Plan proposed by Virginia delegation, desiring a bicameral legislative branch with representation relying on the states's wealth or population. This plan gave the larger states more power, since they had more people and generally more wealth.
electorial college ->
... and the results are red for our state
William Paterson's plan, wanted the legislature to contain one house where each state would be represented equally. Since, Paterson was from New Jersey, his plan gave power to the smaller states that were oppressed by the Virginia plan.
Alexander Hamilton created a plan named after himself, proposing that part of the legislature and executive branch should be made of members that hold their position for life, as long as they behave appropriately.
For presidential elections the electoral college, composed of the same number of senators and representatives per state, castes votes on one parties candidate for the state, typical using the states popular vote. This compromise came about when the conference realized that choosing a president through congress could allow one party to have too much control. They also looked at allowing state legislature to choose, but distrusted them and created the electoral college instead.
A large conflict between the north and the south included slave population. The south, having a large slave population wanted all slaves to count for the representation in the legislature. The north opposed the south not wanting the southern states population to increase anymore. The congress came to a comprise to count only 3 out of every 5 slaves to the south's population. Overall the compromise created division and factions it the U.S., which try to prevent selfish nature in government.
This compromise encompassed the Virginia and New Jersey plan. One legislature branch had representation based on population to support larger states. The second legislature branch compromised with smaller states making representation equal for all states. This compromised between the two main plans, making sure that the majority of population was accounted for, while giving smaller states and minorities a voice. Overall the compromise made sure the majority did not oppress the minority.