引用本文:周保荣,张野,张庆华,等.基于状态空间描述的频率相关等值阻抗和导纳形式转换方法研究[J].电力系统保护与控制,2018,46(7):90-95.
ZHOU Baorong,ZHANG Ye,ZHANG Qinghua,et al.Study on transformation of FDNE forms between impedance and admittance based on state space description[J].Power System Protection and Control,2018,46(7):90-95
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基于状态空间描述的频率相关等值阻抗和导纳形式转换方法研究
周保荣1,张 野1,张庆华2,范圣韬3,冷永杰2,张路寅2,张东院2
(1.南方电网科学研究院,广东 广州 510663;2.积成电子股份有限公司,山东 济南 250100; 3.Shengtao Fan Consulting,加拿大,温尼伯市)
摘要:
针对频率相关等值的阻抗和导纳两种表示形式,基于状态空间描述提出了一种阻抗和导纳形式相互转换的方法。首先可以将阻抗或导纳的状态空间形式拆分为包含微分项和不包含微分项的两部分,然后分别将两部分变换为导纳或阻抗的状态空间形式。通过算例验证了变换方法的正确性,从而为频率相关等值给出了一种阻抗和导纳状态空间形式之间相互转换的方法。
关键词:  频率相关等值  阻抗  导纳  状态空间
DOI:10.7667/PSPC170381
分类号:
基金项目:南方电网科技项目资助(KY2015-2-0002)
Study on transformation of FDNE forms between impedance and admittance based on state space description
ZHOU Baorong1,ZHANG Ye1,ZHANG Qinghua2,FAN Shengtao3,LENG Yongjie2,ZHANG Luyin2,ZHANG Dongyuan2
(1. China South Power Grid International Co., Ltd., Guangzhou 510663, China;2. Integrated Electronic Systems Lab Co., Ltd., Jinan 250100, China;3. Shengtao Fan Consulting, Canada, Winnipeg)
Abstract:
For two expression forms of Frequency-dependent Equivalent (FDNE), i.e. impedance and admittance, this paper proposes a method which transforms between impedance and admittance forms based on state space description. To achieve the transformation, the state space equation of impedance or admittance is firstly divided into differential part and the remaining part; and then these two parts are separately transformed into another form based on state space description. Last, validity is verified by example. It provides a method achieving the transformation of FDNE forms between impedance and admittance based on state space description. This work is supported by Scientific and Technology Project of China Southern Power Grid (No. KY2015-2-0002).
Key words:  frequency-dependent equivalent  impedance  admittance  state space
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