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"ABSTRAK Dalam tugas akhir ini ditinjau penggunaan beberapa rumusan untuk menentukan nilai parameter penalti awal yang digunakan pada penyelesaian persoalan minimisasi dengan kendala melalui Metode Fungsi Penalti Interior. Tiga rumusan yang ditinjau, yaiturumusan Eiacco-McCormick (1968), rumusan Rao (1984) dan sebuah rumusan percobaan. Kesemua rumusan tersebut dicobakan pada beberapa kasus, termasuk kasus minimisasi fungsi Rosenbrock dalam dimensi dua. Efisiensi dari metode fungsi penalti interior dalam ditingkatkan dengan memilih nilai parameter penalti awal yang tepat untuk setiap persoalan."

"[Indonesia merupakan salah satu negara berkembang di Asia Tenggara dan belum seluruh daerahnya menikmati energi listrik. Sebagian besar daerah yang belum menikmati energi listrik tersebut berada pada daerah terpencil disebabkan oleh tidak adanya jaringan listrik dari pusat. Jaringan listrik dari pusat tidak tersedia karena pada daerah terpencil kebutuhan energi listrik sedikit sehingga harga listrik per kWh jadi lebih mahal. Indonesia memiliki karakteristik geografis pegunungan dan berbukit. Oleh karena itu, pembangkit listrik tenaga mikrohidro menjadi pilihan energi listrik pada daerah terpencil. Sebelumnya telah dilakukan perancangan turbin mikrohidro dengan head total setinggi 2 m, yaitu turbin air openflume dengan rasio hub-to-tip sebesar 0,4 dengan free vortex theory. Tulisan ini menampilkan verifikasi data hasil perancangan sebelumnya dengan metode numerik melalui simulasi CFD (Computational Fluid Dynamics). Modifikasi dilakukan pada rancangan turbin yang sebelumnya dengan merubah besar sudut sudu pada bagian masuk dan keluar. Simulasi CFD pada turbin openflume ini dilakukan menggunakan software ANSYS Fluent 15.0 dengan model turbulensi k- dan mendefinisikan model simulasi dengan turbo-topology. Tulisan ini membandingkan karakteristik performa dari turbin awal dan turbin modifikasi dengan melihat debit aliran, torsi, dan daya poros pada tiap RPM yang dihasilkan. Efisiensi turbin tertinggi dari turbin adalah 62.47% pada kecepatan putar 600 RPM dengan sudut sudu bagian masuk 72.3o dan bagian keluar 76.5o.

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Indonesia is one of developing country in South East Asia yet ironically parts of its region cannot derive the luxury of electricity. Most area without electricity yet

is located in remote areas which is caused by the inexistence of electrical transmision from central. Electrical transmision from central is not avalailable

because the needs of electricity in remote areas are minimum, so that the price of electricity are more expensive per kWh. Indonesia has major geographical

characteristics with its mountains and highlands. Therefore, a power plant powered by microhydro plant has been chosen as electricity source in such place. Beforehand, micro-hydro turbine design has been carried out with total head 2 m, that is openflume propeller turbine with 0,4 hub-to-tip ratio with the free vortex

theory. This writing represents the verification of designing results with numeric method accomplished by CFD (Computational Fluid Dynamics) simulation. Modification is applied on the previous turbine design with changing the blade angle on inlet and outlet. The simulation of CFD on this openflume turbine propeller was performed using ANSYS Fluent 15.0 software with k- turbulence model and defining the simulation model with turbo-topology. This writing

compares the performance characteristics of the original turbine and the modified turbine with flow capacity, torsion and shaft power at each RPM produced. The highest turbine efficiency is 62.47% at 600 RPM with inlet blade angle 72.3o and outlet blade angle 76.5o;Indonesia is one of developing country in South East Asia yet ironically parts of its region cannot derive the luxury of electricity. Most area without electricity yet is located in remote areas which is caused by the inexistence of electrical transmision from central. Electrical transmision from central is not avalailable because the needs of electricity in remote areas are minimum, so that the price of electricity are more expensive per kWh. Indonesia has major geographical characteristics with its mountains and highlands. Therefore, a power plant powered by microhydro plant has been chosen as electricity source in such place. Beforehand, micro-hydro turbine design has been carried out with total head 2 m, that is openflume propeller turbine with 0,4 hub-to-tip ratio with the free vortex theory. This writing represents the verification of designing results with numeric method accomplished by CFD (Computational Fluid Dynamics) simulation. Modification is applied on the previous turbine design with changing the blade angle on inlet and outlet. The simulation of CFD on this openflume turbine propeller was performed using ANSYS Fluent 15.0 software with k- turbulence model and defining the simulation model with turbo-topology. This writing

compares the performance characteristics of the original turbine and the modified turbine with flow capacity, torsion and shaft power at each RPM produced. The highest turbine efficiency is 62.47% at 600 RPM with inlet blade angle 72.3o and outlet blade angle 76.5o;Indonesia is one of developing country in South East Asia yet ironically parts of its region cannot derive the luxury of electricity. Most area without electricity yet is located in remote areas which is caused by the inexistence of electrical transmision from central. Electrical transmision from central is not avalailable because the needs of electricity in remote areas are minimum, so that the price of electricity are more expensive per kWh. Indonesia has major geographical characteristics with its mountains and highlands. Therefore, a power plant powered by microhydro plant has been chosen as electricity source in such place. Beforehand, micro-hydro turbine design has been carried out with total head 2 m, that is openflume propeller turbine with 0,4 hub-to-tip ratio with the free vortex theory. This writing represents the verification of designing results with numeric method accomplished by CFD (Computational Fluid Dynamics) simulation. Modification is applied on the previous turbine design with changing the blade angle on inlet and outlet. The simulation of CFD on this openflume turbine propeller was performed using ANSYS Fluent 15.0 software with k- turbulence model and defining the simulation model with turbo-topology. This writing

