Distribution of Ground Fault Currents Along Transmission Lines -- An Improved Algorithm
The calculation of fault current distribution between ground wires and ground is important for the operation of modern power systems. A new method is presented based on an approach whereby the current distribution is solved through the computation of driving-point impedances. The method is applied to three phase systems with mutual couplings between conductors (phase and ground, respectively) included. Currents computed by this method and methods published in recent literature are compared and are found in good agreement. Results show that the method is more efficient in terms of CPU time and memory space.
Safety Performance of Large Grounding Grid With Fault Current Injected from Multiple Grounding Points
Due to the overhead ground wires of transmission lines or the transformer's neutral point connected to a substation grounding grid, it looks like that there are many currents injected into or drawn out of the grounding grid from different grounding points when fault occurs. As the grounding grid is becoming larger and larger in area, the potential difference within the grounding grid may become obvious, and the assumption that the grounding points can be regarded as one point may not be suitable. This paper proposes a method to analyze the non-equipotential grounding grids with the fault current injected from multiple grounding points due to the overhead ground wires of transmission lines or the transformer's grounded neutral point. With the method, the influences of the grid area, soil resistivity, material of the grid conductor, and relative position of the grounding points on the performance of the grounding grid are thoroughly analyzed.
Linear Programming in the Allocation of Milk Resources for Cheese Making
Abstract To use linear programming, the cheese making process can be modeled as a resource conversion process. The relationship between input milk resources and output products can be analyzed using mass balance assumptions. The variables used in the linear programming model will represent the pounds of each milk resource chosen to formulate a vat of cheese milk. Additional variables will be used to represent the pounds of cream to be removed from a milk resource that has the potential to have cream removed. Three objectives that could be considered are 1) maximize net returns, 2) maximize cheese yield, or 3) minimize cost. A hypothetical example is used to illustrate how the cheese making process can be modeled. This linear programming model depends on formulas that relate ratio of casein to fat of milk to the fat on the dry basis of the cheese. Sensitivity analysis is performed to determine at what cost a milk resource not in the optimal formulation will replace a milk resource currently in the optimal formulation. The linear programming model can be an effective management tool in the allocation of milk resources for cheese making.