US 11,715,953 B2
Method for load flow analysis of a power distribution system
Mustafa Mohammed J. Al-Khabbaz, Dhahran (SA); and Mohammad A. Abido, Dhahran (SA)
Assigned to KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS, Dhahran (SA)
Filed by KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS, Dhahran (SA)
Filed on Aug. 18, 2021, as Appl. No. 17/405,549.
Application 17/405,549 is a continuation of application No. 16/456,176, filed on Jun. 28, 2019, granted, now 11,169,187.
Prior Publication US 2021/0396792 A1, Dec. 23, 2021
This patent is subject to a terminal disclaimer.
Int. Cl. G01R 21/133 (2006.01); H02J 3/06 (2006.01); G01R 19/25 (2006.01); H02J 3/00 (2006.01)
CPC H02J 3/06 (2013.01) [G01R 19/2513 (2013.01); G01R 21/133 (2013.01); H02J 3/00 (2013.01); H02J 2203/20 (2020.01)] 7 Claims
OG exemplary drawing
 
1. A method for load flow analysis of a power distribution system including, in electrical connection, an electricity generation plant, an electricity transmission grid, and an electricity distribution grid having a plurality of power distribution lines, wherein the power distribution system is configured as a radial network having a plurality of buses, the plurality of power distribution lines, and at least one of the buses has a link to at least two of the power distribution lines, the method performed by processing circuitry configured to:
receive a Branch Matrix (BM) having a row for each power distribution line and a column for each bus, wherein the BM contains values indicating buses and associated power distribution lines;
iteratively determine currents for the plurality of power distribution lines and voltages across each of the buses until a difference between a bus voltage and a previous iterated bus voltage at each bus is below a predetermined tolerance; and
display a graph of bus voltages for each bus as a voltage profile,
wherein
the circuitry iteratively determines the currents by
determining an initial current matrix (CM′) using the BM by multiplying a node current with corresponding matrix elements in the BM, wherein the node current is a ratio of a complex power at a bus and a voltage of the bus; and
determining the currents for the plurality of power distribution lines in a zig zag manner over the matrix elements in the CM′ and records the determined currents in a final current matrix (CM);
the circuitry iteratively determines the voltages by
determining the voltage across each bus based on a voltage drop between buses, starting from buses upstream and moving to buses downstream in the direction of voltage flow.