Search results
Results from the WOW.Com Content Network
Calculation of the mean flow may often be as simple as the mathematical mean: simply add up the given flow rates and then divide the final figure by the number of initial readings. For example, given two discharges (Q) of 3 m³/s and 5 m³/s, we can use these flow rates Q to calculate the mean flow rate Q mean.
The amount of flow between two nodes is used to represent the net amount of units being transferred from one node to the other. The excess function x f : V → R {\displaystyle \mathbb {R} } represents the net flow entering a given node u (i.e. the sum of the flows entering u ) and is defined by x f ( u ) = ∑ w ∈ V f ( w , u ...
A flow graph is more general than a directed network, in that the edges may be associated with gains, branch gains or transmittances, or even functions of the Laplace operator s, in which case they are called transfer functions. [2] There is a close relationship between graphs and matrices and between digraphs and matrices. [9] "The algebraic ...
Find an assignment of all flow variables which satisfies the following four constraints: (1) Link capacity: The sum of all flows routed over a link does not exceed its capacity. ∀ ( u , v ) ∈ E : ∑ i = 1 k f i ( u , v ) ⋅ d i ≤ c ( u , v ) {\displaystyle \forall (u,v)\in E:\,\sum _{i=1}^{k}f_{i}(u,v)\cdot d_{i}\leq c(u,v)}
This can be used to calculate mean values (expectations) of the flow rates, head losses or any other variables of interest in the pipe network. This analysis has been extended using a reduced-parameter entropic formulation, which ensures consistency of the analysis regardless of the graphical representation of the network. [3]
In power engineering, the power-flow study, or load-flow study, is a numerical analysis of the flow of electric power in an interconnected system. A power-flow study usually uses simplified notations such as a one-line diagram and per-unit system, and focuses on various aspects of AC power parameters, such as Voltage, voltage angles, real power and reactive power.
In other words, the amount of flow passing through a vertex cannot exceed its capacity. To find the maximum flow across N {\displaystyle N} , we can transform the problem into the maximum flow problem in the original sense by expanding N {\displaystyle N} .
The maximum flow problem, in which the goal is to maximize the total amount of flow out of the source terminals and into the sink terminals [1]: 166–206 The minimum-cost flow problem , in which the edges have costs as well as capacities and the goal is to achieve a given amount of flow (or a maximum flow) that has the minimum possible cost ...