ ์ ˆ์—ฐ์ €ํ•ญ์ด ์ปค์งˆ์ˆ˜๋ก ์ถ”์ •์˜ค์ฐจ๊ฐ€ ์ปค์ง€๋Š” ๊ฒฝํ–ฅ์„ ๋ณด์˜€์œผ๋‚˜ ์ „๊ธฐ์•ˆ์ „ ์ธก๋ฉด์—์„œ ๋ณด๋‹ค ์ค‘์š”ํ•œ ์ ˆ์—ฐ์ €ํ•ญ์ด ๋‚ฎ์€ ๊ฒฝ์šฐ์— ๋†’์€ ์ •ํ™•๋„๋ฅผ ๋ณด์˜€๋‹ค. ์ฃผ๋กœ IN, IT ์‹œ์Šคํ…œ์„ ์ ์šฉํ•˜๋Š” ์ €์••์ง๋ฅ˜ ์ˆ˜์šฉ๊ฐ€์— ์ ์šฉ ์‹œ ํ•œ ์ชฝ์˜ ์ค‘๊ฐ„์  ์ €ํ•ญ ์–‘๋‹จ์ „์••์ด ํŠน์ •๊ฐ’์„ ๋„˜์–ด ์Šค์œ„์น˜๊ฐ€ ํˆฌ์ž…๋˜์—ˆ์„ ๋•Œ, ์•ˆ์ „๊ด€๋ฆฌ์ž ๋“ฑ์ด ์ ˆ์—ฐ์ €ํ•ญ ์ถ”์ •๊ฐ’์„ ํ™•์ธํ•˜์—ฌ ์„ค๋น„์˜ ์ด์ƒ์œ ๋ฌด ํŒ๋‹จ์— ๋„์›€์„ ์ค„ ์ˆ˜ ์žˆ์„๊ฒƒ์œผ๋กœ ๊ธฐ๋Œ€๋˜๋ฉฐ, ํ–ฅํ›„ ์ œ์•ˆ๋ฐฉ์•ˆ์„ ๊ธฐ๋ฐ˜์œผ๋กœ ์ ์ ˆํ•œ ์Šค์œ„์น˜ ๋™์ž‘์ „์••, ์ œ์–ด์ฃผ๊ธฐ ๋“ฑ์˜ ์ œ์–ด ์•Œ๊ณ ๋ฆฌ์ฆ˜ ๊ฐœ๋ฐœ ๋ฐ ์‹ค์ฆ์„ ํ†ตํ•œ ๊ฒ€์ฆ์„ ์ˆ˜ํ–‰ํ•  ์˜ˆ์ •์ด๋‹ค.

Acknowledgements

๋ณธ ๋…ผ๋ฌธ์€ 2024๋…„๋„ ์ •๋ถ€(์‚ฐ์—…ํ†ต์ƒ์ž์›๋ถ€)์˜ ์žฌ์›์œผ๋กœ ํ•œ๊ตญ์—๋„ˆ์ง€๊ธฐ์ˆ ํ‰๊ฐ€์›์˜ ์ง€์›์„ ๋ฐ›์•„ ์ˆ˜ํ–‰๋œ ์—ฐ๊ตฌ์ž„(No. RS-2024-00424413, ์ธ๊ณต์ง€๋Šฅ ๊ธฐ๋ฐ˜ ๊ณ ํšจ์œจ MCS/์ดˆ๊ธ‰์† ์ถฉ์ „์‹œ์Šคํ…œ ๊ฐœ๋ฐœ ๋ฐ ์‹ค์ฆ)

References

1 
S. Y. Oh, โ€œTechnical trends and prospects for LVDC(low voltage direct current) distribution,โ€ The Korean Institute of Electrical Engineers, vol. 69, no. 12, pp. 21~28, 2020URL
2 
Heerim Architects & Planners, Nikken Sekkei, โ€œHD HYUNDAI Global R&D Center,โ€ Monthly Concept, no. 292, pp. 18~29, 2023URL
3 
S. W. Kim, J. T. Cho, Y. P. Kim, H. J. Kim, W. W. Kim, J. W. Lee and J. Y. Kim, โ€œOperational Characteristic Analysis for Power Distribution System Connected with DC Customers,โ€ Proceedings of the autumn Meeting of the Korean Institute of Electrical Engineers, pp. 356~357, 2022URL
4 
IEC, โ€œIEC 60364-1 : Low-voltage electrical installations - Part 1: Fundamental principles, assessment of general characteristics, definitions,โ€ 2005URL
5 
K. Y. Kim, H. D. Lee, D. H. Tae and D. S. Rho, โ€œAlgorithm of Detecting Ground Fault by Using Insulation Monitoring Device(IMD) in Ungrounded DC System,โ€ Journal of the Korea Academia-Industrial cooperation Society, vol. 21, no. 9, pp. 528~535, 2020.DOI:10.5762/KAIS.2020.21.9.52DOI
6 
D. S. Lim, K. Y. Lee, D. W. Kim, D. J. Chae, S. T. Lim and J. H. Mun, โ€œAn Analysis on Characteristics of High Resistance Impedance Mid-Point Grounding Method for the 2-Wire LVDC Power System,โ€ The transactions of The Korean Institute of Electrical Engineers, vol. 70, no. 6, pp. 936~944, 2021.DOI:10.5370/KIEE.2021.70.6.93URL
7 
C. H. Oh, K. Y. Lee, D. J. Chae and S. T. Lim, โ€œStudy of an Open High Resistance Mid-point Grounding for Loss Reduction in Low Voltage Direct Current Distribution Power System,โ€ Proceedings of the Summer Meeting of the Korean Institute of Electrical Engineers, pp. 2486~2487, 2024URL

์ €์ž์†Œ๊ฐœ

์˜ค์ฐฌํ˜ (Chan-Hyeok Oh)
../../Resources/kiee/KIEE.2024.73.11.2091/au1.png

He received B.S., M.S. and Ph.D. degrees in electrical engineering from Chonnam National University, Gwangju, Korea, in 2015, 2017 and 2022, respectively. He is currently a senior researcher in the Electrical Safety Research Institute of Korea Electrical Safety Corporation (KESCO) since 2022.

์ „์ •์ฑ„ (Jeong-Chay Jeon)
../../Resources/kiee/KIEE.2024.73.11.2091/au2.png

He received his B.S., M.S. and Ph.D. degrees in electrical engineering from Wonkwang University in 1997, 2000 and 2015, respectively. He is currently a director of the center at the Electrical Safety Research Institute of Korea Electrical Safety Corporation (KESCO) since 2000.

์ด๊ธฐ์—ฐ( Ki-Yeon Lee)
../../Resources/kiee/KIEE.2024.73.11.2091/au3.png

He received the B.S. and M.S. degrees in electrical engineering from Incheon National University, Incheon, Korea, in 2002 and 2004, respectively. He received the Ph.D. degree in IT Applied System Engineering from Jeonbuk National University, Jeollabukdo, Korea, in 2020 He is currently a head researcher in the Electrical Safety Research Institute of Korea Electrical Safety Corporation (KESCO) since 2004.

์ž„์Šนํƒ (Seung-Taek Lim)
../../Resources/kiee/KIEE.2024.73.11.2091/au4.png

He received the B.S. and M.S. degrees in electrical engineering from Soongsil University, Seoul, Korea, in 2016 and 2018, respectively. He is currently a senior researcher in the Electrical Safety Research Institute of Korea Electrical Safety Corporation (KESCO) since 2018.