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fUsing 26 kWh, this calculates (I) 21.77 Amps with voltage entered as 3-phase line to line 398V, and (ii) 37.68 A for 3-phase 230V line to neutral.
No wonder I became unsure!
This calculator looks serious, though calculation methods are not displayed.
What do you make of the current levels that it calculates? They're clearly not right - at least for UK 3-phase. (ii) is closer than (i), which is way out.
I tested it and did not get this problem. There might have been a bug which they have since fixed, or some input values were not correctly refreshed when you entered them in your browser. For a given power it gives me the same current for 400V line-line and 230V line-neutral, whereas the 21.77A you got indicates it had taken the 398V as line-neutral.
an alloy such as nichrome, with a highly positive coefficient of resistance, will draw a starting current much higher than the operating current.
It's not that high. There are various alloys with different values of α and I am struggling to get agreement between various sources on the WWW as to the tempco of alloys normally used for heating elements, I think some of the data I am seeing is simply wrong. I am not near my library to check in a grown up text book but will revisit this. Anyway, the cold current of a normal heating element that runs below red heat isn't much higher than its running current. The only common example of a true resistive load with a high inrush is the tunsgten lamp; tungsten has a higher tempco and the operating temperature might be 10 times higher than a heater, so the effect coud be two orders of magnitude greater.
the winding form, especially if spiral, may well be inductive
At 50Hz you can ignore the inductance, no matter how the element is constructed it will be swamped by the resistance. The self-inductance of a wirewound resistance becomes important at radio frequencies, while at the other end of the scale, the physical disposition of conductors working at 50Hz becomes important on very low impedance circuits such as busbars carrying thousands of amps.
Given that the appliances in question (even the charger?) are predominantly non-inductive,
I haven't analysed the behaviour of EV chargers, but I expect they follow that of large SMPSUs with active power-factor correction. In the bad old days, early line-fed switchers simply rectified the mains and smoothed it, resulting in a rather wonky current waveform with poor distortion power factor that was somewhat capacitive. These days, the general idea is to use a DC-DC converter driven by the PFC control that converts the instantaneous AC voltage to the line side DC bus voltage, so that the instantaneous current can be actively modulated into a reasonable sinusoid in phase with the voltage, resulting in good pf both in terms of displacement and distortion. I need to research what the real-world performance is, but top of head would expect EV charging to be no worse than 0.8 and probably much better.