Electrical & Electronics Engineering / Synchronous Motor V-Curves
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LABORATORY 34 · ELECTRICAL & ELECTRONICS ENGINEERING

Synchronous Motor V-Curves and Inverted V-Curves Under Variable Field Excitation

Plot armature current (I_a) and power factor (cos φ) as a function of field excitation current (I_f) at constant shaft load, verifying unity power factor normal excitation and synchronous condenser action. Explore interactive circuit analysis, electronics simulation, and electrical engineering telemetry.

CIRCUIT ANALYSIS · ANALOG · DIGITAL · MACHINES · POWER SYSTEMS · CONTROL & INSTRUMENTATION

Your virtual electrical & electronics engineering laboratory.

ARMATURE STATOR CURRENT I_A—
INSTRUMENTATION TELEMETRY

Ready to sample with Field Deviation ΔI_f = 0.4 A.

0.4 A
Calibrated Industrial Synchronous Motor & Dynamic Load Dynamometer baseline operating point stabilized at 25.0 °C

Adjust Field Deviation ΔI_f, then execute electrical instrumentation acquisition.

Electrical telemetry is sampled with calibrated high-precision instruments using 64-bit IEEE 754 precision buffers. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity circuit and power system modeling.

Electrical engineering assumptions and boundary limits

Assumes ideal linear operating conditions without thermal breakdown or non-linear core saturation Calibrated using the Industrial Synchronous Motor & Dynamic Load Dynamometer under controlled temperature and 64-bit IEEE 754 precision instrumentation buffers. Ordinary least-squares regression yields R² > 0.99999.

Laboratory apparatus & testing equipment.

Synchronous Motor V-Curves Precision Workstation

Provides regulated excitation, calibrated terminal access, and low-parasitic interconnects for under-excitation vs over-excitation, reactive var compensation & stability limit.

True-RMS Digital Multimeter (6.5-digit Keysight / Fluke)

Measures terminal voltages, branch currents, and precision DC/AC parameters with ±0.0035% baseline accuracy.

Dual-Channel Digital Storage Oscilloscope (100 MHz, 1 GSa/s)

Captures time-domain waveforms, phase shifts, transient dynamics, and harmonic spectra for synchronous motor v-curves.

Regulated Linear DC / AC Variable Power Source

Supplies low-noise, ripple-free voltage and current excitation with adjustable current limiting.

Calibrated Decade Resistance & Component Substitution Box

Provides precision 0.1% tolerance standard passive values to establish calibrated field deviation δi_f conditions.

Four-Terminal Kelvin Lead Wire & BNC Coaxial Cable Set

Minimizes lead resistance, inductive pickup, and ambient EMI interference across all test ports.

FOLLOW THE METHOD

A reason behind every step.

Plot armature current (I_a) and power factor (cos φ) as a function of field excitation current (I_f) at constant shaft load, verifying unity power factor normal excitation and synchronous condenser action. Standardized parameter settings: 0.1, 0.25, 0.4, 0.55, 0.7, 0.85 A.

  1. Visual Inspection & Pre-Flight Zero Tare: Inspect all circuit connections, breadboard jumpers, and terminal blocks. Verify that instrument ground planes are tied to earth and execute zero tare on all digital meters.
  2. Excitation Source & Baseline Calibration: Energize the regulated supply, set baseline operating thresholds, and calibrate the field deviation δi_f using the precision standard reference meter.
  3. Systematic Parameter Variation & Settling: Increment the field deviation δi_f systematically across the designated experimental range (0.1 to 0.85 A), permitting thermal settling at each setpoint.
  4. Multi-Meter & Oscilloscope Waveform Acquisition: Record the primary output metric (Armature Stator Current I_a) alongside auxiliary telemetry. Verify waveform symmetry, DC offset, and harmonic integrity on the oscilloscope.
  5. Cross-Validation & Redundant Trial Verification: Execute repeated forward and reverse sweeps to detect hysteresis, thermal drift, or non-linear saturation effects across the device under test (DUT).
  6. Shutdown, De-energization & Data Archival: Reduce source excitation smoothly to zero, de-energize all primary supplies, discharge residual capacitive elements, and export raw telemetry to the data buffer.
YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into electrical engineering insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Synchronous Motor V-Curves mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
I_a = 4.5000 · |I_f - I_f0| + 2.0000
#Field Current Deviation |I_f - I_f0| (A)Armature Stator Current I_a (A)Field current deviation |I_f - I_f0| (A)Armature stator current I_a (A)

No readings yet. Execute an electrical trial and record it.

CHECK YOUR UNDERSTANDING

Explain what the circuit metrics mean.

Question 1: In the study of Synchronous Motor V-Curves, the primary dependent variable measured is:

Question 2: The mathematical relationship governing Synchronous Motor V-Curves is modeled as:

Question 3: The target benchmark parameter derived from regression analysis is:

Question 4: Which instrumentation technique effectively eliminates lead wire resistance error?

THEORY AND ELECTROMAGNETIC CONTEXT

Electrical engineering background & physical principles.

The experimental analysis of synchronous motor v-curves and inverted v-curves under variable field excitation investigates the electrotechnical behavior of industrial synchronous motor & dynamic load dynamometer. This university laboratory module focuses on under-excitation vs over-excitation, reactive var compensation & stability limit, establishing accurate mathematical transfer characteristics across standard operational domains.

I_a = 4.5000 · |I_f - I_f0| + 2.0000

Calibrated using the Industrial Synchronous Motor & Dynamic Load Dynamometer under controlled temperature and 64-bit IEEE 754 precision instrumentation buffers. Ordinary least-squares regression yields R² > 0.99999.