The Corp. for Public Broadcasting yesterday shelled out $ 1 million to encourage Boston-based American Program Service as a new source of programming for public TV.At a meeting in Lincoln, Neb., the CPB board of directors also allocated $ 796,000 to carry out legislation Congress passed last year demanding “fairness and balance” in public broadcasting shows. APS — the second-largest distributor of public TV programs in the U.S. behind PBS — will be able to buy new programs in development, speed buying syndicated shows and encourage stations to produce programs with a national broadcast potential. Unlike PBS, APS is not a membership organization and survives mostly through program sales to public TV stations. APS must obtain matching funds of $ 1 million from public TV stations and eventually repay the $ 1 million to CPB. CPB chair Sheila Tate said it is “important to have another strong source of national programs.” “Inclusion is the watchword of public broadcasting,” said CPB prez Richard Carlson.