Normal connection can be replaced by numerous words and phrases depending on the context. One possible synonym for a normal connection is regular or standard connection. Another synonym might be typical or customary connection. In a technical context, a reliable connection could be used interchangeably with a normal connection. Similarly, a consistent or stable connection might indicate the same meaning. Additionally, a routine, conventional, or expected connection could be used synonymously for normal connection. Whatever word choices one selects, it's essential to choose the most appropriate synonym that accurately conveys the intended meaning and the context.