angles

Hi there i may need a little more info on your question, as you either have things a little mixed or you are dealing with power flow calculations that are very complex. the best i can do know is to explain some things.

Voltage and load are separate vectors that can be formulated into power factor.

Rather than think of two sine waves or three in the case of power factor correction, think of two wheels.

If i take one wheel and place it against the other so as they are perfectly in line, when i turn one the over will turn with little resistance. this is a resistive load and the voltage angle is in phase or if you like both there wave forms Load and Voltage are in the same position relative to there sinusoidal peaks

If we then turn one of the wheels at an angle relative to the other we can notice more energy is not going into the other wheel to the point where we bring it to 90 deg it will not turn at all. this is what you can think of as a lagging load angle as when it too is at 90 deg no POWER will flow. This case the two wave forms voltage and inductive load are in different positions ie the current being drawn after voltage has already peaked.

A leading angle is capacitive and if we imagine that at 90 deg no power would flow there either. in this case the two wave forms voltage and capacitive load would again be in different positions, however this time the load current leads the voltage and the current wave peaks first.

Power factor correction is like Mr capacitive pulling the wheel back from Mr inductive so it can turn with no loss.

I do hope its not power flow calculations you want as ill send you to google to look up Newton Raphson method.

Good Health Dub