Array layout and row spacing: the shading-density trade-off
A worked-trigonometry guide to inter-row shading geometry, solar altitude at the design hour, and how ground coverage ratio trades off against annual shading loss.
A practical guide to sizing DC and AC PV cables, covering ampacity derating and voltage drop calculations with worked numeric examples and IEC references.
Cable sizing sits at the intersection of two disciplines that installers often treat separately: electrical safety and energy yield. A cable that is technically compliant with ampacity tables can still be the wrong cable if it bleeds away two percent of annual production through resistive losses. Getting sizing right means working through current, temperature, routing, and economics together rather than picking the smallest conductor that clears a code check.
This article walks through the DC side (string cables, home-run cables) and the AC side (inverter-to-distribution-board, and distribution-board-to-grid) of a typical residential or small commercial system. It covers ampacity derating for real installation conditions, the voltage drop calculation itself, and where the two constraints — thermal limit and voltage drop limit — tend to bind in practice. Readers who want a quick sanity check on an existing design can cross-reference the voltage drop calculator alongside the worked examples below.
The underlying physics is simple; the practical difficulty is in the number of derating factors that stack on top of a base ampacity figure, and in resisting the temptation to skip the voltage drop check once the thermal check has passed. Both checks are independent and both must pass.
A cable has a current-carrying capacity (ampacity) set by insulation temperature limits, and it has a resistance per unit length that causes a voltage drop proportional to current and length. A short, heavily loaded cable can pass the thermal check easily while still causing several percent of voltage drop if the load is far from the source. Conversely, a very long but lightly loaded cable can satisfy the voltage drop rule while being oversized for ampacity. Both DC string cabling and AC output cabling need both checks run independently, and the larger of the two resulting cross-sections is the one specified.
For DC strings, IEC 62548 sets requirements for string and array wiring, including cable selection, overcurrent protection, and rapid shutdown provisions in some jurisdictions. For AC low-voltage wiring, IEC 60364-7-712 (the section of the wiring regulations dealing specifically with PV supply systems) governs cable and protection selection, and national wiring regulations (e.g., BS 7671 in the UK, VDE 0100-712 in Germany) layer on top.
Base ampacity tables (for example those in IEC 60364-5-52 or manufacturer datasheets for single-core PV cable to EN 50618) specify current capacity for a defined installation method, ambient temperature, and grouping. Real installations rarely match the reference condition exactly, so several correction factors are applied multiplicatively:
A cable rated 30 A at reference conditions might realistically carry only 21–24 A once ambient temperature and grouping factors are applied for a rooftop conduit run with three or four DC circuits bundled together. Skipping derating is one of the most common reasons a system passes initial inspection but shows insulation degradation or connector discoloration years later.
Figure — DC circuit route length
DC string cable (typically EN 50618 or UL 4703 rated, double-insulated, UV- and weather-resistant) is sized first for the maximum string current — normally 1.25 × the module's short-circuit current (Isc) at STC, to account for irradiance enhancement effects above 1000 W/m² that can push actual current above the nameplate figure. A further 1.25 factor is sometimes applied for continuous-duty derating in some codes, giving a combined 1.56× multiplier from module Isc to minimum overcurrent device and cable rating, though many contemporary designs use 1.25× alone with a properly rated fuse or the inverter's inherent overcurrent tolerance where no fuse is required.
Consider a string with module Isc = 11.5 A, home-run cable length (one-way) of 35 m from the array to the combiner/inverter, system voltage around 600 V DC, and 4 mm² copper PV cable (resistance approximately 4.61 mΩ/m at 20°C, rising with temperature).
Design current: 11.5 A × 1.25 = 14.4 A. A 4 mm² PV cable derated for rooftop conduit conditions typically retains ampacity well above this, so the thermal check passes comfortably.
Voltage drop check: voltage drop (V) = 2 × I × L × R, where the factor of 2 accounts for the outbound and return conductor, I is design current, L is one-way length, and R is resistance per metre.
V_drop = 2 × 14.4 A × 35 m × 0.00461 Ω/m = 4.65 V
As a percentage of a typical string operating voltage of 400 V: 4.65 / 400 = 1.16%. This sits comfortably under the commonly used 1–2% DC voltage drop target for string cabling, so 4 mm² is adequate for this run length. Extending the run to 70 m would double the drop to roughly 2.3%, at which point stepping up to 6 mm² (resistance approximately 3.08 mΩ/m) would bring the figure back to about 1.5%.
AC output cable runs from the inverter to the main distribution board, and from there to the point of common coupling. The relevant current is the inverter's rated AC output current (or the sum of currents for multiple inverters sharing a feeder), and the same ampacity-then-voltage-drop sequence applies, using three-phase or single-phase formulas as appropriate.
Inverter rated output: 25 A at 230 V, cable run 20 m one-way, 6 mm² copper cable (resistance approximately 3.08 mΩ/m, reactance typically small enough to neglect at this scale for a first-pass check).
