Wis. Stat. § 59.24
The clerk of any county that is entitled to reimbursement under s. 16.51(7) shall make a certified claim against the state, without direction from the board, in all cases in which the reimbursement is directed in s. 16.51(7), upon forms prescribed by the department of administration. The forms shall contain information required by the clerk and shall be filed annually with the department of corrections on or before June 1. If the claims are approved by the department of corrections, they shall be certified to the department of administration and paid from the appropriation made by s. 20.410(1) (c), if the claim is for reimbursement of expenses involving a prisoner in a state prison named in s. 302.01, or from the appropriation under s. 20.410(3) (c), if the claim is for reimbursement of expenses involving a juvenile in a juvenile correctional facility, as defined in s. 938.02(10p).
Wis. Stat. § 59.24