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Richard Clark wrote:
Hi Nick, Phase is necessarily found in Impedance. As you allow that multiple generators share a line, they are also across the load as a load if they do not present the right phase. As for the "bad idea" of matching, you are appealing to Edison's old and deliberate misreading of Thevenin. Matching does NOT require a resistance, this is a mis-read of conjugate matching that follows the fact (in antennas). It does not drive the need (in power delivery). Power stations only need perform a Z Match, not a Conjugate Match. Any form of X is sufficient to accomplish the task and they do it far simpler through field excitation control. Hello Richard, Even with your redefined version of matching, individual generating stations don't explicitly match to the load reactance or (certainly not) load resistance. A little generation 101. (This goes a little beyond the scope of discussion, but I throw it out because I think it's interesting.): Generators operate in two modes: Isochronous (single generator supplying local bus) and parallel (multiple generators in parallel; connected to a grid). The operator has two main controls: Steam (or whatever) flow to the turbine or other driver, and current to the field. In the isochronous mode, varying steam flow causes the speed of the generator to change. It also varies the amout of power delivered. In the parallel mode, the generator can't measurably push the speed of the grid, so increasing steam flow only increases the electrical power output. In the isochronous mode, varying field current changes the terminal voltage of the generator. In parallel mode, varying field current can't significantly change grid voltage. But it does change the reactive power output (MVAR or kVAR) of the generator, as you said. The normal mode of operation for a large generator is in parallel with the grid, so the operator is using steam (diesel, water, hamsters, etc.) to regulate real power output and field current to regulate reactive power output. Now some anecdotal stuff about how generators are operated. The system dispatcher requests individual generators to adjust their power and VARs to match load. This isn't impedance matching, it's simply supplying the demand. In the case of VARs, the goal is both to supply the demand and to equalize voltage across the system, not to cause any kind of mathematical match between the generator's internal X and the system's X. Oh yeah, I said earlier that individual generators don't appreciably affect grid voltage. That's true, but locally they do have an effect, like tent poles in a big canvas. So the local stations are both supplying their share of the total reactive load and propping up voltage in their area. (The operator increases VAR output by taking his excitation switch to the "raise voltage" position.) Anyway, I digressed from my anecdotal stuff. At my plant, the generator puts out 1050 MW 24/7, but MVAR may vary between 0 (or slightly negative) and 200 MVAR. So we're not matching to any specific impedance, but supplying load and maintaining voltage. A story transmission guys like to tell is how they may use open ended transmission lines as a kind of capacitor bank. Say there's a line 100 miles long from my plant to somewhere that's not needed to carry load. The system controller might connect it at my plant's end but leave the breakers open at the far end. A line has both capacitive and inductive reactance of course, but when unloaded, the capacitive dominates. So the trick of the trade is to use it to supply reactive MVARs. The point of the story in this context is that the controller isn't concerned about SWR on this extremely mismatched line. Another possibly relevant story. We connect our emergency diesel generator to the grid for testing and load it to about 3000 kW and typically from 0 to 100 kVAR. But to fully test the excitation system, the kVAR is at some point raised to 1400. The point being that the generator can be operated anywhere within its rating, with no need to match to any mysterious impedances out there in the world. Makes sense when you think about it. Who would want a generator that was constrained to operate at some fixed ratio of real to reactive power? 73--Nick, WA5BDU 73's Richard Clark, KB7QHC |
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