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논문 기본 정보

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학위논문
저자정보

차균호 (충남대학교, 忠南大學校 大學院)

지도교수
박영우
발행연도
2017
저작권
충남대학교 논문은 저작권에 의해 보호받습니다.

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이 논문의 연구 히스토리 (6)

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원자력발전소의 출력감시를 위한 노내 중성자속 측정 시스템(Incore Neutron Flux Mapping System)에 사용되고 있는 계측기는 이 동형 계측기인 핵분열함(Fission Chamber)과 고정형 계측기인 자발중성자 계측기(Self-Powered Neutron Detector, 이하 SPND) 두 종류 이다. 국내 원전에 사용되고 있는 고정형 SPND는 원자로 노심 내부에 위치하여 외부전원 없이 중성자속을 계측하여 전류로 환산한다.
즉, SPND는 원자로 출력에 비례하는 중성자속을 측정하는 센서로서 Emitter (중성자 또는 감마와 반응하여 전자를 방출하는 물질, 이하 에미터), Insulator(이하 절연체), Collector(또는 Sheath, 이하 집전자) 세 부분으로 구성된다[1].
SPND로 입사한 중성자는 에미터 영역의 물질과 반응하여 광자 또는 베타붕괴 핵종을 생성하며, 생성된 광자의 물리반응 혹은 베타붕괴 핵종의 베타붕괴를 통해 전자가 생성된다. 이렇게 생성된 전자가 절연체 영역을 지나 집전자 영역에 도달하면 전류가 흐르는데, SPND는 흐르는 전류의 양을 측정함으로써 중성자속을 추정하여 원자로 출력을 계산하는 수단으로 작동한다.
SPND의 계측성능을 나타내는 중성자 민감도(Neutron Sensitivity)는 계측된 중성자속과 환산전류 사이의 비율로 정의되며, 민감도가 클수록 작은 중성자속에도 높은 전류가 측정된다. SPND의 민감도를 예측하기 위한 이론적인 모델이 0.025eV(2,200m/sec) 단일에너지의 중성자와 반응하는 지연반응 계측기의 경우 Warren에 의해 개발되었다[4]. 이 모델은 Warren과 Shah 및 Jaschik과 Seifritz에 의해즉발반응 계측기에도 적용할 수 있도록 개선되었다[5][6]. Warren과 Shah는 다양한 에너지의 중성자와 감마(Gamma)에 의한 영향을 민감도 계산에 고려하였으며, Jaschik과 Seifritz는 감마로 인한 SPND의 즉발응답을 계산하기 위한 모델링을 제시하였다.
Warren은 처음으로 SPND 민감도 계산방법을 제안했으나, 단일에너지, 공간하전효과, 자기차폐인자, 베타붕괴 스펙트럼 등 여러 가정들을 사용하여 분석해를 구하였다. Goldstein은 백금 SPND의 Monte Carlo 모델링을 이용하여 민감도를 계산하였으나, 절연체에서의 공간하전효과를 모사하기 위하여 근사식을 도입하였으며[7], 계산의 정확도를 검증하기 위하여 계측기 연소자료를 이용한 민감도 계산값과 비교분석 하였다[8]. Lee는 Warren 모델을 개선하여 여러 가정들을 제거함으로써 보다 정확한 Monte Carlo SPND 모델을 제시하였다[9]. 이후 SPND 민감도 분석을 위한 다양한 Monte Carlo 모델들이 개발되었으며, 계산값과 실험값의 비교분석을 통하여 모델을 검증하였다[10]. 이들에 의해 개발된 모델이 중요한 것은 계측기로부터 나오는 총 출력전류에 기여할 수 있는 여러 가지 효과들을 고려하여 다양하게 모델을 확장시킬 수 있는 토대가 제시되었다는 사실이다. 즉, 이들의 모델을 이용하면 에미터의 재질이나 사양 등 여러 가지 인자들을 변화시키면서 계측기 출력 특성을 평가할 수 있다. 하지만, SPND 개발을 위해서는 에미터 및 절연체 등의 연소에 의한 물성변화에 따른 중성자 민감도를 평가할 수 있는 방법이 필요한데, 아직까지 이를 위한 방법론은 제시되지 않고 있다. 현재 전세계적으로 진행중인 차세대 원자로 개발에는 각각의 원자로 형태와 목적에 필요한 노내계측기 개발이 필수이며, 이를 위해서는 에미터 및 절연체의 다양한 재료와 제원에 대한 중성자 민감도 평가가 우선되어야 한다. 또한, SPND 수명기간 동안 에미터의 연소에 의한 물성변화에 따른 중성자 민감도 평가도 중요하다. 즉, 이러한 평가를 토대로 최적의 재료와 제원을 갖는 SPND를 개발 및 제작하여야 한다. 이는 SPND 기술은 원전의 안전성, 신뢰성, 경제성 및 운전성 확보와 직결되는 중요한 기술이기 때문이다.
또한, 현재 국내 원자력발전소에 사용되는 로듐 노내계측기의 일반적인 수명은 노심에 장전되는 위치에 따라 약 3~5년으로 원전의 경제적 운영에 영향을 주므로 10년 이상 사용을 위한 대안이 필요하다. 일반적으로 SPND의 수명은 중성자의 반응으로 인한 에미터의 연소에 따라 결정되며, SPND의 수명예측은 원자력발전소의 경제적 운영에 중요한 역할을 한다. 또한, SPND의 수명 예측을 위해서는 SPND 연소에 따른 민감도 평가 모델이 필요하다.
본 논문의 목적은 개발하고자 하는 원자로 형태와 목적에 필요한 노내계측기 개발시 또는 현재 사용중인 노내계측기를 대체하기 위한 노내계측기 개발시 에미터 및 절연체의 다양한 재료와 제원에 대한 중성자 민감도 평가가 가능한 전산 모델을 제시하여 SPND의 수명 및 특성을 평가하기 위한 모델로 활용한 것이다.

