Cal. HSC § 42350

(a) Any person may apply to the hearing board for a variance from Section 41701 or from the rules and regulations of the district. (b) (1) If the district board has established a permit system by regulation pursuant to Section 42300, a variance, or an abatement order which has the effect of a variance, may not be granted from the requirement for a permit to build, erect, alter, or replace. (2) Title V sources shall not be granted a variance, or an abatement order which has the effect of a variance, from the requirement for a permit to operate or use. (3) In districts with emission-capped trading programs, no variance shall be granted from the emission cap requirement.