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The state variable vector ΔX net includes the d and q axis voltages of compensation capacitor.
Assuming there emerges a small fluctuation (Delta varvec{W}) of the node injection vector, the state variable vector will change by (Delta varvec{X}), correspondingly.
Taking ( x_{{D_{i},pcc}} ) as the root bus state variable of the ( i^{text{th}} ) distribution grid, the state variable vector ( {varvec{x}}_{{D_{i} }} ) can be obtained by solving (17, 18).
In each correction step of transmission CPF computation, the state variable vector ( {varvec{x}}_{pcc} ) and load parameter ( lambda ) can be obtained by solving (15, 16) and will be transmitted to each distribution grid control center.
The state variable vector Δ V can be expressed according to (1) as: Delta varvec{V} = - overline{varvec{D}}^{ - 1} overline{varvec{C}} Delta varvec{x} = varvec{E}^{{prime }} Delta varvec{x} (5 where ({varvec{E}}^) is the matrix which contains the row of node voltage component from the ((- overline{{varvec{D}}}^{ - 1} overline{{varvec{C}}})) matrix.
The function g, the components of the state variable vector s, and Iion are determined by an ODE model of a cardiac cell, which will be described next.
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In accordance with the detailed DG models proposed here, the operating states of DGs are included in state variables as: varvec{x}_{text{AC}} = [{varvec{x}},{E}_{{0},{delta}}_{0} ]^{text{T}} (4 where (varvec{x}_{text{AC}}) is the augmented state variable vector on the AC side.
( varvec{x}_{pcc} ) and ( x_{{D_{i},pcc}} ) are the ( n{text{-dimensional}} ) state variable vector of the PCC buses and the ( i^{text{th}} ) component of ( {varvec{x}}_{pcc} ) respectively.
A biological signal transduction system is defined by its state variable vector x, the set of all kinetic rate and initial concentration parameters.
Thus, we can alternatively regard ( {varvec{theta}}_{b} ) as one type of special "measurements" with noises and ( {varvec{theta}} ) as an unknown state variable vector.
A detriment that manifests itself especially when dealing with high-dimensional state spaces, that is, where the state variable is actually a vector.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com