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At an AC bus, the power flow is given by the following equation :

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In normal operation, the voltages (V1, V2), as well as the inductive resistance (x), are constants. So the parameter δ defines the power flow.

I would like to ask if the value of δ is constant. If not, what are the parameters that determine its value?

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  • \$\begingroup\$ I think you should be a bit more precise and descriptive in your question. I believe you are asking for power flowing at some other element (probably a transmission line?), as you have two different voltages (so two different buses? do you know what a bus is?). X is denoted as reactance, not inductive resistance. The formula you gave only holds if the line has no resistance, it's an approximation. Also, delta is not a parameter, but a state of your system, just like V1 and V2. Even though you can assume V1 and V2 to be constants, this may not hold in "normal operation" \$\endgroup\$ – xuva Mar 20 at 14:48
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\$\delta\$ is called the power angle. It is the difference in phases between \$ V_1 \$ and \$ V_2 \$. You are correct that depending on its value, positive or negative, it determines the direction of power flow.

$$\delta = \phi_2 - \phi_1$$

Since \$ \phi_2 \$ and \$ \phi_1 \$ can vary, \$ \delta \$ is therefore variable.

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