🚧 Under construction — VoTechWorks is being built. A free tech program — complimentary, as our commitment to get America working.
voTechWorksGrade 13 · a vocational technology learning center, by urbanicity
newSchoolWorks.com › VoTechWorks › Building & Construction › Solar / PV Installation › Electrical Fundamentals for PV Systems › Lesson 2
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.

VoTechWorks program approval and accreditation are still in progress. Credentials are issued only by the certifying bodies named in each program, after their own exams.

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:

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:

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:

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:

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

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.
  1. Identify the configuration: series string, so voltages add and current stays the same.
  2. Calculate Voc: 12 V × 3 modules = 36 V.
  3. Calculate Isc: 1.0 A (unchanged in a series circuit).
  4. 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.
  1. Find the voltage of one series string: 12 V × 3 = 36 V. In parallel, array Voc equals one string's Voc = 36 V.
  2. Find the current of one series string: 1.0 A. Two strings in parallel: array Isc = 1.0 A × 2 = 2.0 A.
  3. 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?
  1. Two correctly wired modules contribute +12 V each: 2 × 12 V = +24 V.
  2. The reversed module subtracts its voltage: +24 V − 12 V = 12 V.
  3. 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?
  1. Calculate 5% of the predicted value: 36 V × 0.05 = 1.8 V.
  2. Find the acceptable range: 36 V − 1.8 V = 34.2 V (lower limit); 36 V + 1.8 V = 37.8 V (upper limit).
  3. Compare the measured value: 34.6 V is between 34.2 V and 37.8 V.
  4. 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
Brush up in the math halls at newSchoolWorks.com:
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.

PV System Design and Array Configuration
1. Three PV modules, each with a Voc of 40 V and an Isc of 8 A, are connected in series. What is the expected string Voc?
PV System Design and Array Configuration
2. Three PV modules, each with a Voc of 40 V and an Isc of 8 A, are connected in parallel. What is the expected array Isc?
PV System Design and Array Configuration
3. A 2S3P array is built from modules rated 30 V Voc and 5 A Isc. What is the array's expected power output?
PV System Design and Array Configuration
4. A 2S3P array is built from modules rated 30 V Voc and 5 A Isc. What is the array's expected power output?
PV System Troubleshooting and Maintenance
5. A technician measures 24 V at the output of a series string of three 12 V module simulators. What is the most likely fault?
Electrical Fundamentals and Test Equipment
6. When using a DMM to measure the Isc of a low-voltage PV trainer circuit, how should the meter be connected?
Safety and OSHA Compliance
7. Before reconfiguring wiring on a PV trainer board—even a low-voltage one—a student should first:
Electrical Fundamentals and Test Equipment
8. A student predicts a string Voc of 48 V and measures 46.5 V. Which statement is correct?
PV System Design and Array Configuration
9. In a series string, shading one module has which effect on the string?
Record this lesson on my transcript. Sign in with your key and enrollment email to record lessons (enroll free if you have no key). This page stays open to read and practise.