基于相序变换的三相系统瞬时功率定义

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'基于相序变换的三相系统瞬时功率定义'
Power System Protection and Control基于相序变换的三相系统瞬时功率定义古斌X谭建成I,唐伟斌'(1.广西大学电气工程学院,广西 南宁530004; 2.绍兴文理学院工学院,浙江 绍兴312000;3?湖南省电力公司常德电业局,湖南常德415001 )摘要:瞬时无功功率理论(p-q理论)应用克拉克变换把不含零序分量的三相三线系统中线性相关的三相电量变换为线性独 立的两个分量,构成两维向量,继而基于向量运算法则提出了瞬时功率定义,被广泛应用于有源滤波及无功补偿等工程领域。 指出三相三线制p-q理论只是FBI)功率理论的特例,继而指出p-q理论应用于三相四线制系统时并不能实现线损最小的最优 补偿目标;谙嘈虮浠坏氖г,提出了一种线性变换方法,可把三相四线制系统中的四个线性相关的电量变换为线性 独立的三个变量,构成三维正交坐标系中的三维空间向量,继而应用向量运算法则提出了瞬时功率定义方法,具有定义简洁、 计算简单直观、物理意义清晰的特点。此外,在三相三线制系统中,该定义与三相三线制p-q理论、FBD功率理论达到了统 一,在三相四线制系统中该定义与FBD功率理论也是一致的。关键词:线性变换;空间向量;瞬时功率;三相电路;有源滤波器Defining the three-phase system instantaneous power components based onthe phase-mode transformationGU Bin1 TAN Jian-chcng1, TANG Wei-bin3(1. School of Electrical Engineering, Guangxi University, Nanning 530004, China; 2. Shaoxing University, Shaoxing 312000, China;3. Changde Electrical Industries Bureau, Hunan Province Electric Power Company, Changde 415001, China )Abstract: The instantaneous reactive power theory (p-q theory) based on Clarke transformation transforms three linearly dependent electrical quantities to two linearly independent quantities constructing two dimension space-vector for three-phase three-wire systems without zero-sequence component, then a set of instantaneous power definition that is widely applied in active filter and reactive power compensation domains is proposed? This paper indicates the p?q theory of three-phase three-wire system is a special case of FBD power theory, and the p-q theory applied in three-phase four-wire system can not realize the objective of the optimized compensation for the lowest line loss. A linear transformation method based on the mathematical principle of phase-mode transfbnnation is proposed, which can transform the four linearly dependent quantities in three-phase four-wire to three linearly independent quantities constructing three dimension space-vector of three dimension orthogonal coordinate system, then a set of instantaneous power definition based on the principle of vector operation is proposed. The method has the advantage of simple definition, brief graphic computation and clear physics significance? In addition, in the three-phase three-wire systems, this method has achieved agreement with p-q theory and FBD power theory on the definition of the three-phase inslanlaneous reactive power, and also shows consistency in defining the instantaneous reactive power with FBD power theory in the three-phase four-wire system. Key words: linear transformation; space vector; instantaneous power; three-phase circuit; active power filter中图分类号:TM71 文献标识码:A 文章编号:0引言当电力系统处于畸变或不对称状态时,功率现 象较复杂,传统功率理论难以对其进行正确的描述 或解释。故而,能包含畸变和不对称现彖的功率理 论成为研究热点3】。较有影响的如FI本学者提出的 三相电路瞬时无功功率理论⑷(p-q理论),已被广1674-3415(2012)21-0030-06泛应用于有源滤波等工程领域。但该理论仅适用于 三相电路不含零序分量的场合。文献[5]直接用相处 标系中的三相电量构成向量,并用向量运算法则来 定义瞬时有功、无功等,但实际上这种向量并非严 格意义上的三维止交处标系小的向暈,即其不能有 效消除电斥共模分量的影响且由其所得出的三相瞬 时有功电流并非最优解⑹。FBD法用拉格朗日乘子 算法得出了导体阻值相同的多导体(相)电路的最 优瞬时有功电流解⑺。本文将多相电路相序变换原理〔⑼应用于三相 四线制系统,提出
关 键 词:
基于 变换 三相 系统 瞬时 功率 定义
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