Suppose, A generator is running at isolated mode and is at steady state with 100% excitation, 100% rated terminal voltage and 100% input and output power. (Internal losses asides for now and assume fixed resistive load).Keeping every other things constant,What happens when we over-excite slightly, say 120%? My guess is, the generator's speed (frequency) should slightly decrease (to 100/120 % of rated speed). [My explanation for that:
First, when excitation is increased to 120%, the speed remaining same, the generated voltage would increase to 120%. So, the load power increase by (120%)^2. So, the load power greatly exceed the constant (100%) input power. So, de-accelerating torque is produced and rotor slows down. The rotor slows down until the generated voltage becomes 100% again and the ouput power also becomes 100%. There will be some oscillations, but anyway thats gonna be the final stable point.
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Similiarly, if we slightly under-excite, I guess, the generators speed should go up and stabilize somewhere. Clearly, it shouldn't go up and up and up.
I tried simulating this in Matlab, simulink SimPowerSystems, but for the case of under-excitation, the RPM keeps on increasing and increasing. Amazingly, the generated voltage didn't go up with the speed but remained fixed at 1 pu. Please keep in mind that no AVRs is used and both the input mechanical power and the excitation voltage is fixed.
And lastly, one question,I can understand that greatly over-exciting can lead to catastrophic problems due to core saturation. Does, greatly under-exciting have any such problems?
Thanks in advance.
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