Form 2210 is the form which is used to calculate your federal underpayment penalty when you file your income tax return early in the following year. (State underpayment penalties may be calculated differently; I will only talk about federal here.) So the simple answer is that any approach that will result in 0 penalty as calculated on Form 2210 at the end of the year will avoid the penalty.
From your description, it seems you do not have tax withholding from your paycheck, as employees do, so you need to pay estimated taxes. There are two ways to calculate the required minimum level of estimated taxes for each quarter (that needs to be paid by that quarter's estimated tax deadline). The first is that each quarter you have to pay 1/4 of the required estimated taxes for the whole year (since you have no tax withholding, the required estimated taxes for the whole year is 90% of this year's tax or 100%/110% of last year's tax). The second is the Annualized Income Installment Method (calculated on Form 2210 Schedule AI), which allows you to consider the income "so far" up to each quarter, which may help avoid penalty in cases where you unexpectedly got more income in later quarters. You get to use whichever of the two calculations results in a lower penalty.
The Annualized Income Installment Method calculates the amount of estimated tax you are supposed to have paid up to a given quarter based on your income "as you go" up to that quarter, scaled up to the whole year ("annualized"). If you make $30k in the first quarter (which is 3 months), your annualized income for 12 months based on that is $120k, so you calculate your annual tax based on $120k, and then take 22.5% (90% of 1/4) of the tax as the estimated tax you need to have paid up to the first quarter. So in your example, if your tax the whole year based on $120k of income is $12k, then you would have to pay $3k estimated tax the first quarter to be enough for the Annualized Income Installment Method.
You can't just pretend that your income the whole year is going to be your income your first quarter, and calculate the tax based on that, because tax brackets are progressive, so the first bit of income is taxed at lower rates than later bits of income (and the deductions and tax credits effectively make a 0% bracket so the very first bits of income have no tax), so if people could do that then they would pay little or no tax in the beginning of the year, and more tax in later quarters, even if their income is uniform through the year, which would be unfair to the government because they would effectively be giving an interest-free loan to people by allowing them to delay some tax from earlier to later in the year.
If you are pretty sure that the $30k of income will be all your income for the entire year, you could even pay 1/4 of the annual tax for $30k of income, which, if you are saying that $30k of income has $520, means you could just pay $130 per quarter. If you're right that this is all your income for the year, you will end up not having any penalty. Although you won't have paid enough under the annualized income calculation, you would have paid enough based on the 1/4 of the whole year's required payment calculation. However, you are taking a gamble, because if you unexpectedly get income in a later quarter, you would be screwed -- your whole year's tax would increase, which means your payments in previous quarters would no longer reach the 1/4 of whole year's payment level, and you do not have the annualized income calculation to fall back on, so you will have a penalty for earlier quarters.
The only way to guarantee you will not have a penalty regardless of events later in the year, is to pay either 1/4 of the 100%/110% of last year's tax level each quarter, or pay enough each quarter to satisfy the Annualized Income Installment Method based on income up to that quarter.
