Reduction of harmonic content in line current to a few percent allows avoiding most of the mentioned problems. Restrictions on current and voltage harmonics maintained in many countries through IEEE 519-1992 in the USA and IEC 61000-3-2/IEC 61000-3-4 in Europe standards, are associated with the popular idea of clean power.
IEEE standards On line current and voltage Harmonic
1.4.3 Multi-pulse rectifier.
1.4.2 Mixing single and three phase diode rectifier