Base state: P L1 = p 1, P L2 = p 2, P L3 = p 3; Fault state: P L1 = p 1′, P L2 = p 2′, P L3 = p 3′ = 0; where P Li is the active power flow value of branch Li; p i denotes the base state; and p i ′ denotes the fault state.
At the same time, an auxiliary measurement vector is defined as {tilde{varvec{z}}} = { U_{i},P_{ij},Q_{ij},P_{i},Q_{i},I_{ij}^{2} } (5 where ( {tilde{varvec{z}}} in R^{m} ) is the auxiliary measurement vector; P ij and Q ij the power flow measurements of branch ij (from bus i to bus j); and ( I_{ij}^{2} ) the square of current magnitude of branch ij (from bus i to bus j).
To determine the flow at the apex of the Ile delta, observations of Ile runoff in Kapshagay and Ushzharma have been considered, as well as the total flow of all branches formed in the top of the modern delta (Ile, Zhideli and Suminka).
The vein graft was delivered over the thoracic wall and anastomosed to the RGEA graft in an end-to-side fashion without occlusion of the flow to posterolateral branch of the circumflex artery (Figure 3A).
We confirmed no portal flow of the posterior branch by the doppler ultrasonography before second operation.
This paper presents a simplified approach that was developed for the two-phase flow of the rising branch using the energy equation for a steady pipe flow, based on the average fluid fraction, observed slippage between phases, and isothermal assumption.
The unique rheological properties of RBC flow through branching networks of small vessels (Fahreaus effect and plasma skimming at bifurcations [ 16]) results in wide distributions of capillary hematocrits and RBC flow rates.
During gestation the fetal liver directly receives about 50% of maternal blood flow via the branch of the umbilical vein that connects to the portal vein [62].
Injection uncertainties lead to the uncertainties of branch flow, which poses great threats to network security.
Therefore, the PDF of branch flow is tend to be an approximate normal distribution, which makes the GC-PLF calculation method effectual in this case.
Equations (23) and (24) indicate that the system should accommodate the worst scenario realization of branch flow under injection uncertainties for safe operation.
