글: 파하드 마수드(Fahad Masood) MTS(member of technical staff) / 아나로그디바이스(Analog Devices, Inc.)
개요
원격 환자 모니터링(remote patient monitor, RPM)은 의사가 환자의 건강 상태를 더 잘 파악할 수 있게 하는 보다 많은 기능들을 포함하면서 계속해서 진화하고 있다. 이러한 디바이스들은 흔히 일차전지 배터리를 사용해서 구동된다. 이 글에서는 심전도계(ECG) 원격 환자 모니터링 패치용 전원공급 솔루션을 설계할 때 배터리 수명을 연장할 수 있는 방법에 대해 설명한다. 아울러, RPM 용으로 배터리 사용 시간을 정확히 계산하고, 제품 보관 시에 배터리 수명을 연장하는 방법에 대해서도 알아본다.
머리말
사물 인터넷(IoT)이 진화함에 따라 의료 분야에서도 헬스케어 서비스 제공자들이 첨단 기술을 활용해서 환자를 실시간으로 보호하는 방법에도 일대 변화가 일어나고 있다. 오늘날 원격 환자 모니터링(RPM)은 의료진이 혁신적인 의료 디바이스를 사용해서 환자와 전혀 새로운 방식으로 상호작용할 수 있게 해준다. 수십 년 된 구식 장비는 보다 소형화된 IC와 무선 통신 기술 덕분에 향상된 기능성과 폼팩터로 환자의 치료 효과를 높일 수 있게 업데이트가 가능해졌다. 과거의 거추장스러운 홀터(Holter) 장비를 대체하여, 첨단 RPM 패치는 다양한 센서들을 사용해서 심박수, 체온, 가속도계 데이터를 포착한다. 이러한 패치들은 환자 데이터를 클라우드로 전송하여, 환자와 의사가 이 데이터에 실시간으로 접근할 수 있게 해준다.
이들 디바이스는 의사가 환자를 더 잘 파악하도록 돕지만, 다른 한 편으로 전원공급장치 설계 엔지니어에게는 시스템 성능과 배터리 수명 요구 사이에서 균형을 이루어야 하는 과제를 제기한다. 2세대 패치는 정확도와 기능성을 높이고자 더 다양한 방식의 센서들을 사용함으로써 전원장치에 대한 요구를 더더욱 까다롭게 한다.
그림 1: ECG 패치 전원공급장치 다이어그램. 235mAh CR2032 리튬 코인 배터리가 전압 레귤레이터, 마이크로컨트롤러, ECG 프런트엔드, 온도 센서, 가속도계로 전원을 공급한다.
이 글에서는 그림 1의 ECG RPM 패치를 예로 들어서 설명한다. 이 패치는 ECG와 가속도계를 지속적으로 모니터링하고 매 15분마다 체온을 측정한다. 이 데이터는 2시간마다 블루투스 저에너지(BLE)를 통해서 전송되므로 하루에 총 12회의 BLE 전송이 이루어진다. 이 패치는 표준 모니터링 모드, 체온 모니터링 모드, 전송 모드의 저마다 다른 부하 프로파일을 가진 3가지 모드로 동작한다. 표준 모니터링 모드는 ECG와 가속도계만 모니터링한다. 체온 모니터링 모드는 추가적으로 온도 센서를 모니터링한다. 전송 모드는 ECG와 가속도계 데이터를 모니터링하면서 BLE 무선을 통해서 데이터를 전송한다.
전원장치 설계 과제
ECG 패치 같은 RPM 디바이스를 설계하기 위해서는 전원장치 설계 엔지니어가 많은 설계 과제를 해결해야 한다. 이러한 디바이스는 공간이 제한적이며, 여러 센서를 포함하는 패치가 여러 개의 전원 레일을 필요로 할 수 있다. RPM 패치는 대체로 일회용으로 설계되므로, 코인셀 배터리가 설계자가 이용할 수 있는 가장 경제적인 전원이다. 오로지 코인셀 배터리만을 사용해서 패치로 전원을 공급하기 위해서는 전원장치 서브시스템들의 효율 역시 중요하게 고려해야 한다.
전원장치 설계자가 간과하기 쉬운 또 다른 과제는 최종 제품의 유통 기한을 연장하는 것이다. 셧다운 전류와 배터리 자체 방전이 시스템 수명을 단축할 수 있다. 따라서 설계자는 자신이 설계하는 RPM 패치가 통상적인 유통 기한 이후에도 동작 시간 요건을 충족할 수 있을지 판단해야 하며, 그러지 못할 것 같으면 제품이 최종 사용자 손에 도착하기까지 배터리 수명을 연장할 수 있는 방안을 강구해야 한다.
배터리 사용 시간 계산
전원 솔루션이 배터리 수명 요건을 충족할지 정확하게 판단하기 위해서는 부하 프로파일을 계산해야 한다. 부하 프로파일은 시스템의 부하 듀티 사이클을 표현한 것으로서, 이 글에서 설명하는 원격 환자 모니터링 패치의 경우는 앞서 말한 것처럼 표준 모니터링 모드, 체온 모니터링 모드, 전송 모드의 세 가지 동작 모드를 고려해야 한다.
