diff --git a/docs/user_manual/calculations.md b/docs/user_manual/calculations.md
index 0fc9736f0..3d75877c0 100644
--- a/docs/user_manual/calculations.md
+++ b/docs/user_manual/calculations.md
@@ -364,9 +364,10 @@ Multiple appliance measurements (power measurements) on one bus are aggregated a
 
 $$
    \begin{eqnarray}
-            \underline{S} = \sum_{k=1}^{N_{appliance}} \underline{S}_k 
+            \underline{S} = \sum_{k=1}^{N_{appliance}} \underline{S}_k
             \quad\text{and}\quad
             \sigma_P^2 = \sum_{k=1}^{N_{appliance}} \sigma_{P,k}^2
+            \quad\text{and}\quad
             \sigma_Q^2 = \sum_{k=1}^{N_{appliance}} \sigma_{Q,k}^2
    \end{eqnarray}
 $$
diff --git a/tests/data/state_estimation/unbalanced-power-measurements/input.json b/tests/data/state_estimation/unbalanced-power-measurements/input.json
new file mode 100644
index 000000000..5056323ce
--- /dev/null
+++ b/tests/data/state_estimation/unbalanced-power-measurements/input.json
@@ -0,0 +1,98 @@
+{
+  "version": "1.0",
+  "type": "input",
+  "is_batch": false,
+  "attributes": {},
+  "data": {
+    "node": [
+      {
+        "id": 1,
+        "u_rated": 10.5e3
+      },
+      {
+        "id": 2,
+        "u_rated": 10.5e3
+      },
+      {
+        "id": 3,
+        "u_rated": 10.5e3
+      }
+    ],
+    "line": [
+      {
+        "id": 4,
+        "from_node": 1,
+        "to_node": 2,
+        "from_status": 1,
+        "to_status": 1,
+        "r1": 0.11,
+        "x1": 0.5,
+        "c1": 1.0e-4,
+        "tan1": 1.0,
+        "i_n": 510.0
+      },
+      {
+        "id": 5,
+        "from_node": 2,
+        "to_node": 3,
+        "from_status": 1,
+        "to_status": 1,
+        "r1": 0.15,
+        "x1": 0.5,
+        "c1": 1.0e-4,
+        "tan1": 1.0,
+        "i_n": 520.0
+      }
+    ],
+    "source": [
+      {
+        "id": 6,
+        "node": 1,
+        "status": 1,
+        "u_ref": 1.01047619047619,
+        "sk": 200e6
+      }
+    ],
+    "sym_load": [
+      {
+        "id": 7,
+        "node": 2,
+        "status": 1,
+        "type": 4
+      },
+      {
+        "id": 8,
+        "node": 3,
+        "status": 1,
+        "type": 4
+      }
+    ],
+    "sym_voltage_sensor": [
+      {
+        "id": 101,
+        "measured_object": 1,
+        "u_measured": 10751.072595758282,
+        "u_angle_measured": 0.0,
+        "u_sigma": 105.0
+      }
+    ],
+    "sym_power_sensor": [
+      {
+        "id": 701,
+        "measured_object": 7,
+        "measured_terminal_type": 4,
+        "p_measured": 1010000.0,
+        "q_measured": 210000.0,
+        "power_sigma": 10316.0
+      },
+      {
+        "id": 801,
+        "measured_object": 8,
+        "measured_terminal_type": 4,
+        "p_measured": 1020000.0,
+        "q_measured": 220000.0,
+        "power_sigma": 10435.0
+      }
+    ]
+  }
+}
\ No newline at end of file
diff --git a/tests/data/state_estimation/unbalanced-power-measurements/input.json.license b/tests/data/state_estimation/unbalanced-power-measurements/input.json.license
new file mode 100644
index 000000000..ebe16ce85
--- /dev/null
+++ b/tests/data/state_estimation/unbalanced-power-measurements/input.json.license
@@ -0,0 +1,3 @@
+SPDX-FileCopyrightText: 2022 Contributors to the Power Grid Model project <dynamic.grid.calculation@alliander.com>
+
+SPDX-License-Identifier: MPL-2.0
\ No newline at end of file
diff --git a/tests/data/state_estimation/unbalanced-power-measurements/params.json b/tests/data/state_estimation/unbalanced-power-measurements/params.json
new file mode 100644
index 000000000..d1df53f8d
--- /dev/null
+++ b/tests/data/state_estimation/unbalanced-power-measurements/params.json
@@ -0,0 +1,8 @@
+{
+  "calculation_method": "iterative_linear",
+  "rtol": 1e-8,
+  "atol": {
+    "default": 1e-8,
+    ".+_residual": 5e-4
+  }
+}
\ No newline at end of file
diff --git a/tests/data/state_estimation/unbalanced-power-measurements/params.json.license b/tests/data/state_estimation/unbalanced-power-measurements/params.json.license
new file mode 100644
index 000000000..ebe16ce85
--- /dev/null
+++ b/tests/data/state_estimation/unbalanced-power-measurements/params.json.license
@@ -0,0 +1,3 @@
+SPDX-FileCopyrightText: 2022 Contributors to the Power Grid Model project <dynamic.grid.calculation@alliander.com>
