The method involves using a high frequency carrier frequency that is frequency modulated with a sweep signal and simultaneously amplitude modulated, whereby a fundamental frequency of the AM signal is first set that is derived from preferably the second longitudinal mode. It involves a preparation stage, conducting a measurement to define a characteristic field given by traversing stepwise varied degrees of AM in a maximum range of 5 to 45 per cant, deriving the optimum degree of AM from lamp impedance variations, searching a frequency associated with the optimal AM and deriving the operating frequency. Independent claims are also included for the following: (A) a system with a high-pressure discharge lamp and a voltage adapter (B) and a voltage adapter.
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