Judul: Potential Development of Nano-Hydro Power Plants in Indonesia as a Renewable Alternative Energy
Abstrak: Potensi pengembangan energi terbarukan perlu dieksplorasi lebih jauh melalui analisis berbagai parameter iklim, khususnya terkait proyeksinya di masa depan. Salah satu parameter iklim yang diproyeksikan akan mengalami perubahan di masa yang akan datang ialah curah hujan. Besaran nilai curah hujan harian akan menentukan potensi pengembangan pembangkit listrik tenaga air, salah satunya untuk nano hydro. Pada studi ini, nilai curah hujan harian tahun 2050-2080 diproyeksikan menggunakan tiga luaran model iklim global CMIP6 yaitu ACCESS-ESM1-5, FGOALS-f3-L, dan MIROC-ES2L dengan skenario perubahan iklim, yaitu SSP1.0-2.6. Model CMIP6 dikoreksi terlebih dulu menggunakan koreksi bias statistik. Peningkatan nilai curah hujan harian berdampak pada peningkatan potensi pemanfaatan PLNH di Indonesia. PLNH menjadi salah satu energi alternatif terbarukan yang dapat digunakan untuk pemenuhan energi dengan daya rendah seperti untuk penerangan dan pengisian baterai. Nilai curah hujan harian yang melewati ambang batas 10 mm diakumulasikan guna melihat total daya yang dapat dihasilkan setiap bulannya. Didapati adanya peningkatan nilai akumulasi curah hujan harian pada pemodelan GOALS-f3-L, MIROC-ES2L, dan ACCESS-ESM1-5 yaitu sebesar 11, 52, dan 61%. Besar daya yang dapat dihasilkan tiap bulannya adalah berkisar dari 20 sampai 58 kWh dengan pemodelan ACCESS, 20 sampai 96 kWh dengan pemodelan F-Goals, dan 15 sampai 111 kWh dengan pemodelan MIROC., The potential for developing renewable energy needs to be explored further through the analysis of various climate parameters, particularly related to its projections in the future. One of the climate parameters that is projected to change in the future is rainfall. Daily rainfall value will determine the potential for the development of hydroelectric power plants, one of which is for nano hydro power generator (PLNH). In this study, the daily rainfall values in 2050-2080 were projected under SSP1.0-2.6 scenario using three CMIP6 global climate model outputs, namely ACCESS-ESM1-5, FGOALS-f3-L, and MIROC-ES2L. The outputs of those models were corrected by using statistical bias correction. The increase of daily rainfall expected to increase the potential use of PLNH in Indonesia. PLNH can be a renewable alternative energies that can be used to fulfill low-power energy such as lighting and battery charging. Daily rainfall values exceeding 10 mm threshold were accumulated in order to get the total power that can be generated each month. The result showed an increase in the value of daily rainfall accumulation from the GOALS-f3-L, MIROC-ES2L, and ACCESS-ESM1- 5 modeling outputs by 11, 52, and 61%. The amount of power that can be potentially generated per month is in the range from 20 to 58 kWh in ACCESS, 20 to 96 kWh in F-GOALS, and 15 to 111 kWh in MIROC modeling outputs
Keyword: CMIP6, Curah hujan, nano hidro, energi alternatif terbarukan, Perubahan iklim

Judul: Potensi Pemanfaatan Curah Hujan sebagai Sumberdaya Pembangkit Listrik Nanohidro
Abstrak: Water resources are be an source energy alternative that are widely used by many developing countries and developed countries as the main source of national energy. Generally, a power plant that uses water resources requires a large flow of the river or through the dam energy to generate electricity, but the applying of precipitation potencial is not widely done. Nanohydro power plants developed in this study utilizes precipitation that falls onto the surface of building. This tool has a small size and can be moved around (portable/moveable) with simple system to facilitate its use. Due to large precipitation changing over time, then the utilization of rainfall is conditioned prior to reaching the minimum required discharge limits to rotate and maintain the turbine rotation. Minimum flow required to rotate and maintain the turbine is about 4-5 liters per second. Nanohydro power plants have an efficiency of 5,23% with a tool for value and efficiency of the turbine generator efficiency of 40,96% and 12,76%. Turbine of the power plant can be spun at a speed of 60 rpm with 0.4 height and flow rate of 5 liters per second. With the rotational speed of the turbine, nanohydro power generation can produce power about 2 watt and can turn on the 3 watt LED lamp with a light level of ignition criteria.
Keyword: Bogor Agricultural University (IPB), efficiency, nanohydro, rainfall, power generation, alternative energy

Judul: Pelabelan Super Vertex Magic
Abstrak: Super vertex magic labeling is labeling on graph with is a set of edges mapped into and is a set of vertices mapped into . It has a vertex magic labeling in which and represents the size and order of the graph respectively. This manuscript proves that paths, cyclics, and disjoint union of cyclics have a super vertex magic labeling. There are four theorems to be discussed. The first theorem proves that path is super vertex magic if and only if is odd and . The second theorem proves that cyclic is super vertex magic if and only if is odd. The third theorem proves that bijection function from an edge set onto of graph can be extended to a super vertex magic labeling if and only if the set amount of edge label that incidents with a vertex in the graph, consists of sequential integers as many as vertices in the graph. The fourth theorem proves that disjoint union of the cyclics consists of cyclics with each cyclic has vertices is super vertex magic if and only if and are odd.
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