How does the project manager evaluate his performance on a running project ?

Schedule Performance Index (SPI) and Cost Performance Index (CPI) are the two main performance evaluation parameters for a running project. 

There are many different types of project evaluation, many different terms to describe them and many questions that they can answer. You may have heard the terms formative evaluation, summative evaluation, process evaluation, outcome evaluation, cost-effectiveness evaluation, cost-benefit evaluation and impact analysis. 

Using the industry standard indexes like CPI, SPI, and EVM.

But in general, I as a PM should always keep myself in the safe side.

All these tools and matrices are good, for a running project.  By setting milestones for the project one can measure progress toward the end goal.  Don't forget to also ask for feedback from others - like your boss.  He or she may have an opinion as to how you're progressing.

During the project I believe the2 most important are EVM and CPI.

After the project there may be other factors such regarding stakeholder satisfaction, stakeholder perceived quality (vs expectations) of the project deliverables, % of materialized oportunities, benefits capture, etc

There are so many e-tools avaliable and analysis tools too. Not a big deal in today's time

Through EVM

From my experience, I believe that every good, effective., successful manager (inluding project managers) should put his/her own checklist for his/her own performance taking into account the different considerations relating to the project itself, the project team members, the project key stakeholders expectations and needs,  all translating into commitments and obligations on the project manager in the short, medium and long-term

Ideally it should be done by an independent third party that must consider the following while evaluating a project:  sustainability, replicability, efficiency, effectiveness and relevance.