V_drop = 2 × 25 A × 20 m × 0.00308 Ω/m = 3.08 V
As a percentage of 230 V: 3.08 / 230 = 1.34%. Many grid codes and IEC 60364 guidance recommend keeping total voltage drop from origin to any point of use under about 3–5%, with the PV-specific portion often targeted at 1–3% to leave headroom for the rest of the installation's wiring. This run passes with margin; a 40 m run at the same current would approach 2.7%, prompting consideration of 10 mm² cable.
| Segment | Typical target voltage drop | Rationale |
|---|---|---|
| DC string/home-run | 1–2% | Minimise MPPT mismatch and energy loss on the highest-current, often longest DC run |
| DC combiner to inverter | under 1% | Usually short; tight target is easy to meet and protects overall budget |
| AC inverter to distribution board | 1–2% | Shares budget with upstream grid connection cabling |
| AC distribution board to grid connection point | 1–2% | Combined with above should not exceed overall code limit (often 3–5% total) |
| Cable type | Typical use | Notes |
|---|---|---|
| EN 50618 / UL 4703 PV cable | DC string and home-run wiring | Double insulated, UV and weather resistant, rated for outdoor exposed use |
| XLPE/PVC building wire in conduit | AC inverter output, sub-mains | Standard low-voltage wiring practice, must match conduit fill and derating tables |
| Armoured cable (e.g., SWA) | Underground AC runs to grid connection | Mechanical protection allows direct burial with reduced ducting requirements |
| Aluminium conductor (larger commercial runs) | Long AC feeders where copper cost is prohibitive | Requires larger cross-section for equivalent ampacity and careful termination to avoid oxidation issues |
Cable sizing cannot be decided independently of overcurrent protection. The cable's ampacity, once derated, must exceed the rating of the fuse or circuit breaker protecting it, and that protective device rating must in turn be compatible with the source's maximum fault current contribution — which for a PV string is limited and close to Isc, unlike a grid-fed circuit where fault current can be very high. This is one reason DC fusing philosophy differs from AC fusing philosophy: many two-string arrays do not require string fuses at all, because the maximum fault current one string can push backward into another under a fault condition is inherently limited to about 1.25× Isc, often within the cable's rating without added protection. Multi-string combiners with three or more parallel strings usually do require fusing, since a faulted string could see fault current contributions from all the healthy strings combined.
Cable resistance rises with conductor temperature at roughly 0.4% per °C for copper relative to the 20°C reference figures used in most tables. A cable operating at 60°C conductor temperature (a realistic figure for a derated, loaded rooftop conduit run) has resistance around 16% higher than its 20°C rated value. For long runs operating near their thermal limit, using the 20°C resistance figure without a temperature correction can understate voltage drop by a meaningful margin, so designs with tight voltage drop margins should recalculate using expected operating temperature rather than the nameplate 20°C value.
Decision tree
Work down the list in order. Ampacity is a safety limit and comes first; voltage drop is an economic limit and is decided afterwards.
Is the cable rated for the design current after every derating factor?
Design current for a PV string is 1.25 × Isc(STC). Derate for ambient temperature, grouping, conduit and solar gain on the roof surface.
Is the DC voltage drop at maximum power below 1 percent?
Measure the true routed length, not the plan distance, and double it for the two-wire circuit.
Does the AC side stay within the total drop allowed by the wiring rules?
Most national rules derived from IEC 60364 allow 3 percent for the final circuit and 5 percent overall from the origin of the installation.
Is the conductor mechanically and environmentally suited to the route?
Rooftop DC cable needs UV-stable, double-insulated, halogen-free construction to EN 50618 with a 90 °C or higher conductor rating.
This workflow mirrors the broader design sequence discussed in roof mounting done right, where mechanical and electrical routing decisions are made together rather than as an afterthought.
PV string cable (EN 50618) is designed for continuous outdoor exposure, UV radiation, wide temperature swings, and mechanical stress from clips and connectors over a 25-30 year service life, conditions ordinary PVC building wire is not rated for. It typically uses cross-linked, halogen-free insulation with a higher temperature rating, often 90°C or higher continuous, than standard building cable. Using non-PV-rated cable for exposed DC runs risks premature insulation failure, which is both a safety and a fire risk given the cable often cannot be de-energised by simply switching off a breaker while the array is illuminated.
A cable run with 2% voltage drop at rated current loses roughly 2% of the power delivered through that segment whenever the system operates near that current, though actual losses scale with the square of current relative to the design condition, so annual energy loss is usually somewhat less than the peak percentage figure. For a small residential system, 1-2% avoidable loss might represent 50-150 kWh per year — modest per system but worth eliminating at design time since the incremental cable cost is small compared to total losses over 25 years.
Aluminium is occasionally used for longer AC feeders in commercial and utility-scale systems where cost and weight favour it over copper, but it requires roughly 1.6 times the cross-sectional area of copper for equivalent ampacity and demands terminations rated for aluminium to avoid galvanic corrosion and loosening over time. For DC string cabling, copper remains near-universal because cable diameters are small and the added complexity of aluminium terminations is not justified at those currents.
Oversizing reduces voltage drop and resistive losses further and adds thermal margin, at the cost of higher material cost, more difficult routing due to larger bend radius and weight, and sometimes incompatibility with connector or gland sizes. Moderate oversizing by one standard size is common practice and inexpensive insurance; excessive oversizing rarely pays back given diminishing returns on loss reduction once drop is already well under 1%.
Conduit fill limits (the proportion of a conduit's cross-sectional area that may be occupied by cables) affect both installation practicality and heat dissipation, and are set out in wiring regulations and cable manufacturer guidance. High fill ratios increase mutual heating and reduce effective ampacity beyond what a simple grouping factor captures, and can make future cable additions or replacements impractical, so many designers deliberately keep fill below the regulatory maximum with headroom for maintenance access.
Standards are cited for orientation. Always work from the current published edition and the national annex that applies in your jurisdiction.
First published.
Technical review: worked examples re-derived, standards references checked against current editions, sources verified.
A worked-trigonometry guide to inter-row shading geometry, solar altitude at the design hour, and how ground coverage ratio trades off against annual shading loss.
A technical comparison of ground-mount and roof-mount PV covering yield, tilt freedom, foundations, cost per kWp, cabling, permitting, and O&M access.
How EN 1991-1-3 and 1991-1-4 govern PV mounting design, from terrain factors and edge zones to uplift arithmetic and roof capacity checks.