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Optimizing Accuracy: Complex Number Calculations for RL Circuit
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[QUOTE="gneill, post: 4567711, member: 293536"] Staying in rectangular form it's possible to carry through the calculations exactly when the given values are all expressed with whole numbers. Here, for example, ##I_L = \frac{12176}{13121} - j\frac{4888}{13121}##. For practical work, though, this rarely happens, and in general all values have some uncertainty associated with them. Keep enough guard digits in all intermediate values though the calculation so that rounding and truncation doesn't introduce errors larger than your uncertainties! Angle conversions, in particular can be troublesome since the conversions are not linear functions: plot the tan and arctan functions and see. In some parts of the curves small errors can be magnified while in other places the conversion is practically insensitive to small changes in the function argument. My advice is to keep more digits in angles than you think is necessary and never round intermediate angle values. Round only for final result presentation. [/QUOTE]
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Optimizing Accuracy: Complex Number Calculations for RL Circuit
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