This paper studies the simultaneous wireless information and power transfer (SWIPT) in the multi-carrier differential chaos shift keying (MC-DCSK) communication system. Two energy harvesting protocols with a power splitting (PS) receiver are considered. In the first protocol, only a fraction of reference sub-carrier signal are used for energy harvesting (EH). In another one, a fraction of all sub-carriers signal are used for EH. We derive the error performance of information decoding (ID) of the two protocols with harvested energy constraints. Then we further optimize the power allocation on sub-carriers by minimizing bit error ratio (BER) of information decoding. The tradeoffs between error performance and harvested energy are obtained with the optimal sub-carrier power ratio. In addition, we compare the throughput and harvested energy of two protocols with total transmitted power and bandwidth constraints.