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Base Cost
Metal: 900
Crystal: 360
Deuterium: 180
Energy: 0
Fusion Reactor


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Fusion Reactors are buildings used for the conversion of the mined resource deuterium into energy. Fusion Reactors are especially effective at additional energy generation on colder planets, where Solar Satellites generate less energy and Deuterium Synthesizers generate more deuterium.

The efficiency raises according to the Energy Technology level as well as its own level, making the Fusion Reactor less effective for smaller players but a serious alternate energy source for larger ones.

RequirementsEdit

Formulae Edit

In the formulae below:

F = \mbox{level of Fusion Reactor}
T = \mbox{level of Energy Technology}

Costs by Level Edit

Base Cost is 900 metal, 360 crystal, and 180 deuterium. Then:

 Cost = {\mbox{Base Cost}} \times 1.8^{F-1}

Production Edit

 E = \mbox{Energy Produced (at full operation)}

Energy production depends on the level of the Fusion Reactor and the Energy Technology level:

 E = 30\times F\times (1.05 + (0.01\times T))^F

According to the Ogame Techinfo about - Fusion Reactor, the above formula should be:

(It should be noted that this formula gives extremely small values at higher levels)

 E = 30\times F\times [(1.05 + T) \times 0.01]^F

(Note: Prior to version 0.78a, the formula was: [Obsolete]  E = 50\times F\times 1.1^F )

Deuterium consumed depends only on the level of the fusion reactor (and the operation level, of course).

 D^{-} = \mbox{Deuterium Consumed (at full operation)}
 D^{-} = -10\times F\times 1.1^F ---> Correct Formula: D = -10*Economy Speed*F*1.1^F

Note: Deuterium cost is rounded down, just like all the other formulas; however, since it is a negative number, it will round down into the next larger negative number. For example, -24.2 will round down into -25, not -24.

Efficiency Edit

 e =\frac{E}{-D^{-}} =3\times\left(\frac{105+T}{110}\right)^F

Interestingly, when Energy Technology is 5, the efficiency does not depend on Fusion Reactor level at all: the Reactor produces exactly 3.0 units of energy for each unit of deuterium consumed. When Energy Technology is less than 5, then the efficiency of production worsens with increasing fusion reactor level; when Energy Tech is greater than 5, then the efficiency rises with an increase in fusion reactor level.

At Energy Tech 8, for example, each level of Fusion Reactor increases your efficiency by 3% (so efficiency goes like 3.09, 3.18, 3.28, 3.38, 3.48... for increasing reactor levels).

At Energy Tech 9, then each level of Fusion Reactor provides a 4% increase in efficiency (3.12, 3.24, 3.37, 3.51, 3.65,...).

At Energy Tech 10, then each level of Fusion Reactor provides a 5% increase in efficiency (3.15, 3.31, 3.47, 3.65, 3.83,...).

See the graph of efficiency below.

Level Table Edit

The following chart describes the cost of Fusion Reactors both in terms of hourly Deuterium consumption, and upgrade costs. Energy returned is affected by Energy Technology level researched. Note that the efficiency of the reactor increases at each new Energy Technology level and Reactor level. It means that you get more and more energy per the same amount of deuterium. Researching one level of Energy Technology generally increases the efficiency (power per unit deuterium) more than upgrading the Reactor one level, in particular because upgrading Energy Technology increases production of all your Fusion Reactors.

The pre 0.78a values are provided for comparison.

In the Universe 40 the Deuterium Consumption is 2*Default Consumption+2 (except for Level 1, where it is only 2*Deuterium Consumption).

In the Universe Draco the Deuterium Consumption is 4*Default Consumption+4 (except for Level 1, where it is only 4*Deuterium Consumption).

FusionReactor

Level

HourlyDeut.

