Tutorial:Solar power math - Revision history

HeliGungir: Marked for deletion. Power production#Solar panels and accumulators covers this topic better.

2026-09-23T09:36:21Z

Marked for deletion. Power production#Solar panels and accumulators covers this topic better.

← Older revision		Revision as of 09:36, 23 September 2026
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			{{delete\|[[Power production#Solar panels and accumulators]] covers this topic better.}}
	{{Languages}}		{{Languages}}
	In this tutorial we will properly quantify the amount of [[solar panel]]s and [[accumulator]]s needed and the proper ratio that is needed between the two buildings.		In this tutorial we will properly quantify the amount of [[solar panel]]s and [[accumulator]]s needed and the proper ratio that is needed between the two buildings.

BeholderBelow: 17/20 was incorrectly labeled as a ratio of 0.84

2026-02-01T13:08:34Z

17/20 was incorrectly labeled as a ratio of 0.84

← Older revision		Revision as of 13:08, 1 February 2026
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	==== Testing ratios ====		==== Testing ratios ====
	The most commonly recommended ratio is 21/25 or 0.84, let's see how it fairs against 17/20 or 0.84, and then check out ratios for 0.8467 and 0.8469. And for fairness, these tests start off with fully charged accumulators before a load is applied.		The most commonly recommended ratio is 21/25 or 0.84, let's see how it fairs against 17/20 or 0.85, and then check out ratios for 0.8467 and 0.8469. And for fairness, these tests start off with fully charged accumulators before a load is applied.

	<gallery mode="slideshow">		<gallery mode="slideshow">

Bilka: Use gallery instead of tabber

2025-03-05T16:12:10Z

Use gallery instead of tabber

← Older revision		Revision as of 16:12, 5 March 2025
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	* 1/0 regular inserters (400 W per unit).		* 1/0 regular inserters (400 W per unit).
	To that we add a generous 100 accumulators and observe the energy in the system.		To that we add a generous 100 accumulators and observe the energy in the system.
	<~~tabber~~>		<gallery mode="slideshow">
	41.9 kW grid ~~= [[~~File:~~Solar_panel_with_load_41point9kW~~.png\|~~1200px]]~~		File:Solar_panel_with_load_41point9kW.png\|41.9 kW grid
	~~\|-\|~~		File:Solar_panel_with_load_42kW.png\|42 kW grid
	42 kW grid ~~= [[~~File:~~Solar_panel_with_load_42kW~~.png\|~~1200px]]~~		File:Solar_panel_with_load_42kW_zoom.png\|42 kW grid (zoomed in)
	~~\|-\|~~		</gallery>
	42 kW grid (zoomed in) ~~= [[File:Solar_panel_with_load_42kW_zoom.png\|1200px]]~~
	</~~tabber~~>
	Experimental values for the 41.9 kW grid show the first peak has a height of about 4.24 MJ, with each consecutive peak growing higher as the true output of a solar panel is indeed more than 41.9 kW.<br>		Experimental values for the 41.9 kW grid show the first peak has a height of about 4.24 MJ, with each consecutive peak growing higher as the true output of a solar panel is indeed more than 41.9 kW.<br>
	Experimental values for the 42 kW grid show each peak reaching about 4.24 MJ, but falling short for 5 seconds if it has to start from no charge at all. This may be due to the fact that machines start to behave differently when power is low. However, if we start the experiment with some slight pre-existing charge, the system will be stable.		Experimental values for the 42 kW grid show each peak reaching about 4.24 MJ, but falling short for 5 seconds if it has to start from no charge at all. This may be due to the fact that machines start to behave differently when power is low. However, if we start the experiment with some slight pre-existing charge, the system will be stable.
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	The most commonly recommended ratio is 21/25 or 0.84, let's see how it fairs against 17/20 or 0.84, and then check out ratios for 0.8467 and 0.8469. And for fairness, these tests start off with fully charged accumulators before a load is applied.		The most commonly recommended ratio is 21/25 or 0.84, let's see how it fairs against 17/20 or 0.84, and then check out ratios for 0.8467 and 0.8469. And for fairness, these tests start off with fully charged accumulators before a load is applied.

