Cuk 레귤레이터의 잡음 최소화하기
글: 프레데릭 도스탈(Frederik Dostal) FAE / 아나로그디바이스(Analog Devices, Inc.)
Cuk 토폴로지는 양(+)의 입력 전압으로 음(-)의 출력 전압을 발생하고자 할 때 사용하기에 적합하다. 음의 전압은 많은 시스템내에서 특정 센서들로부터 유용한 신호를 판독하는 데 필요하다. 예를 들어서 신호 체인에 +5V와 -5V나 혹은 +15V와 -15V를 제공해야 할 수도 있다. 실리콘 카바이드(SiC) 같은 스위칭 소자를 안전하게 스위칭하고자 할 때에도 음의 전압이 사용된다.
Cuk 토폴로지는 2L 인버팅 토폴로지라고도 한다. 전원 경로에 2개의 인덕터가 필요하기 때문이다. 그림 1은 Cuk 토폴로지의 회로 다이어그램을 보여준다.
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)
그림 1: Cuk 토폴로지를 사용해서 음의 전압을 발생시키기 위한 회로 다이어그램
이 토폴로지를 위해서는 스위칭 레귤레이터 IC를 선택할 때 음의 전압에 대한 피드백 핀을 제공하는 제품을 선택해야 한다. 이러한 용도로 아나로그디바이스(Analog Devices)는 스위치를 통합한 모놀리식 스위칭 레귤레이터 IC에서부터 외부 스위칭 트랜지스터와 함께 사용할 수 있는 컨트롤러 IC에 이르기까지 다양한 구성의 제품들을 제공한다.
무엇보다, 이 토폴로지는 두 개의 인덕터가 상당한 비용과 공간을 차지하는 요인으로 작용한다. 하지만 이 두 부품은 전원 경로 상에서 입력 측과 출력 측 모두에 인덕턴스를 발생시킨다. 이 인덕턴스는 입력과 출력 모두에서 빠르게 스위칭하는 전류를 막는다. 그러므로 Cuk 토폴로지는 잡음이 극히 낮은 토폴로지로 여겨진다. 물론 다른 모든 스위칭 레귤레이터와 마찬가지로 Cuk 토폴로지도 전류를 스위칭한다. 그림 1에서 파란색으로 표시된 핫 루프가 이 부분에 해당한다. 핫 루프라는 용어는 일단의 트레이스들이 di/dt를 빠르게 전이한다는 뜻이다. 스위칭 전류가 발생시키는 간섭을 최소화하기 위해서는 기생 인덕턴스를 되도록 작게 해야 하고, 그러기 위해서는 이 핫 루프의 크기를 되도록 작게 해야 한다.
따라서 Cuk 컨버터를 위한 최적의 보드 레이아웃은 프리휠링 다이오드 D, 커플링 커패시터 C, 스위치 S1을 되도록 서로 가깝게 배치하는 것이다. LT8330의 핀아웃은 바로 이러한 요구를 충족하도록 설계되었다. 그림 2는 보드 레이아웃에서 스위칭된 전류의 전원 경로 부분(핫 루프)을 보여준다.
이 루프는 외부 다이오드 D, 커플링 커패시터 C, 그리고 LT8330 스위칭 레귤레이터 IC 내에서 GND와 SW 핀 사이의 내부 배선으로 이루어진다. 그러므로 핫 루프가 되도록 컴팩트하게 설계되었다.
![](data:image/png;base64,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)
그림 2: Cuk 토폴로지의 최적화된 보드 레이아웃
그림 3은 Cuk 토폴로지에 적합한 레귤레이터로서 LT8330을 사용한 회로를 예시한 것이다. 이 레귤레이터의 중요한 특징은 FBX 핀이다. 이는 특수한 타입의 FB 핀으로서, ?uk 토폴로지에서 요구하는, 음의 전압과 양의 전압을 모두 처리할 수 있다. LT8330을 부스트나 SEPIC 토폴로지로 사용할 때는 양의 피드백 핀 극성이 필요하다.
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)
그림 3: LT8330을 사용한 Cuk 레귤레이터 회로 예시
레귤레이터의 입력 측과 출력 측 양쪽 모두의 인덕턴스가 전도 방사 양에 영향을 미친다. 핫 루프를 컴팩트하게 설계해서 최적화된 보드 레이아웃을 구현함으로써 잡음이 매우 낮은 솔루션을 달성할 수 있다. 이러한 점에서 Cuk 레귤레이터는 저잡음 음의 전압을 발생하도록 사용하는 데 적합하다.
저자 소개
프레데릭 도스탈(Frederik Dostal)은 독일 뉘른베르크 에를랑겐 대학에서 미세전자공학을 전공했다. 2001년 전력 관리 사업부에서 경력을 시작했으며, 애리조나주 피닉스에서 4년 간 스위치 모드 전원 공급장치를 담당하는 등 다양한 애플리케이션 직책을 맡았다. 2009년 아나로그디바이스에 입사하여 현재는 뮌헨 소재 아나로그디바이스에서 전력 관리를 위한 필드 애플리케이션 엔지니어(FAE)로 근무하고 있다. 문의: frederik.dostal@analog.com.
제품스펙
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