He wants the National Assembly to probe payments to LTWP in 2017 before it started feeding electricity to the national grid.
The payments, government and LTWP have in the past explained, were a penalty for failure to provide the firm with a power transmission line by early 2017.
During the signing of the agreement, the Power Purchase Agreement (PPA) between Kenya Power and LTWP provided that there should be a penalty in the event that the State does not have a line between Marsabit - where the plant is located - and Suswa for redistribution to the rest of the grid.
Mr Makalip now claims that the billions paid could be the reason Kenyans are suffering due to the high cost of electricity
In the petition, the MP also questions the role of Ms Yeda.
"There is possibility of conflict of interest whereby the director general for the East Africa Development Bank, the bank that provided the loan to finance the project, Ms Yeda Apop Vivienne, is also chairperson of KPLC board of directors," said Mr Makilap.
Ms Yeda was appointed KPLC chair in 2020. She has been serving at the EADB from 2013.
LTWP started feeding power to the national electricity grid in October 2018.
In 2017, LTWP kicked up a storm after it demanded payment for Deemed Generated Energy after the government failed to live to its end of the agreement and have a transmission line ready between Loyangalani and Suswa in early 2017.
The power line, delayed after the initial contractor Isolux experienced a financial hiccup, was completed in August 2018 and enabled supply of power.
LTWP demanded Sh19.87 billion but following a series of meetings by the firm, the Energy Ministry and Kenya Power, the penalty was negotiated to Sh17 billion.
The tariff hike was effected in June 2018 and will stay until May 2024.
This is the payment the MP wants Parliament to investigate.
LTWP and the Energy ministry early this year told the parliamentary Public Investments Committee that the penalty was based on estimates of how much power LTWP could produce as there was no data at the time showing patterns of power generation.
LTWP was also one of the issues covered by the Presidential Task Force on Review of Power Purchase Agreements.
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In its report, the team noted that the plant was prone to high intermittency and that it rarely achieved continuous power production matching its 310MW installed capacity in 2020.