compares the performance characteristics of the original turbine and the modified turbine with flow capacity, torsion and shaft power at each RPM produced. The highest turbine efficiency is 62.47% at 600 RPM with inlet blade angle 72.3o and outlet blade angle 76.5o., Indonesia is one of developing country in South East Asia yet ironically parts of

its region cannot derive the luxury of electricity. Most area without electricity yet

is located in remote areas which is caused by the inexistence of electrical

transmision from central. Electrical transmision from central is not avalailable

because the needs of electricity in remote areas are minimum, so that the price of

electricity are more expensive per kWh. Indonesia has major geographical

characteristics with its mountains and highlands. Therefore, a power plant

powered by microhydro plant has been chosen as electricity source in such place.

Beforehand, micro-hydro turbine design has been carried out with total head 2 m,

that is openflume propeller turbine with 0,4 hub-to-tip ratio with the free vortex

theory. This writing represents the verification of designing results with numeric

method accomplished by CFD (Computational Fluid Dynamics) simulation.

Modification is applied on the previous turbine design with changing the blade

angle on inlet and outlet. The simulation of CFD on this openflume turbine

propeller was performed using ANSYS Fluent 15.0 software with k- turbulence

model and defining the simulation model with turbo-topology. This writing

compares the performance characteristics of the original turbine and the modified

turbine with flow capacity, torsion and shaft power at each RPM produced. The

highest turbine efficiency is 62.47% at 600 RPM with inlet blade angle 72.3o and

outlet blade angle 76.5o]"

"Negara Indonesia memiliki beberapa penduduk yang telah berpencar dalam kelompok-kelompok kecil menempati daerah yang jauh dari perkotaan atau daerah terpencil. Daerah terpencil di Indonesia pada umumnya berpenduduk ratarata 600 keluarga. Mereka seringkali belum mendapatkan energi listrik seperti yang didistribusikan pada daerah perkotaan. Penyebabnya adalah mahalnya pembangunan jaringan listrik karena faktor jarak dan kondisi geografis Indonesia yang memiliki banyak pegunungan. Indonesia merupakan negara kepulauan, namun ia juga memiliki karakteristik geografis pegunungan dan perbukitan, sehingga memiliki banyak sumber daya energi yang dapat dimanfaatkan dari tinggi jatuh air. Oleh karena itu, pembangkit tenaga listrik turbin air pikohidro (< 5 kW) menjadi pilihan untuk daerah - daerah terpencil. Pada sebuah sistem pembangkit listrik tenaga pikohidro, efisiensi merupakan parameter yang penting. Semakin tinggi efisiensi, semakin banyak energi yang dapat dimanfaatkan dari sumber daya air tersebut agar dapat menyerap secara maksimum daya air yang mengalir. Untuk meningkatkan efisiensi, elemen yang paling berpengaruh adalah sudu dari turbin tersebut. Sudut kemiringan dari sudu turbin air harus disesuaikan dengan tinggi jatuh dan debit aliran dari sumber daya air tersebut. Selain itu, tinggi jatuh dan debit aliran air juga menentukan jenis turbin pikohidro yang dapat dioperasikan. Dipilih jenis turbin air openflume yang memiliki efisiensi yang tinggi pada kondisi tinggi jatuh dan debit aliran 1-5 m dan 0.01 ? 0.1 m3/s. Oleh karena itu, dapat dioperasikan lebih mudah dan cocok dengan karakterisik aliran air di Indonesia. Makalah ini akan membahas sebuah rancangan sudu turbin openflume dengan metode numerik. Turbin yang telah dirancang disesuaikan dengan karakteristik aliran air Danau Salam UI, Depok, Jawa Barat yaitu dengan tinggi jatuh sebesar 2.7 m dan debit aliran sebesar 0.041 m3/s. Perancangan sudu turbin tersebut dilakukan secara komputasi dan diperoleh efisiensi total sebesar 81% menggunakan CFD (Computational Fluid Dynamic).

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Indonesia has some population spread out in small groups. Those small groups are occupying the regions that is far from the cities as known as remote areas. The remote areas in Indonesia are mostly not receiving any electricity from the cities. If it were to build a electicity transmission the cost will be too high because of the distance and the mountains. Even though this country is an island country, it has a lot of mountains and hills so it has a lot of energy resource from water height drop. Because of that, electricity for the rural regions can use a hydro power plant. In a picohydro power plant system, efficiency overall is one of the important parameter. More efficiency overall it has, more energy it can gained from the water energy resource. To increase efficiency, one of important factor is the turbine blade. The angle of the blade has to be designed corresponding to the head and flow of the water resource. The type of the turbine is also to be determined corresponding to the head and flow of the water resource too. Openflume turbine has a low head and flow characteristics (5 m and 0.01 ? 0.1 m3/s), so it can be operated easily and suitable for some water resource characteristics in Indonesia. This essay will discuss about designing an openflume turbine blade numerically. The turbine blade is to be designed corresponding to the head and flow of Salam UI lake, Depok, West Java (2.7 m and 0.041 m3/s). The turbine blade design has an overall efficiency of 81% using Computational Fluid Dynamic."