Methods and systems for supplying more power than a power limit to a powered device (PD) if the PD is capable of receiving power more than the power limit, and receiving power more than the power limit from a power sourcing equipment (PSE) if the PSE is capable of supplying power more than the power limit. The PD and the PSE operates in a power over Ethernet (PoE) environment. The system comprises a power receiving section and a power supply section. The power receiving section comprises a first power-receiving circuit and a second power-receiving circuit, where the first power-receiving circuit is used when receiving power up to the power limit, and the second power-receiving circuit is used when receiving power more than the power limit. The power-supply section comprises a first power-supply circuit and a second power-supply circuit, where the first power-supply circuit is used when supplying power up to the power limit, and the second power-supply circuit is used when supplying power more than the power limit.