	<~~tabber~~>		<gallery mode="slideshow">
	84/100 (21/25 or 0.84) ~~= [[File:Solar_panel_21to25.png\|1200px]]~~		File:Solar_panel_21to25.png\|84/100 (21/25 or 0.84)<br>fell 0 kJ accumulator charge for 18 seconds
	<br>fell 0 kJ accumulator charge for 18 seconds		File:Solar_panel_17to20.png\|85/100 (17/20 or 0.85)<br>lowest recorded accumulator charge: 959 kJ (11.282 kJ per accumulator)
	\|-\|		File:Solar_panel_83to98.png\|83/98 (or 0.8469)<br>lowest recorded accumulator charge: 107 kJ (1.289 kJ per accumulator)
	85/100 (17/20 or 0.85) ~~= [[File:Solar_panel_17to20.png\|1200px]]~~		File:Solar_panel_116to137.png\|116/137 (or 0.8467)<br>fell 0 kJ accumulator charge for half a second
	<br>lowest recorded accumulator charge: 959 kJ (11.282 kJ per accumulator)		</gallery>
	\|-\|
	83/98 (or 0.8469)~~= [[File:Solar_panel_83to98.png\|1200px]]~~
	<br>lowest recorded accumulator charge: 107 kJ (1.289 kJ per accumulator)
	\|-\|
	116/137 (or 0.8467) ~~= [[File:Solar_panel_116to137.png\|1200px]]~~
	<br>fell 0 kJ accumulator charge for half a second
	</~~tabber~~>

	The tests support the analytic solution. The ratio for 0.8467 barely falls short of being able to sustain 42 kW of power, while 0.8469 almost fully discharges to 0.025%.		The tests support the analytic solution. The ratio for 0.8467 barely falls short of being able to sustain 42 kW of power, while 0.8469 almost fully discharges to 0.025%.

Cardinal: Fixed tabber.

2025-02-25T00:25:56Z

Fixed tabber.

← Older revision		Revision as of 00:25, 25 February 2025
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	<tabber>		<tabber>
	41.9 kW grid = [[File:Solar_panel_with_load_41point9kW.png\|1200px]]		41.9 kW grid = [[File:Solar_panel_with_load_41point9kW.png\|1200px]]
	\-\		\|-\|
	42 kW grid = [[File:Solar_panel_with_load_42kW.png\|1200px]]		42 kW grid = [[File:Solar_panel_with_load_42kW.png\|1200px]]
	\-\		\|-\|
	42 kW grid (zoomed in) = [[File:Solar_panel_with_load_42kW_zoom.png\|1200px]]		42 kW grid (zoomed in) = [[File:Solar_panel_with_load_42kW_zoom.png\|1200px]]
	</tabber>		</tabber>
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	<tabber>		<tabber>
	84/100 (21/25 or 0.84) = [[File:Solar_panel_21to25.png\|1200px]]		84/100 (21/25 or 0.84) = [[File:Solar_panel_21to25.png\|1200px]]
			<br>fell 0 kJ accumulator charge for 18 seconds
	fell 0 kJ accumulator charge for 18 seconds		\|-\|
	\-\
	85/100 (17/20 or 0.85) = [[File:Solar_panel_17to20.png\|1200px]]		85/100 (17/20 or 0.85) = [[File:Solar_panel_17to20.png\|1200px]]
			<br>lowest recorded accumulator charge: 959 kJ (11.282 kJ per accumulator)
	lowest recorded accumulator charge: 959 kJ (11.282 kJ per accumulator)		\|-\|
	\-\
	83/98 (or 0.8469)= [[File:Solar_panel_83to98.png\|1200px]]		83/98 (or 0.8469)= [[File:Solar_panel_83to98.png\|1200px]]
			<br>lowest recorded accumulator charge: 107 kJ (1.289 kJ per accumulator)
	lowest recorded accumulator charge: 107 kJ (1.289 kJ per accumulator)		\|-\|
	\-\
	116/137 (or 0.8467) = [[File:Solar_panel_116to137.png\|1200px]]		116/137 (or 0.8467) = [[File:Solar_panel_116to137.png\|1200px]]
			<br>fell 0 kJ accumulator charge for half a second
	fell 0 kJ accumulator charge for half a second
	</tabber>		</tabber>

	The tests support the analytic solution. The ratio for 0.8467 barely falls short of being able to sustain 42 kW of power, while 0.8469 almost fully discharges to 0.025%.		The tests support the analytic solution. The ratio for 0.8467 barely falls short of being able to sustain 42 kW of power, while 0.8469 almost fully discharges to 0.025%.

Cardinal: Added language suffix.

2025-02-22T17:04:44Z

Added language suffix.

← Older revision		Revision as of 17:04, 22 February 2025
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			{{Languages}}
	In this tutorial we will properly quantify the amount of [[solar panel]]s and [[accumulator]]s needed and the proper ratio that is needed between the two buildings.		In this tutorial we will properly quantify the amount of [[solar panel]]s and [[accumulator]]s needed and the proper ratio that is needed between the two buildings.