목차

List of Figures ···························································································· iv
List of Tables ····························································································· vi
제1장 서론 ·································································································· 1
제2장 SPND 특성 ······················································································ 7
2.1 중성자 반응을 이용하는 SPND ··················································· 9
2.1.1 중성자와 지연 반응을 하는 SPND ······································ 9
2.1.2 중성자와 즉발 반응을 하는 SPND ···································· 10
2.2. 감마선 반응을 이용하는 SPND ················································ 10
2.3 계측기 집합체 ················································································ 11
2.4 로듐 계측기와 백그라운드 계측기 ··········································· 12
2.5 운전 원리 ······················································································· 13
2.6 SPND 반응 메커니즘 ··································································· 14
2.6.1 (n, β) 상호작용 ······································································· 14
2.6.2 (n, γ, e) 상호작용 ·································································· 15
2.6.3 (γ, e) 상호작용 ······································································· 15
2.7 공간하전효과 (Space Charge Effect) ·········································· 16
제3장 SPND 중성자 민감도 계산 수학적 모델 ································ 18
3.1 중성자 포획량 ··············································································· 19
3.1.1 중성자 자기차폐 보정인자 ·················································· 20
3.1.2 중성자속 감쇠(depression)에 대한 보정 ····························· 22
3.2 베타 이탈확률 ··············································································· 23
3.2.1 전자의 생성확률 (베타 에너지 스펙트럼) ························ 24
3.2.2 전자의 경로길이, 에너지 보정 ··········································· 25
3.3 임계거리(Critical Distance) 및 Emin 유도 ·································· 30
3.4 SPND의 공간하전효과에 의한 영향 ········································· 34
3.4.1 에미터 직경에 의한 영향 ···················································· 34
3.4.2 절연체의 직경과 밀도로 인한 영향 ·································· 35
제4장 SPND 중상자 초기 민감도 계산 (Static Model) ···················· 36
4.1 바나듐 SPND 초기 민감도 계산을 위한 MCNP 모델 ·········· 36
4.1.1 51V의 중성자 포획단면적 ····················································· 37
4.1.2 자기차폐인자 ·········································································· 38
4.1.3 베타 이탈확률 (ε) ·································································· 39
4.2 공간하전 영향 평가 모델 ··························································· 40
4.3 MCNP 모사계산 ············································································ 42
4.4 평가 결과 ····················································································· 45
제5장 SPND 연소 민감도 계산 (Depletion Model) ··························· 47
5.1 Analytic 계산 모델 ······································································ 49
5.1.1 베타붕괴에 의한 전류 계산 ················································ 49
5.1.2 감마에 의한 전류 계산 ······················································ 51
5.2 MCNP 계산 모델 ·········································································· 51
5.2.1 베타붕괴 전자의 에너지 스펙트럼 계산 ·························· 53
5.2.2 베타붕괴율 계산 ·································································· 54
5.2.3 흡수반응률 계산 ···································································· 54
5.2.4 전자이탈확률 ·········································································· 55
5.2.5 감마선 반응 ············································································ 57
5.3 민감도 평가인자 계산 및 분석 ················································· 57
5.4 연소계산 ························································································· 62
5.4.1 연소계산 조건 ······································································ 62
5.4.2 평균 중성자속 계산 ······························································ 64
5.5 에미터 연소에 의한 물질 변화 ················································· 65
5.5.1 로듐 에미터 ·········································································· 65
5.5.2 바나듐 에미터 ········································································ 68
5.6 민감도 계산결과 ··········································································· 70
5.6.1 에미터 연소에 따른 민감도 변화 ···································· 70
5.6.2 계산모델 검증 ········································································ 73
제6장 SPND 민감도 평가 모사 계산 ·················································· 75
6.1 장수명 노내계측기에 적용할 바나듐 SPND 민감도 평가 ··· 75
6.2 로듐 및 바나듐 SPND의 장수명 적합성 평가 ······················· 79
6.3 SMART 및 SMR 적용 SPND의 민감도 평가 ························· 82
6.4 로듐 SPND 제원 변경에 따른 수명기간 동안 민감도 변화 89
6.4.1 에미터 반지름 변경에 대한 민감도 변화 ························ 89
6.4.2 절연체 두께 변경에 대한 민감도 변화 ···························· 91
제7장 결론 ································································································ 93
참고문헌 ···································································································· 97
Abstract ····································································································· 101

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