표준 모니터링 모드일 때, 이 패치의 전류 소모는 1.88mA이다(각각의 벅 컨버터의 330nA 대기 전류와 MCU의 전류 소모 포함). 체온 모니터링 모드에서는 매 15분마다 200ms 동안 1.95mA의 전류를 소모한다. 전송 모드에서는 매 2시간마다 30초 동안 BLE를 통해 데이터를 전송하면서 7.90mA의 전류를 소모한다. 이들 값은 각 디바이스의 데이터 시트에서 동작 전류 및 대기 전류 사양을 확인해서 구할 수 있다.
부하 프로파일 분석을 위해서는 각 동작 모드에서 하루 동안의 듀티 사이클을 계산한다. 이것은 공식 1을 사용해서 계산할 수 있다:
그러면 표 1과 같이 듀티 사이클을 구할 수 있다.
표 1: 패치 동작 모드별 듀티 사이클
![](data:image/png;base64,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)
그림 2: 부하 프로파일 다이어그램
그림 2의 부하 프로파일을 사용해서 이 패치의 전류 소모를 계산할 수 있다. 각 동작 모드별 전류 소모를 반영한 하루 동안의 평균 전류 소모량은 공식 2와 같이 계산할 수 있다:
이는 다음과 같이 계산할 수 있다:
▶ 하루 동안의 표준 모니터링 모드 전류 소모 = 표준 모니터링 모드 전류 × 표준 모니터링 모드 듀티 사이클 × 24시간
▶ 표준 모니터링 모드 전류 소모 = 1.88mA, 표준 모니터링 모드 듀티 사이클 = 0.9956
▶ 하루 동안의 표준 모니터링 모드 전류 소모 = 1.88mA × 0.9956 x 24시간 = 44.92mAh/일
각 동작 모드별 전류 소모를 계산했다면 공식 3을 사용해서 배터리 사용 시간을 계산할 수 있다:
이는 다음과 같이 계산할 수 있다:
▶ 배터리 용량 = 235mAh
▶ 하루 동안의 표준 모니터링 모드 전류 소모 = 44.92mAh/일
▶ 하루 동안의 체온 모니터링 모드 전류 소모 = 0.01mAh/일
▶ 하루 동안의 전송 모드 전류 소모 = 0.79mAh/일
▶ 배터리 사용 시간(일) = 235mAh/(44.92mAh/일 + 0.01mAh/일 + 0.79mA/일) = 5.14일
이 계산 결과를 보면, 배터리 사용 시간은 5.1일 이상으로서 5일 사용 시간 요구를 충족하는 것으로 나타난다. 하지만 여기에는 하나의 함정이 숨어있다. 이 계산에는 시스템 보관 시의 전류 소모가 반영되지 않은 것이다. 의료 기기는 통상적으로 14개월의 보관 기간(12개월은 보관하고 2개월은 운송)을 고려해서 설계해야 한다.
유통 기한과 관련한 고려사항
CR2032 배터리의 연간 1%~2% 자체 방전 비율과 시스템에 장착된 디바이스들의 셧다운 전류를 고려하면 14개월 후에 배터리 용량이 5일의 사용 시간을 만족하기에는 불충분하며, 따라서 배터리 실(seal)이 필요하다는 것을 알 수 있다.
보관 선반 위에서 14개월을 보낸 후에 배터리 용량은 크게 감소할 것이다. CR2032의 에너지 중에서 거의 40퍼센트가 보관 중에 셧다운 전류와 배터리 자체 누설에 의해서 소모된다. 공식 3에 이 배터리 용량을 대입해서 좀더 정확한 사용 시간을 계산할 수 있다:
▶ 배터리 사용 시간(일) = 146.66mAh/(표준 모니터링 모드 + 체온 모니터링 모드 + 전송 모드)
▶ 배터리 사용 시간(일) = 146.66mAh/(44.92mAh/일 + 0.01mAh/일 + 0.79mA/일) = 3.21일
일년 넘게 보관 선반 위에 놓여 있으면서 배터리 용량은 배터리 자체 방전과 시스템 셧다운 전류에 의해 점점 감소된다. 배터리 자체 방전은 배터리 소재와 환경에 의해 영향을 받는다. CR2032 배터리는 리튬 망간 소재이고 자체 방전 비율은 연간 1% ~ 2%이다. 제품을 보관만 하고 있는데도 코인셀 용량이 일년 후에 2% 감소하는 것이다. 이에 비해서 BR2032 배터리는 리튬 불화탄소 소재이고 자체 방전 비율은 연간 0.3%이다. 그러므로 자체 방전 비율이 낮은 소재가 더 좋을 것으로 생각될 수 있는데, 꼭 그렇지만은 않다. BR2032 배터리는 방전 비율은 더 낮지만 200mAh인 CR2032 배터리 셀보다 용량은 더 적다. 위의 공식을 사용하면 이처럼 용량이 더 낮은 배터리가 적절할지 판단할 수 있다.
