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The transmission network is incorporated into the ISO problem under two different approaches based on the Nodal and PTDF formulation, respectively.
We formulate the mathematical model of a three-phase neutral-grounded transformer bank with three grounding windings based on the nodal admittance matrices and the coupling-free equivalent circuits.
In the present paper, a simplified computational strategy for the determination of the self-internal-force mode based on the nodal equilibrium is presented for the tensegrity system in a suspendome which is grounded on a newly developed method: the Local Analysis Method.
Subsequently, the aggregators will optimize the detailed energy consumptions of customers within their control to maximize their economic profits based on the nodal prices.
When the optical properties are defined on the vertices rather than elements, we can also use the computed Barycentric coordinates to quickly interpolate the local optical properties at the current photon position based on the nodal values of the enclosing element.
Where ℳ = [ m1, m2, ···, m N] ∈ R M× N denotes the system matrix with m i being the ith column of it, which can be calculated based on the nodal basis functions ϕ i(x) for the source q0 x) [ 25, 29].
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Based on the mapped nodal displacements deformation and stress in each sub-element can be further obtained.
The proposed element is also compared with an existing shear deformable beam element based on the absolute nodal coordinate formulation.
In this model, flexible cables are simulated by 3-node cable element based on the absolute nodal coordinate formulation; the contact between cable and isolated object is simulated based on Hertz contact theory.
In this work, the structure considered is a geometrically non-linear beam which is solved by using a finite element method based on the absolute nodal coordinate formulation (ANCF).
Tur et al. [14] proposed a catenary shape-finding method for catenary based on the absolute nodal coordinate method.
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