Without visual insight into a power network, it is very difficult to identify a problem, let alone solve it. A good graphing tool is therefore very important to help one understand a power network, identify any issues and come up with the solutions.
This post presents a way to graphically represent a power network using a free software called yEd. My first experience of using yEd was back in 2012 when I was trying to build a representative power system for Great Britain. I used a data set from an old security and quality of supply standards (SQSS) report and built a Matpower case file. The data set had around 2000 nodes and 3500 branches. One can imagine the complexity of solving OPF type problems on such a test case. The first challenge with that data set, like any other data set build from scratch (without a load flow solution), was to find a feasible solution. My first attempts at using DC-OPF and AC-OPF models resulted in infeasibility and I was at a loss that what is causing this infeasibility. I tried removing all the constraints on generation and thermal ratings of the lines, but the test case did not yield a feasible solution. After trying all means, I decided to find a way to plot this large network and that’s when I stumbled upon yEd. After plotting the network, I found various disconnected components of the graph with very small loads attached to them. One plausible explanation of such disconnected components was that some transformer data linking to such low voltage nodes were missing from the SQSS report. Anyways to cut the long story short, after aggregating these nodes and making sure the network is a one big connected graph, the DC and AC OPF problems on the big Great British transmission system test case yielded feasible solutions (with no bounds on generation and thermal ratings-how I fixed that is another story!)
I would not have built a representative model of Great Britain that yielded plausible results without the help of a visualisation tool. In later years, I used this tool on numerous occasions to plot line flows while trying to understand why the cheapest generation was not being dispatched, and to find out the location of the binding constraints in a network. Power networks are peculiar, sometimes they throw up surprises, things are not very obvious and needs some digging in to get to a plausible reason-that’s where tools like yEd comes handy.
yEd is a free and very powerful graphing software. It allows a user to build a graph using a graphic user interface. A more convenient way to visualise large networks is to write a graph file and open it in the editor. yEd can read numerous data formats for a graph including tgf (trivial graph format) and xml (extensible markup language) file formats. tgf is a basic graph file that contains information about number of nodes in a graph, connections and direction of flows. yEd have numerous layout algorithms which are suitable for different types of graphs. Some layout algorithms are as follows:
- hierarchical (useful for tracing power flows)
- Classic (my favourite!)
- UML style
|Hierarchical layout of the 24 bus system|
|Circular layout of the 24 bus system|
|Radial layout of the 24 bus system|
The network diagrams in yEd can be exported in many different formats including jpeg, pdf, png and svg file formats.
yEd copes with very large networks reasonably well. The biggest network I have plotted using yEd is a Polish network with 2736 nodes. The jpeg file is too big to attached here. The diagrams can be seen on my github page.
A Python script can be found here that can produce a tgf (Trivial graph format) file from a Matpower test format. A tgf file then can be opened in yEd.