Common use of See Appendix Clause in Contracts

See Appendix. the vectors and matrices MG, AG, θG, and uG, as MG = diag(Mi), AG = diag(Ai), θG = col(θi), uG = col(ui), and δG = col(δi) where i ∈ VG. The vectors and matrices AI , θI , and uI are defined as AI = diag(Ai), θI = col(θi), uI = col(ui), and δG = col(δi) with i ∈ VI . In addition, let AL = diag(Ai), θL = col(θi) and δL = col(δi) where i ∈ VL. Finally, let P = col(Pi), θ = col(θG, θI, θL), and sin(x) := col(sin(xi)) for a given vector x. Then, it is easy to observe that the dynamics of the synchronous generators, the inverters, and the loads can be written compactly as: MGθ¨G + AGθ˙G = −BGΓ sin(B⊤θ) + uG − δG (26a)

See Appendix. the vectors and matrices MG, AG, θG, and uG, as MG = diag(Mi), AG = diag(Ai), θG = col(θi), uG = col(ui), and δG = col(δi) where i ∈ VG. The vectors and matrices AI , θI , and uI are defined as AI = diag(Ai), θI = col(θi), uI = col(ui), and δG = col(δi) with i ∈ VI . In addition, let AL = diag(Ai), θL = col(θi) and δL = col(δi) where i ∈ VL. Finally, let P = col(Pi), θ = col(θG, θI, θL), and sin(x) := col(sin(xi)) for a given vector x. Then, it is easy to observe that the dynamics of the synchronous generators, the inverters, and the loads can be written compactly as: MGθ¨G + AGθ˙G = −BGΓ sin(B⊤θ−BGΓsin(B⊤θ) + uG − δG (26a)