BLD-SOLA09-03 · Lesson 2 · 14 clock hours · lab
Series, Parallel, and Series-Parallel Circuits in PV Arrays
Objective. Students will build and measure series, parallel, and series-parallel resistor or module simulator circuits, predicting and confirming voltage and current values within ±5% using a multimeter.
⚠ Pending professional review
This lesson, its worked examples and its practice questions has not yet been verified by a licensed professional engineer or master tradesperson or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.
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Why Circuit Configuration Matters in PV Arrays
Every PV array is a combination of individual modules connected together to reach the voltage and current levels a system needs. The way those modules are wired—series, parallel, or a mix of both—determines what voltage and current the array produces. Understanding these configurations is not just academic: sizing a string incorrectly can damage an inverter, produce no power at all, or create a serious safety hazard. NABCEP exam content and field practice both require you to predict and verify these values before energizing any circuit.
Series Circuits: Adding Voltage
When modules are wired in series, the positive terminal of one module connects to the negative terminal of the next. Electrons have only one path through the circuit, so the same current flows through every module.
Key rules for a series string:
- Total open-circuit voltage (Voc) = sum of individual module Voc values
- Total short-circuit current (Isc) = Isc of a single module (unchanged)
- Total power = Voc(total) × Isc
For example, three 12 V / 1 A modules in series produce 36 V and 1 A. Whenever one module in a series string is shaded or fails, current through the entire string drops because there is only one current path.
Parallel Circuits: Adding Current
When modules are wired in parallel, all positive terminals connect together and all negative terminals connect together. Each module has its own current path back to the load.
Key rules for a parallel bank:
- Total Voc = Voc of a single module (unchanged)
- Total Isc = sum of individual module Isc values
- Total power = Voc × Isc(total)
Two 12 V / 1 A modules in parallel produce 12 V and 2 A. A failed or shaded module reduces total current but does not kill output entirely—the remaining modules still conduct.
Series-Parallel (Series-Parallel) Arrays
Real residential and commercial arrays combine both configurations. A common shorthand is mSmP, where m is the number of modules per string (series) and the second m is the number of strings (parallel). A 2S2P array has two strings of two modules each.
Key rules for a series-parallel array:
- Total Voc = Voc(one module) × number of modules in series
- Total Isc = Isc(one module) × number of parallel strings
- Total power = Voc(array) × Isc(array)
For 12 V / 1 A modules in a 2S2P configuration: Voc = 24 V, Isc = 2 A, power = 48 W.
Measuring with a Digital Multimeter
A digital multimeter (DMM) is your primary diagnostic tool in this lab. Two measurements matter most:
- Voc (open-circuit voltage): Set DMM to DC volts, leave the circuit output unloaded (open), and place probes across the output terminals. Polarity matters—red probe to positive, black to negative. A negative reading means reversed polarity, not a damaged meter.
- Isc (short-circuit current): Set DMM to DC amps (or milliamps for low-current simulators), then connect the DMM in series with the circuit as the only load. On low-voltage trainers this is safe; never short high-voltage field arrays.
Record both the predicted value and the measured value in your lab log. A result within ±5% of prediction is acceptable and confirms your wiring is correct.
Diagnosing Faults: Reversed Polarity
A reversed module in a series string is one of the most common wiring faults in the field. When one module is flipped, its voltage subtracts from the string instead of adding. For three 12 V modules in series, one reversed module yields 12 V + 12 V − 12 V = 12 V at the output instead of 36 V.
To locate a reversed module:
1. Measure Voc of the complete string—if it is lower than expected, suspect a reversed module.
2. Working safely with a partner, measure voltage across each module individually while the string is open-circuit.
3. A module showing a negative voltage reading (red probe at its positive label) is wired backward.
4. Correct the connection and re-measure the string Voc.
Document every step in your lab log. Troubleshooting is a professional skill graded as seriously as correct predictions.
Safety for This Lab
- Safety glasses must be on before any circuit is built. Flying terminal clips are a real hazard.
- Insulated gloves (Class 00 minimum for these low-voltage trainers) are required whenever you are connecting or disconnecting live circuits.
- The trainer boards in this lab are low-voltage (12 V nominal), but good habits here carry over to field systems that can exceed 600 V DC.
- Lockout/tagout (LOTO): Even on trainers, disconnect power before reconfiguring wiring. Form the habit now—a 600 V DC array does not forgive lapses.
- Inspect every jumper cable for damaged insulation before use. Set damaged cables aside and notify the instructor.
- Never exceed the current rating of the DMM's fused input. Check the fuse rating before measuring current.
- No food or drink at the workstation.
