N.H. Rev. Stat. Ann. § 365:1

Any person may make a formal complaint to the department of energy by petition setting forth in writing any thing or act claimed to have been done or to have been omitted by any entity subject to the department's or commission's jurisdictions and in violation of any provision of statute or rule, or of the terms and conditions of registration, tariff, community aggregation plan, its franchises or charter, or of any order of the department or commission, provided such person has first made the same or a substantially similar complaint to the department's consumer services division and exhausted all available remedies available through that division. RSA 541-A:29 and RSA 541-A:29-a shall not apply to informal or formal complaints filed with the department.