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For a weak ac force and low noise strength, the results obtained agree closely with previously available linear response and noiseless solutions, respectively.
Our analysis shows that the performance of the ac-coupled DCR is much more sensitive to the 1/f noise compared to the ac-coupling corner frequency.
A case study shows that the noise rejection procedure which is proposed, very effective in AC, is also promising in DC, and that some kind of automatic identification of noise and PD is feasible resorting to statistical processing of recorded pulses.
However, presence of noise alters the features of AC profiles and leads to some interesting manifestations.
The system is highly resistant to the noise and does not require cancel voltage taps, so it is useful for both AC and DC coils.
AC noise may therefore compromise the reliability of insulation in HVDC networks.
Moreover, all of the AC mixtures are characterised with and without data noise, and it is concluded that noise in the data has a significant influence on the ranking of AC mixtures.
To minimize the impact on the EMI noise of one side caused by adding filter on the other side, certain order must be followed to design AC and DC CM and DM filters.
For weak ac currents and low noise strengths, our results agree closely with previously available linear response and nonlinear response noiseless solutions, respectively.

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