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IEVref: | 131-12-37 | ID: | |

Language: | en | Status: Standard | |

Term: | permeance matrix | ||

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Symbol: | Λ | ||

Definition: | for a set of n magnetic circuit elements forming a magnetic circuit, matrix expressing the magnetic fluxes Φ_{i} in the elements in terms of the current linkages Ө_{j} of the elements:$\left(\begin{array}{c}{\Phi}_{1}\\ {\Phi}_{2}\\ \vdots \\ {\Phi}_{n}\end{array}\right)=\left(\begin{array}{cccc}{\Lambda}_{11}& {\Lambda}_{12}& \dots & {\Lambda}_{1n}\\ {\Lambda}_{21}& & & \vdots \\ \vdots & & & \vdots \\ {\Lambda}_{n1}& \dots & \dots & {\Lambda}_{nn}\end{array}\right)\cdot \left(\begin{array}{c}{\Theta}_{1}\\ {\Theta}_{2}\\ \vdots \\ {\Theta}_{n}\end{array}\right)$
NOTE 1 – A permeance matrix is always symmetric and positive definite. NOTE 2 – In electromagnetism, the permeance matrix can be defined, for a set of closed paths, as the matrix expressing linear relations between the magnetic fluxes through the surfaces bounded by the paths and the current linkages in the paths. | ||

Publication date: | 2002-06 | ||

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Internal notes: | 2017-06-02: Cleanup - Remove Attached Image 131-12-37.gif | ||

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$\left(\begin{array}{c}{\Phi}_{1}\\ {\Phi}_{2}\\ \vdots \\ {\Phi}_{n}\end{array}\right)=\left(\begin{array}{cccc}{\Lambda}_{11}& {\Lambda}_{12}& \dots & {\Lambda}_{1n}\\ {\Lambda}_{21}& & & \vdots \\ \vdots & & & \vdots \\ {\Lambda}_{n1}& \dots & \dots & {\Lambda}_{nn}\end{array}\right)\cdot \left(\begin{array}{c}{\Theta}_{1}\\ {\Theta}_{2}\\ \vdots \\ {\Theta}_{n}\end{array}\right)$