We don't know why you're asking the question, but let's assume that the reader needs to be impressed by the fact that this is your work and no one else's. Bear in mind that while you've asked a perfectly sensible question about English colloquial usage, your question is really about marketing.
You could try...
For the purpose of this study, X was developed originally and without dependence on the paradigms of existing libraries.
I'm cheating. I looked at your profile and saw you're a C++ programmer, so I'm assuming that the purpose of your statement is to describe a software project.
"Original" stresses the idea that it is your creativity and talent that are the foundation of the project.
"Dependence" casts doubt on the competition, or the works of others you want seen as less valuable than yourself.
"Paradigms" is one of a million words that have become cliché, but what has made them cliché is their recognizability in a business context. Using the word can help overcome the ubiquitous gulf between you the artist and they the business people. You're speaking "their language." It also serves to cast doubt on the quality of the other projects as they will be perceived as old-fashioned (just as the word is becoming perceived as old-fashioned).