Nvidia recommends a 300 watt PSU for the 1030. Nvidia does not know what your system power requirements are, so it is an estimation and they would shoot higher than you would probably need. The 1030 would probably be able to run on a 250 watt system.
I am not sure where you live, but seasonic has a pretty good deal on their PSUs right now and $30 could get rid of the problem all together if the case can support the PSU.
A 1050 would be a nice jump from your integrated graphics if you also got a new PSU.
PCPartPicker part list:
https://pcpartpicker.com/list/jHnVZ8
Price breakdown by merchant: https://pcpartpicker.com/list/jHnVZ8/by_merchant/
Video Card: Zotac - GeForce GTX 1050 2GB Mini Video Card ($112.99 @ SuperBiiz)
Power Supply: SeaSonic - 520W 80+ Bronze Certified Fully-Modular ATX Power Supply ($35.89 @ Newegg)
Total: $148.88
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-09-27 11:17 EDT-0400