Key terms8
Open-Circuit Voltage (Voc)The voltage across a PV module or array when no load is connected and no current is flowing; the maximum voltage the source can produce under those conditions.
Short-Circuit Current (Isc)The current that flows when a PV module or array output is directly connected (shorted) with no external resistance; the maximum current the source can produce under those conditions.
Series StringA set of PV modules connected positive-to-negative in a chain so their voltages add while current remains equal to that of a single module.
Parallel BankA set of PV modules or strings connected with all positives joined and all negatives joined so their currents add while voltage remains equal to that of a single module.
Series-Parallel (mSmP) ConfigurationAn array topology combining series strings connected in parallel; total voltage equals the series-string voltage and total current equals the sum of individual string currents.
Reversed PolarityA wiring fault in which a module's positive and negative leads are connected backward, causing its voltage to subtract from rather than add to the string voltage.
Digital Multimeter (DMM)A handheld electronic instrument used to measure DC voltage, DC current, resistance, and other electrical quantities; the standard diagnostic tool for PV installation and troubleshooting.
Lockout/Tagout (LOTO)An OSHA-required safety procedure that isolates and de-energizes equipment before service or reconfiguration and uses physical locks and warning tags to prevent accidental re-energization.
Worked examples4
1. Three module simulators, each rated 12 V Voc and 1.0 A Isc, are wired in series. Predict the string Voc, Isc, and power.
- Identify the configuration: series string, so voltages add and current stays the same.
- Calculate Voc: 12 V × 3 modules = 36 V.
- Calculate Isc: 1.0 A (unchanged in a series circuit).
- Calculate power: P = Voc × Isc = 36 V × 1.0 A = 36 W.
Answer: Voc = 36 V, Isc = 1.0 A, Power = 36 W.
2. Two series strings, each consisting of three 12 V / 1.0 A module simulators, are connected in parallel to form a 3S2P array. Predict the array Voc, Isc, and power.
- Find the voltage of one series string: 12 V × 3 = 36 V. In parallel, array Voc equals one string's Voc = 36 V.
- Find the current of one series string: 1.0 A. Two strings in parallel: array Isc = 1.0 A × 2 = 2.0 A.
- Calculate power: P = 36 V × 2.0 A = 72 W.
Answer: Voc = 36 V, Isc = 2.0 A, Power = 72 W.
3. In a series string of three 12 V / 1.0 A module simulators, one module is connected with reversed polarity. What Voc will the DMM read at the string output?
- Two correctly wired modules contribute +12 V each: 2 × 12 V = +24 V.
- The reversed module subtracts its voltage: +24 V − 12 V = 12 V.
- The DMM, with red probe on the string positive terminal, will read +12 V instead of the expected 36 V.
Answer: The DMM reads 12 V — a 24 V drop from the expected 36 V, indicating a single reversed module.
4. A student measures 34.6 V on a series string predicted to be 36 V. Is this within the ±5% lab tolerance?
- Calculate 5% of the predicted value: 36 V × 0.05 = 1.8 V.
- Find the acceptable range: 36 V − 1.8 V = 34.2 V (lower limit); 36 V + 1.8 V = 37.8 V (upper limit).
- Compare the measured value: 34.6 V is between 34.2 V and 37.8 V.
- Conclusion: 34.6 V is within ±5% of the prediction.
Answer: Yes — 34.6 V falls within the acceptable range of 34.2 V to 37.8 V, so this measurement passes.
The math in this lesson2
Learners check a 34.6 V reading against a ±5% band on 36 V.
7.RP.3A-SSE.1
In class: Pre-lab prediction sheet: for each of three circuit configurations (series string of 3 modules, parallel bank of 2 strings, 2s2p array), students calculate expected Voc, Isc, and power before touching any equipment. · Hands-on build: using PV trainer boards or low-voltage module simulators, students wire each configuration, then measure Voc and Isc with a digital multimeter, recording results in a lab log and comparing to predictions. · Error analysis discussion: instructor introduces one deliberate wiring fault (reversed polarity on one module) and students use their meters to locate and diagnose the fault, documenting the troubleshooting steps.
Materials: PV trainer boards or low-voltage module simulators (12 V nominal), digital multimeters (Fluke 117 or equivalent), banana-to-alligator jumpers, lab log notebooks, safety glasses, insulated gloves (Class 00 minimum for low-voltage trainer), student workbook Chapter 2.
Check: Lab log checked by instructor: all predicted vs. measured values recorded; measurements within ±5% of calculations for at least 5 of 6 circuit configurations; fault located correctly; pass requires all three criteria met.
Practice check9
Answer each question, then check it. Nothing is recorded; this is your own practice.
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