+
+SPDX-License-Identifier: MPL-2.0
\ No newline at end of file
diff --git a/tests/data/state_estimation/unbalanced-power-measurements/sym_output.json.license b/tests/data/state_estimation/unbalanced-power-measurements/sym_output.json.license
new file mode 100644
index 000000000..ebe16ce85
--- /dev/null
+++ b/tests/data/state_estimation/unbalanced-power-measurements/sym_output.json.license
@@ -0,0 +1,3 @@
+SPDX-FileCopyrightText: 2022 Contributors to the Power Grid Model project <dynamic.grid.calculation@alliander.com>
+
+SPDX-License-Identifier: MPL-2.0
\ No newline at end of file
diff --git a/tests/data/state_estimation/unbalanced-power-measurements/sym_output_batch.json b/tests/data/state_estimation/unbalanced-power-measurements/sym_output_batch.json
new file mode 100644
index 000000000..a75525830
--- /dev/null
+++ b/tests/data/state_estimation/unbalanced-power-measurements/sym_output_batch.json
@@ -0,0 +1,41 @@
+{
+  "version": "1.0",
+  "type": "sym_output",
+  "is_batch": true,
+  "attributes": {},
+  "data": [
+    {
+      "node": [
+        {"id": 1, "u": 10751.07259575828, "u_angle": 0},
+        {"id": 2, "u": 10901.81945984043, "u_angle": -0.03749215598206366},
+        {"id": 3, "u": 10936.7944291905, "u_angle": -0.05173620864857323}
+      ],
+      "sym_power_sensor": [
+        {"id": 701, "p_residual": -0.0007460998485697701, "q_residual": 0.0006035038024876371},
+        {"id": 801, "p_residual": -0.001219558232179452, "q_residual": 0.0009965786529342324}
+      ]
+    },
+    {
+      "node": [
+        {"id": 1, "u": 10751.07259575828, "u_angle": 0},
+        {"id": 2, "u": 10901.81945984043, "u_angle": -0.03749215598206366},
+        {"id": 3, "u": 10936.7944291905, "u_angle": -0.05173620864857323}
+      ],
+      "sym_power_sensor": [
+        {"id": 701, "p_residual": -0.0007460998485697701, "q_residual": 0.0006035038024876371},
+        {"id": 801, "p_residual": -0.001219558232179452, "q_residual": 0.0009965786529342324}
+      ]
+    },
+    {
+      "node": [
+        {"id": 1, "u": 10751.07259575828, "u_angle": 0},
+        {"id": 2, "u": 10901.81945984043, "u_angle": -0.03749215598206366},
+        {"id": 3, "u": 10936.7944291905, "u_angle": -0.05173620864857323}
+      ],
+      "sym_power_sensor": [
+        {"id": 701, "p_residual": -0.0007460998485697701, "q_residual": 0.0006035038024876371},
+        {"id": 801, "p_residual": -0.001219558232179452, "q_residual": 0.0009965786529342324}
+      ]
+    }
+  ]
+}
\ No newline at end of file
diff --git a/tests/data/state_estimation/unbalanced-power-measurements/update_batch.json b/tests/data/state_estimation/unbalanced-power-measurements/update_batch.json
new file mode 100644
index 000000000..242bec098
--- /dev/null
+++ b/tests/data/state_estimation/unbalanced-power-measurements/update_batch.json
@@ -0,0 +1,33 @@
+{
+  "version": "1.0",
+  "type": "update",
+  "is_batch": true,
+  "attributes": {
+    "sym_power_sensor": [
+      "id",
+      "power_sigma",
+      "p_measured",
+      "q_measured"
+    ]
+  },
+  "data": [
+    {
+      "sym_power_sensor": [
+        {"id": 701, "p_sigma": 7294.513554720424, "q_sigma": 7294.513554720424},
+        {"id": 801, "p_sigma": 7378.659261681623, "q_sigma": 7378.659261681623}
+      ]
+    },
+    {
+      "sym_power_sensor": [
+        {"id": 701, "p_sigma": 72.94513554720425, "q_sigma": 10315.484187104355},
+        {"id": 801, "p_sigma": 73.78659261681624, "q_sigma": 10434.478236955598}
+      ]
+    },
+    {
+      "sym_power_sensor": [
+        {"id": 701, "p_sigma": 10315.484187104353, "q_sigma": 72.94513554720425},
+        {"id": 801, "p_sigma": 10434.478236955598, "q_sigma": 73.78659261681624}
+      ]
+    }
+  ]
+}
\ No newline at end of file
diff --git a/tests/data/state_estimation/unbalanced-power-measurements/update_batch.json.license b/tests/data/state_estimation/unbalanced-power-measurements/update_batch.json.license
new file mode 100644
index 000000000..ebe16ce85
--- /dev/null
+++ b/tests/data/state_estimation/unbalanced-power-measurements/update_batch.json.license
@@ -0,0 +1,3 @@
+SPDX-FileCopyrightText: 2022 Contributors to the Power Grid Model project <dynamic.grid.calculation@alliander.com>
+
+SPDX-License-Identifier: MPL-2.0
\ No newline at end of file