이 ECG 패치의 경우에는 IC 셧다운 전류가 시스템을 사용하지 않는 동안에 배터리 용량을 감소시키는 가장 큰 요인이다. IC가 실행되지 않고 어떠한 부하도 동작하지 않는데도 셧다운 전류는 소모된다. 이는 무부하일 때도 IC에서 누설이 발생하고 IC 내의 ESD 보호 소자들이 약간의 전류를 소모하기 때문이다. 이러한 전류는 대개 낮은 수준이기는 하지만(1?A 미만) 기간이 오래된다면 배터리 수명에 중대하게 영향을 미칠 수 있다. 이 RPM 패치의 경우, 셧다운 전류가 일년에 40%씩이나 배터리 용량을 감소시킨다. 따라서 배터리 실을 사용해서 셧다운 시에 전류 소모를 제한할 수 있다.
배터리 실은 두 가지 방식을 사용할 수 있다. 마일라 풀 탭(mylar pull tab) 형태의 기계식 배터리 실과 로드 스위치(load switch) 형태의 전기식 배터리 실이 그것이다. 마일라/플라스틱 풀 탭은 기계식 배터리 실로서, 배터리와 시스템 사이에 플라스틱 탭을 끼워 넣는 것이다. 이 제품을 사용하려면 사용자가 이 플라스틱 탭을 제거해야 한다. 그러면 배터리가 시스템으로 전원을 공급하기 시작한다. 이 방법은 예전부터 사용되어 오던 간단하고 저렴하며 검증된 방법이다. 하지만 의료 장비용으로는 이 솔루션을 사용하기가 여의치 않을 수 있다. 방수 기능이 요구되는 ECG 패치의 경우, 마일라 탭을 끼우기 위한 슬롯 때문에 패치가 물에 의한 손상에 취약해질 수 있다. 또한 손놀림이 부자유스러운 최종 사용자라면 작은 플라스틱 탭을 제거하기가 어려울 수 있다.
이럴 때는 전기식 배터리 실로서 비쉐이(Vishay) SiP32341 같은 로드 스위치가 더 나은 선택일 수 있다. 이 디바이스는 FET로서, 개방될 때 배터리를 시스템의 나머지 부분과 차단한다. 이때 배터리에서 소모되는 것은 SiP32341 셧다운 전류뿐이다. 기기를 사용할 준비가 되었으면 버튼을 눌러 로드 스위치의 로직 제어 라인을 켤 수 있다. SiP32341은 정격 셧다운 전류가 14pA로서, 배터리 실을 사용하지 않을 때 전체 시스템의 전류 소모와 비교하면 상당히 향상된 것이다. SiP32341을 배터리 실로서 사용하면 CR2032 일차전지가 14개월 후에 용량을 99.97% 유지한다. ECG 패치 셧다운 전류로부터 배터리를 보호하기 위해서 배터리 실을 사용하지 않을 때는 CR2032 일차전지가 원래 용량의 62.39%만을 유지한다. 이 37% 용량 차이로 인해 ECG 패치는 14개월의 보관 기간 후에 5일의 사용 시간 요구를 충족할 수 있다.
표 3: 배터리 실을 사용했을 때 14개월 후의 배터리 용량
배터리 실을 사용해서 시스템 내의 디바이스들이 배터리로부터 셧다운 전류를 소모하는 것을 차단함으로써 배터리 용량을 유지할 수 있다. RPM 패치를 14개월 동안 보관한 후에 배터리 용량의 99.9% 이상을 유지할 수 있다.
공식 3에 이 배터리 용량을 대입해서 좀더 정확하게 배터리 사용 시간을 계산할 수 있다:
▶ 배터리 사용 시간(일) = 230.25mAh/(표준 모니터링 모드 + 체온 모니터링 모드 + 전송 모드)
▶ 배터리 사용 시간(일) = 230.25mAh/(44.92mAh/일 + 0.01mAh/일 + 0.79mA/일) = 5.04일
맺음말
의료 기기용 전원장치를 설계할 때는 시스템이 동작할 때와 셧다운/저전력 모드일 때의 배터리 소모를 잘 계산해야 한다. 이 글에서는 심박수, 체온, 가속도 데이터를 측정하고 BLE 통신을 하는 ECG 패치를 예로 들어서 설명했다. 이 분석은 일차전지 배터리를 사용해서 구동하는 어떤 의료용 디바이스에나 적용될 수 있다.
참고문헌
Smith, Marc. “Application Note 7487: Power Supply Subsystem for MAX30001-Based ECG Remote Patient Vital Sign Monitor.” Analog Devices, Inc., June 2021.
저자 소개
파하드 마수드(Fahad Masood)는 아나로그디바이스의 헬스케어 및 의료 바이오센싱 애플리케이션 MTS(member of technical staff)이다. 헬스케어, 컴퓨팅, 산업용 분야에서 10년 가까운 경험을 쌓고 있다. 로체스터 공과대학에서 BSEE를 취득했으며 바이오메디컬 일렉트로닉스를 전문으로 하고 있다. 문의: fahad.masood@analog.com
제품스펙