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State-of-charge (SoC) dependent bidding allows merchant storage participantsto incorporate SoC-dependent operation and opportunity costs in a bid-basedmarket clearing process. However, such a bid results in a non-convex costfunction in the multi-interval economic dispatch and market clearing, limitingits implementation in practice. We show that a simple restriction on thebidding format removes the non-convexity, making the multi-interval dispatch ofSoC-dependent bids a standard convex piece-wise linear program.

Convexifying Market Clearing of SoC-Dependent Bids from Merchant Storage Participants