TY - JOUR
T1 - Application of polynomial chaos expansion in electrical systems considering uncertainties
T2 - an overview
AU - Li, Weilin
AU - Zhang, Xiaobin
AU - Ni, Fei
AU - Yao, Wenli
AU - Li, Huimin
N1 - Publisher Copyright:
© 2015, The editorial office of Transaction of China Electrotechnical Society. All right reserved.
PY - 2015/11/25
Y1 - 2015/11/25
N2 - Electrical engineering systems are commonly analyzed based on deterministic mathematical models with precisely defined input data. However, since such ideal situations are rarely encountered in practice, the need to address uncertainties is now clearly recognized, probabilistic methods are considered as possible solutions. Polynomial chaos expansion (PCE) is a new and powerful modeling approach for uncertain systems considering its fast computational capabilities compared with traditional methods, such as Monte Carlo. This paper gives a brief introduction on the basic concepts of PCE, as well as its expansion process. Different applications of PCE in the field of electrical engineering, such as PCE based observer, PCE based controller, sensor validation, protection schemes, as well as the distributed state estimation, have also been briefly investigated to show the capability of PCE in simulating uncertainties.
AB - Electrical engineering systems are commonly analyzed based on deterministic mathematical models with precisely defined input data. However, since such ideal situations are rarely encountered in practice, the need to address uncertainties is now clearly recognized, probabilistic methods are considered as possible solutions. Polynomial chaos expansion (PCE) is a new and powerful modeling approach for uncertain systems considering its fast computational capabilities compared with traditional methods, such as Monte Carlo. This paper gives a brief introduction on the basic concepts of PCE, as well as its expansion process. Different applications of PCE in the field of electrical engineering, such as PCE based observer, PCE based controller, sensor validation, protection schemes, as well as the distributed state estimation, have also been briefly investigated to show the capability of PCE in simulating uncertainties.
KW - Electrical engineering systems
KW - Polynomial chaos expansion
KW - Uncertainties
UR - http://www.scopus.com/inward/record.url?scp=84949990903&partnerID=8YFLogxK
M3 - 文章
AN - SCOPUS:84949990903
SN - 1000-6753
VL - 30
SP - 247
EP - 255
JO - Diangong Jishu Xuebao/Transactions of China Electrotechnical Society
JF - Diangong Jishu Xuebao/Transactions of China Electrotechnical Society
IS - 22
ER -