"超过自己原来水平" can be translated into English as "surpass one's previous level" or "exceed one's original standard".
Both expressions convey the idea of going beyond or doing better than what one was capable of before. Here are some example sentences for context:
After months of hard work, he finally surpassed his previous level in the competition.
(经过数月的努力,他终于在比赛中超过了自己原来的水平。)
Her recent performance has exceeded her original standard, impressing everyone.
(她最近的表现超过了原来的水平,让大家印象深刻。)