Abstract:
A method for calculating voltage values in a power grid, including: obtaining a primary circuit representation (PCR) corresponding to the power grid and including: multiple nodes separated by multiple impedances; and an independent source connected to one node; identifying a high degree node; obtaining a modified circuit representation (MCR) by connecting, in the PCR, an auxiliary voltage source having an auxiliary voltage value to the high degree node, the MCR including a modified characteristic matrix and a modified source vector; calculating a modified state vector based on the modified characteristic matrix and the modified source vector; generating an admittance matrix based on the multiple impedances and the auxiliary voltage; obtaining an auxiliary voltage adjustment value using the admittance matrix; obtaining a primary state vector by adjusting the modified state vector using the admittance matrix and the auxiliary voltage adjustment value; and obtaining the voltage values from the primary state vector.
Abstract:
Techniques herein are for generating geometric models. A method involves receiving a raw data set. Generation parameters include an abstraction function, a raw data set, a plurality of size pairs, and a quality interval. Each size pair comprises a view size and a portion size. The view size comprises an amount of display area. The portion size comprises an amount of raw data. For each size pair, associate a set of grid square sizes with the size pair. Each grid square size comprises a multiple of natural units. The quality interval contains a multiplicative product of the grid square size times a ratio of the view size to the portion size. Generate a set of geometric models based on the raw data set, the plurality of size pairs, the abstraction function, and the set of grid square sizes associated with the plurality of size pairs.