Go RIGHT → for the tutorial on using the tool.
Go DOWN ↓ to find out why you might use the tool.
If you want to know why I made this go to the last slide.
If you want to get started, go straight to the tool.
When you supply power to something (a light, a computer, whatever), you do so by sending electricity along a cable.
Normally, in most low voltage situations you can more or less ignore the voltage drop over the cable. This is because:
In tunnels or underground mines, you might want to install cameras or Wi-Fi to cover large areas underground. However, you have to run power to your devices - sometimes over a long distance.
For example, an underground might might look like this:
We have assumed here that the long cables have a resistance of 2 ohms each with no complex components. You need to approximate this value yourself, but it is usually the length in metres multiplied by the resistance per metre.
Well then we could model them each as a 30 ohm resistance, and then we could analyse this like any simple circuits problem.
We would add series resistances together
We would combine parallel resistances and then perform the basic circuit analysis. Easy!
Digital devices typically need a stable DC voltage to operate. This is why your laptop, phone, security cameras etc all come with a "power pack".
The power pack does the job of cleaning and regulating the power for the device.
This is a deep and complex topic, but there are power circuits that can convert from AC to DC, from DC to DC, from higher to lower voltages and from lower to higher voltages.
You might have a camera that:
The camera is a 'constant-power' load, i.e. it modulates the current it draws based on the voltage it is receiving so that it always consumes a constant power.
Assume the camera's optimal voltage is 24 V and that the regulator in the camera is 100% efficient (P = I * V).
If you supply:
Using the camera voltage (Vc) and current (Ic), we can see how this non-linear behaviour affects the voltage we need to supply.
The camera can be modelled in a number of ways. For example, you could consider the camera as a resistive load that changes resistance based on the available voltage.
Using the numbers from before, if you supply:
You are right, doing it for one device is not hard, and doing it for two is manageable, but doing it for 3+ take a serious amount of time.
This is because the voltages throughout the circuit affect the current / voltage and thus effective resistances throughout the circuit which continue to affect....you see the point.
That's ok, just try solving this one by hand
(answer on the next slide)
Ok, so here is the same circuit with the solution.
Fortunately it is easy to check the solution once you have found one.
Yep, the tool solves these problems by starting with initial conditions for the 'effective' resistances and iteratively moves them up and down to reduce the error in the answer.
Hopefully it eventually arrives at some numbers that reduce the error to a small number, and thus represent a "solution" to the circuit (within some tolerance).
However, some circuits are unsolvable!
It can seem counterintuitive that a circuit like this could not have a solution.
It occurs when the current flowing down the cable would cause the voltage to drop too much to be able to supply the power required.
Try the simple circuit from before with 50V input, 50W load and 12.5 ohm cable resistance. This is the limit of this circuit, any higher cable resistance and the circuit will not solve
In real life this also does occur, but tends to follow this pattern:
Learn the tool →!
The following few pages will step through the process of using the tool.
We will cover:
Determine your nodes and branches (i.e. elements and cables)x Any point where the power splits in different directions is a branch. This could be where it splits to head in multiple other cables, OR it could be where the power is tapped off into a 'power element'.
Calculate the resistance of each cable It will hopefully be as easy as multiplying the length of the cable by the manufacturer's specification for the resistivity per metre. It is usually not work modelling short cables, like the ones you use to connect the nodes.
Calculate the power of each load There is a bit of art here, but it is usually doable. For example, if you have two 15W cameras and a 10W Wi-Fi access point at a single location, you might say the total load is 15 + 15 + 10 = 35W. You could also build in some buffer here if you like.
Make a drawing of the network schematically This will make placing the items on the diagram more straight-forward
Drag the loads and cables from the 'Options' area onto the grid lines.
Move the voltage source and the loads by clicking and dragging them.
Move the cables by first click them (they should become highlighted, and then dragging either end.
For example, I have two loads, one 55 W and one 35 W arranges along a single cable. The first section of cable is 330m, and the second section is 250m. If my cable has resistivity of 0.01 ohm / m, the resistances are 3.3 ohms and 2.5 ohms respectively.
Click on the "Solve" button to attempt to find a solution.
You can change the precision of the numbers on the diagram.
Errors with the circuit will prevent the solver from running.
There are some built-in examples of varying complexity.
Sometimes networks are unsolvable. You have to experiment to have them solve.
Even really simple networks can be unsolvable!
You can export your design and import again later. You can even edit the file as JSON (because that is all it is)
You are now fully aware of how to use the tool.
Take me to the tool now!
Thanks for making it this far, I hope you find a use for the tool. Some other things to know:
I made this for a number of reasons.