Untitled7 at 19:18, 16 November 2024

2024-11-16T19:18:23Z

← Older revision		Revision as of 19:18, 16 November 2024
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	</div>		</div>
	</div>		</div>

	~~== Accumulators per solar panel ==~~

	Knowing how much power a solar panel provides on average we can construct a fitting load to test how much max accumulator charge <math>\hat{A}</math> is needed.		Knowing how much power a solar panel provides on average we can construct a fitting load to test how much max accumulator charge <math>\hat{A}</math> is needed.
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	</tabber>		</tabber>
	Experimental values for the 41.9 kW grid show the first peak has a height of about 4.24 MJ, with each consecutive peak growing higher as the true output of a solar panel is indeed more than 41.9 kW.<br>		Experimental values for the 41.9 kW grid show the first peak has a height of about 4.24 MJ, with each consecutive peak growing higher as the true output of a solar panel is indeed more than 41.9 kW.<br>
	Experimental values for the 42 kW grid show each peak reaching about 4.24 MJ, but falling short for 5 seconds.		Experimental values for the 42 kW grid show each peak reaching about 4.24 MJ, but falling short for 5 seconds if it has to start from no charge at all. This may be due to the fact that machines start to behave differently when power is low. However, if we start the experiment with some slight pre-existing charge, the system will be stable.

			== Accumulators per solar panel ==

	4.24 MJ is enough to fill 0.848 accumulators as they can hold a charge of 5 MJ each. Conservatively we can therefore set 0.85 accumulators per solar panel, or a ratio of 20 solar panels to 17 accumulators. A less conservative approach is to use 0.84 accumulators per solar panel, or a ratio of 25 solar panels to 21 accumulators.		4.24 MJ is enough to fill 0.848 accumulators as they can hold a charge of 5 MJ each. Conservatively we can therefore set 0.85 accumulators per solar panel, or a ratio of 20 solar panels to 17 accumulators. A less conservative approach is to use 0.84 accumulators per solar panel, or a ratio of 25 solar panels to 21 accumulators.

Untitled7: /* Average output of 1 solar panel */

2024-11-16T18:47:16Z

Average output of 1 solar panel

← Older revision		Revision as of 18:47, 16 November 2024
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	= \frac{A(T)}{T}		= \frac{A(T)}{T}
	= \frac{17\,640 \, \mathrm{kJ}}{420 \, \mathrm{s}}		= \frac{17\,640 \, \mathrm{kJ}}{420 \, \mathrm{s}}
	~~\approx~~ 42 \, \mathrm{kW}		= 42 \, \mathrm{kW}
	\end{align}		\end{align}
	</math>		</math>

Untitled7 at 18:43, 16 November 2024

2024-11-16T18:43:03Z

@@ Line 73: / Line 73: @@
 A day on Nauvis lasts 7 minutes, or <math> T = 420 \, \mathrm{s}</math>, which means that each solar panel provides about 42 kW of power on average.
-<div class="toccolours mw-collapsible mw-collapsed">
+<div class="toccolours mw-collapsible mw-collapsed" style="  border-color:#141414 #3E3E3E #3E3E3E #141414;border-width: 2px;">
 '''Solarpanel output as a function'''
 <div class="mw-collapsible-content">
@@ Line 122: / Line 122: @@
 .24 MJ is enough to fill 0.848 accumulators as they can hold a charge of 5 MJ each. Conservatively we can therefore set 0.85 accumulators per solar panel, or a ratio of 20 solar panels to 17 accumulators. A less conservative approach is to use 0.84 accumulators per solar panel, or a ratio of 25 solar panels to 21 accumulators.
-<div class="toccolours mw-collapsible mw-collapsed">
+<div class="toccolours mw-collapsible mw-collapsed" style="  border-color:#141414 #3E3E3E #3E3E3E #141414;border-width: 2px;">
-'''Analytic solution'''
+'''Analytic solution: 2646/3125'''
 <div class="mw-collapsible-content">
@@ Line 201: / Line 201: @@
 <math>\frac{\tfrac{21\,168}{5} \mathrm{kJ}}{5\,000 \, \mathrm{kJ}} = \frac{2\,646}{3\,125} = 0.846\,72</math>
-It takes 0.84672 accumulators per solar panel, or a ratio of 2646 accumulators to 3125 solar panels. Speaking conservatively we can take a higher ratio of 0.85 with 17 accumulators to 20 solar panels
+It takes 0.84672 accumulators per solar panel, or a ratio of 2646 accumulators to 3125 solar panels. Speaking conservatively we can take a higher ratio of 0.85 with 17 accumulators to 20 solar panels.
 </div>
 </div>

Untitled7: /* Accumulators per solar panel */

2024-11-15T22:53:07Z

Accumulators per solar panel

← Older revision		Revision as of 22:53, 15 November 2024
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	\begin{align}		\begin{align}
	42 &= \frac{60}{84} \cdot t_\text{start}\\		42 &= \frac{60}{84} \cdot t_\text{start}\\
	t_\text{start} = \frac{3528}{60}		t_\text{start} &= \frac{3528}{60}
	\end{align}		\end{align}
	</math>		</math>

Untitled7 at 22:51, 15 November 2024

2024-11-15T22:51:58Z

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