Usage

Reactor Upgrade cost Energy Provided by Energy Technology Level Pre v0.78a
Metal Crystal Deut. 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
1 -11 900 360 180 32 32 33 33 33 33 34 34 34 35 35 35 36 36 36 36 55
2 -25 1,620 648 324 69 71 72 73 75 76 77 79 80 82 83 84 86 87 89 90 121
3 -40 2,916 1,166 583 113 116 119 123 126 129 133 136 140 144 147 151 155 159 163 167 199
4 -59 5,248 2,099 1,049 163 169 175 182 188 195 202 209 217 224 232 240 248 257 265 274 292
5 -81 9,447 3,779 1,889 220 230 241 252 264 276 288 301 315 328 343 357 373 389 405 422 402
6 -107 17,006 6,802 3,401 285 301 318 336 355 374 395 416 438 461 485 511 537 564 593 623 531
7 -137 30,611 12,224 6,122 359 383 409 435 464 494 525 558 593 630 668 709 752 797 844 894 682
8 -172 55,099 22,039 11,019 444 478 514 553 594 638 684 734 786 842 902 965 1,031 1,102 1,177 1,257 857
9 -213 99,179 39,671 19,835 539 586 636 690 748 811 878 949 1,026 1,109 1,197 1,292 1,393 1,501 1,616 1,739 1,061
10 -260 178,523 71,409 35,704 647 710 778 851 931 1,018 1,112 1,213 1,323 1,442 1,570 1,708 1,857 2,018 2,191 2,377 1,296
11 -314 321,342 128,536 64,268 769 851 941 1,040 1,147 1,265 1,394 1,535 1,688 1,855 2,038 2,236 2,451 2,686 2,940 3,217 1,569
12 -377 578,415 231,366 115,683 906 1,012 1,129 1,259 1,402 1,560 1,734 1,926 2,136 2,368 2,623 2,903 3,209 3,545 3,913 4,316 1,883
13 -449 1,041,148 416,459 208,229 1,060 1,195 1,346 1,514 1,701 1,910 2,142 2,399 2,685 3,002 3,353 3,742 4,172 4,648 5,172 5,752 2,243
14 -532 1,874,066 749,626 374,813 1,233 1,403 1,594 1,810 2,052 2,324 2,629 2,971 3,354 3,783 4,261 4,796 5,392 6,056 6,796 7,619 2,658
15 -627 3,373,320 1,349,328 674,664 1,427 1,639 1,879 2,153 2,463 2,814 3,212 3,661 4,169 4,742 5,388 6,115 6,933 7,852 8,884 10,041 3,132
16 -736 6,071,977 2,428,791 1,214,395 1,644 1,905 2,205 2,549 2,942 3,392 3,905 4,491 5,159 5,918 6,781 7,762 8,874 10,134 11,561 13,174 3,675
17 -860 10,929,558 4,371,823 2,185,912 1,887 2,207 2,577 3,006 3,501 4,072 4,730 5,488 6,358 7,357 8,502 9,814 11,314 13,029 14,986 17,216 4,296
18 -1.001 19,673,204 7,869,281 3,934,640 2,158 2,547 3,002 3,534 4,153 4,873 5,711 6,683 7,810 9,115 10,624 12,366 14,377 16,692 19,358 22,422 5,003
19 -1.163

35,411,767

14,164,706 7,082,353 2,460 2,931 3,486 4,140 4,909 5,813 6,872 8,112 9,563 11,257 13,232 15,533 18,210 21,320 24,929 29,111 5,810
20 -1.346 63,741,181 25,496,472 12,748,236 2,797 3,363 4,036 4,837 5,788 6,914 8,246 9,820 11,676 13,863 16,436 19,458 23,003 27,155 32,014 37,692 6,727
21 -1.555 114,734,125 45,893,650 22,946,825 3,171 3,848 4,662 5,637 6,806 8,203 9,870 11,857 14,221 17,031 20,363 24,312 28,983 34,501 41,010 48,679 7,770

Chart of Power Output related to supported levels of Terraforming. Edit

The boxed values support Graviton Tech 1 (more than 300k energy):

FusionPlantTerraforming

Note: I don't know where this information came from, but both of the graphs below are incorrect as of March 2014 at least.

This graph shows how much deuterium a deuterium synthesizer produces after subtracting the deuterium used by a fusion reactor to power it. The assumed maximum planet temperature for the synthesizer efficency is 0 degrees. Efficiency of 1.0 means that none of the produced deuterium is used to power the synthesizer, like when you power it with a solar power plant.

Fusion-Reactor-Efficiency
Fpdpev2

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